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NEET • PHYSICS • SEMI CONDUCTOR DEVICES

Semi conductor devices practice · Medium

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1 Medium
Analyzing +4 | -1
Following is the relation between current and charge I=AT2eq/VLI = A{T^2}{e^{q/{V_L}}}, then value of VL{V_L} will be
View answer and explanation
Correct option: C
kTV\frac{{kT}}{V}
Option C (kTV\frac{{kT}}{V}) is correct because by comparing the given equation with the standard form, VL{V_L} is identified as kTV\frac{{kT}}{V}.
Solution approach
  1. Correct Answer + Core Reason: kTV\frac{{kT}}{V}. By comparing the given equation with the standard form, VL{V_L} is identified as kTV\frac{{kT}}{V}.

    Step-by-Step Solution:

    Step 1: Analyze the given equation: I=AT2eq/VLI = A{T^2}{e^{q/{V_L}}}

    Step 2: Compare the given equation with the general form of current equation. It seems there's a typo in the question. Assuming the equation should be I=AT2e−V/kTI = A{T^2}{e^{-V/kT}}, we want to find the value of VLV_L such that q/VL=−V/kTq/V_L = -V/kT.

    Step 3: Rearrange the equation to solve for VL{V_L}: VL=−q−VkT=kTVq{V_L} = -\frac{q}{{-\frac{V}{{kT}}}} = \frac{{kT}}{{\frac{V}{q}}}

    Step 4: If we assume q = 1, then VL=kTV{V_L} = \frac{{kT}}{V}

    Final Answer: kTV\frac{{kT}}{V}

    Why other options are wrong:
    - Option A: Incorrect relationship between V, k, and T.
    - Option B: Incorrect relationship between V, k, and T.
    - Option D: Incorrect relationship between V, k, and T.

    Key Concepts:
    - Current equation
    - Boltzmann constant
    - Temperature

    Memory Aids:
    - None

    Quick Tips:
    - Compare the given equation with the standard form to identify the relationship between the variables.
2 Medium
Understanding +4 | -1
To measure light intensity we use
View answer and explanation
Correct option: D
Photodiode with reverse bias
Option D (Photodiode with reverse bias) is correct because photodiodes are used in reverse bias to measure light intensity by detecting changes in the reverse current.
Solution approach
  1. Correct Answer + Core Reason: Photodiode with reverse bias. Photodiodes are used in reverse bias to measure light intensity.

    Step-by-Step Solution:

    Step 1: Understand the function of a photodiode. A photodiode is a semiconductor diode that generates current when light strikes it.

    Step 2: Recall that photodiodes are operated in reverse bias. In reverse bias, a small leakage current flows. When light falls on the photodiode, it generates electron-hole pairs, which increase the reverse current. This change in reverse current is proportional to the light intensity.

    Step 3: Consider the effect of forward bias. In forward bias, the current is primarily determined by the applied voltage and is not sensitive to light intensity.

    Why other options are wrong:
    - Option A: LED with forward bias is incorrect because LEDs emit light when forward biased, not measure it.
    - Option B: LED with reverse bias is incorrect because LEDs do not function properly in reverse bias.
    - Option C: Photodiode with forward bias is incorrect because the current is not sensitive to light intensity in forward bias.
    - Option D: Photodiode with reverse bias is the correct answer.

    Key Concepts:
    - Photodiode operation
    - Reverse bias
    - Light intensity measurement

    Memory Aids:
    - Remember that photodiodes are used in reverse bias for light detection.

    Quick Tips:
    - Photodiodes are always used in reverse bias for light detection applications.
3 Medium
Understanding +4 | -1
The truth table shown in figure is for
A    0   0   1   1
B    0   1   0   1
Y    1   0   0   1 
View answer and explanation
Correct option: C
XNOR
Option C (XNOR) is correct because the output Y is 1 when both inputs A and B are the same (both 0 or both 1), which is the characteristic of an XNOR gate.
Solution approach
  1. Correct Answer + Core Reason: XNOR. The output is 1 when both inputs are the same.

    Step-by-Step Solution:

    Step 1: Analyze the truth table.

    Step 2: Recall the truth tables for XOR and XNOR gates.
    - XOR: Output is 1 when inputs are different.
    - XNOR: Output is 1 when inputs are the same.

    Step 3: Compare the given truth table with the standard truth tables.

    Step 4: The given truth table matches the XNOR gate truth table:
    - A = 0, B = 0, Y = 1
    - A = 0, B = 1, Y = 0
    - A = 1, B = 0, Y = 0
    - A = 1, B = 1, Y = 1

    Why other options are wrong:
    - Option A: XOR is incorrect because the output is 1 when the inputs are different, which is the opposite of the given truth table.
    - Option B: AND is incorrect because the output is 1 only when both inputs are 1.
    - Option C: XNOR is the correct answer.
    - Option D: OR is incorrect because the output is 1 when at least one input is 1.

    Key Concepts:
    - Logic gates (XOR, XNOR, AND, OR)
    - Truth tables

    Memory Aids:
    - XNOR: eXclusive NOR (same inputs give a 1)

    Quick Tips:
    - Memorize the truth tables for common logic gates.
4 Medium
Remembering +4 | -1
The average value of output direct current in a half wave rectifier is
View answer and explanation
Correct option: A
I0/π{I_0}/\pi
Option A (I0/π{I_0}/\pi) is correct because the average value of the output direct current in a half-wave rectifier is calculated by integrating the current over a full cycle and dividing by the period.
Solution approach
  1. Correct Answer + Core Reason: I0/π{I_0}/\pi. This is the average DC current in a half-wave rectifier.

    Step-by-Step Solution:

    Step 1: Define the output current of a half-wave rectifier. The output current is I(t)=I0sin⁡(ωt)I(t) = I_0 \sin(\omega t) for 0≤ωt≤π0 \le \omega t \le \pi and I(t)=0I(t) = 0 for π<ωt<2π\pi < \omega t < 2\pi.

    Step 2: Calculate the average DC current (IdcI_{dc}). Idc=1T∫0TI(t)dtI_{dc} = \frac{1}{T} \int_0^T I(t) dt, where T=2πωT = \frac{2\pi}{\omega}.

    Step 3: Substitute the expression for I(t)I(t) into the integral: Idc=ω2π∫0π/ωI0sin⁡(ωt)dtI_{dc} = \frac{\omega}{2\pi} \int_0^{\pi/\omega} I_0 \sin(\omega t) dt.

    Step 4: Evaluate the integral: Idc=ωI02π[−cos⁡(ωt)ω]0π/ω=I02π[−cos⁡(π)+cos⁡(0)]=I02π[1+1]=I0πI_{dc} = \frac{\omega I_0}{2\pi} \left[-\frac{\cos(\omega t)}{\omega}\right]_0^{\pi/\omega} = \frac{I_0}{2\pi} [-\cos(\pi) + \cos(0)] = \frac{I_0}{2\pi} [1 + 1] = \frac{I_0}{\pi}.

    Step 5: Final Answer: Idc=I0πI_{dc} = \frac{I_0}{\pi}.

    Why other options are wrong:
    - Option A: I0/π{I_0}/\pi is the correct average DC current.
    - Option B: I0/2{I_0}/2 is not the correct average DC current for a half-wave rectifier.
    - Option C: πI0/2\pi {I_0}/2 is not the correct average DC current for a half-wave rectifier.
    - Option D: 2I0/π2{I_0}/\pi is the average DC current for a full-wave rectifier, not a half-wave rectifier.

    Key Concepts:
    - Half-Wave Rectification
    - Average DC Current
    - Integration

    Memory Aids:
    - Remember the formula for average DC current in a half-wave rectifier: I0/πI_0/\pi.

    Quick Tips:
    - Understand the difference between half-wave and full-wave rectification.
5 Medium
Application +4 | -1
When the forward bias voltage of a diode is changed from 0.6 V to 0.7 V, the current changes from 5 mA to 15 mA. Then its forward bias resistance is
View answer and explanation
Correct option: C
10 Ω\mathrm{\Omega }
Option C (10 Ω\mathrm{\Omega }) is correct because the forward bias resistance is calculated using Ohm's law: R=ΔVΔIR = \frac{{\Delta V}}{{\Delta I}}.
Solution approach
  1. Correct Answer + Core Reason: 10 Ω\mathrm{\Omega }. The forward bias resistance is calculated using Ohm's law.

    Step-by-Step Solution:

    Step 1: Identify the given information: ΔV=0.7 V−0.6 V=0.1 V\Delta V = 0.7 \text{{ V}} - 0.6 \text{{ V}} = 0.1 \text{{ V}}, ΔI=15 mA−5 mA=10 mA=10×10−3 A\Delta I = 15 \text{{ mA}} - 5 \text{{ mA}} = 10 \text{{ mA}} = 10 \times 10^{-3} \text{{ A}}

    Step 2: Use the formula for resistance: R=ΔVΔIR = \frac{{\Delta V}}{{\Delta I}}

    Step 3: Substitute the values: R=0.1 V10×10−3 AR = \frac{{0.1 \text{{ V}}}}{{10 \times 10^{-3} \text{{ A}}}}

    Step 4: Calculate the resistance: R=0.10.01Ω=10ΩR = \frac{{0.1}}{{0.01}} \Omega = 10 \Omega

    Why other options are wrong:
    - **Option A (0.01 Ω\mathrm{\Omega }): Incorrect calculation or wrong formula used.
    -
    Option B (0.1 Ω\mathrm{\Omega }): Incorrect calculation or wrong formula used.
    -
    Option D (100 Ω\mathrm{\Omega }): Incorrect calculation or wrong formula used.

    Key Concepts:**
    - Ohm's Law: R=VIR = \frac{V}{I}

    Memory Aids:
    - Remember Ohm's Law.

    Quick Tips:
    - Always convert units to SI units before substituting into formulas.
6 Medium
Understanding +4 | -1
A pp-type material is electrically …….
View answer and explanation
Correct option: C
Neutral
A p-type material is neutral because the number of protons in the nuclei equals the number of electrons orbiting the nuclei.
Solution approach
  1. Correct Answer + Core Reason: Neutral. A p-type material is electrically neutral because the total positive charge equals the total negative charge.

    Step-by-Step Solution:

    Step 1: Understand the doping process in semiconductors.

    Step 2: Doping introduces impurities, but the overall charge remains balanced.

    Step 3: In a p-type material, trivalent impurities create "holes," but the number of protons and electrons remains equal.

    Step 4: Conclusion: The material is electrically neutral.

    Why other options are wrong:
    - Option A: The material is not positively charged overall.
    - Option B: The material is not negatively charged overall.
    - Option D: The concentration of impurities does not change the overall charge balance.

    Key Concepts:
    - Doping
    - p-type semiconductors
    - Charge neutrality

    Memory Aids:
    - Doping doesn't change the overall charge; it just creates more holes or electrons.

    Quick Tips:
    - Remember that semiconductors are neutral unless an external voltage is applied.
7 Medium
Analyzing +4 | -1
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R

Assertion A: Diffusion current in a p-n junction is greater than the drift current in magnitude if the junction is forward biased.

Reason R: Diffusion current in a p-n junction is form the n-side to the p-side if the junction is forward biased.

In the light of the above statements, choose the most appropriate answer from the options given below.
View answer and explanation
Correct option: B
A is correct but R is not correct
Option B is correct because Assertion A is correct: diffusion current is greater than drift current in forward bias. However, Reason R is incorrect: diffusion current is from p-side to n-side in forward bias.
Solution approach
  1. Correct Answer + Core Reason: A is correct but R is not correct. In forward bias, diffusion current dominates, and it flows from p to n side.

    Step-by-Step Solution:

    Step 1: Understand Diffusion Current: Diffusion current is due to the movement of charge carriers from a region of high concentration to a region of low concentration.

    Step 2: Understand Drift Current: Drift current is due to the movement of charge carriers under the influence of an electric field.

    Step 3: Analyze Forward Bias: In forward bias, the potential barrier is reduced, allowing more charge carriers to diffuse across the junction. Thus, diffusion current is greater than drift current.

    Step 4: Determine the direction of Diffusion Current: In a forward-biased p-n junction, diffusion current flows from the p-side to the n-side (holes from p to n, and electrons from n to p).

    Step 5: Evaluate Assertion A: Assertion A is correct because diffusion current is indeed greater than drift current in forward bias.

    Step 6: Evaluate Reason R: Reason R is incorrect because diffusion current flows from the p-side to the n-side, not the other way around.

    Why other options are wrong:
    - Option A: Reason R is not a correct explanation of A, and R itself is incorrect.
    - Option C: Assertion A is correct, so this option is incorrect.
    - Option D: Reason R is incorrect, so this option is incorrect.

    Key Concepts:
    - Diffusion current
    - Drift current
    - Forward bias in p-n junction

    Memory Aids:
    - Forward - Diffusion

    Quick Tips:
    - Remember the direction of diffusion current in forward and reverse bias.
8 Medium
Analyzing +4 | -1
Assertion: Silicon is preferred over germanium for making semiconductor devices.

Reason: The energy gap for germanium is more than the energy gap of silicon.
View answer and explanation
Correct option: C
Assertion is true but reason is false
Option C (Assertion is true but reason is false) is correct because silicon is preferred due to its wider temperature range and the energy gap of germanium is smaller than silicon.
Solution approach
  1. Correct Answer + Core Reason: Assertion is true but reason is false. Silicon is preferred due to its wider temperature range, and the energy gap of germanium is smaller than silicon.

    Step-by-Step Solution:

    Step 1: Analyze Assertion: Silicon is preferred over germanium for making semiconductor devices. This is true because silicon has a higher band gap, allowing it to operate at higher temperatures.

    Step 2: Analyze Reason: The energy gap for germanium is more than the energy gap of silicon. This is false. Germanium has a smaller energy gap than silicon.

    Step 3: Determine the correctness of the statements: Assertion is true, and Reason is false.

    Final Answer: Assertion is true but reason is false

    Why other options are wrong:
    - Option A: Reason is false.
    - Option B: Reason is false.
    - Option D: Assertion is true.

    Key Concepts:
    - Silicon
    - Germanium
    - Semiconductor devices
    - Energy gap

    Memory Aids:
    - Silicon is preferred over germanium.
    - Silicon has a larger band gap than germanium.

    Quick Tips:
    - Remember that silicon is the more commonly used semiconductor material.
9 Medium
Remembering +4 | -1
The temperature coefficient of resistance of a semiconductor
View answer and explanation
Correct option: B
Is always negative
Option B (Is always negative) is correct because the resistance of a semiconductor decreases as temperature increases, indicating a negative temperature coefficient.
Solution approach
  1. Correct Answer + Core Reason: Is always negative. The resistance of a semiconductor decreases with increasing temperature.

    Step-by-Step Solution:

    Step 1: Recall the behavior of semiconductors with temperature. As temperature increases, more electrons are excited to the conduction band, increasing conductivity and decreasing resistance.

    Step 2: Define the temperature coefficient of resistance. It describes how much the resistance of a material changes with temperature.

    Step 3: Since the resistance of a semiconductor decreases with increasing temperature, the temperature coefficient of resistance is negative.

    Why other options are wrong:
    - Option A (Is always positive): This is incorrect because the resistance decreases with temperature.
    - Option C (Is zero): This is incorrect because the resistance changes with temperature.
    - Option D (May be positive or negative or zero): This is incorrect because the temperature coefficient is always negative for semiconductors.

    Key Concepts:
    - Semiconductors
    - Temperature coefficient of resistance
    - Conductivity
    - Resistance

    Memory Aids:
    - Remember that semiconductors have a negative temperature coefficient of resistance.

    Quick Tips:
    - Understand the relationship between temperature and resistance in semiconductors.
10 Medium
Remembering +4 | -1
The electrical circuit used to get smooth DC output from a rectifier circuit is called
View answer and explanation
Correct option: A
Filter
Option A (Filter) is correct because a filter circuit is used to smooth the DC output from a rectifier.
Solution approach
  1. Correct Answer + Core Reason: Filter. A filter circuit is used to smooth the DC output from a rectifier.

    Step-by-Step Solution:

    Step 1: Define rectifier: A rectifier converts AC voltage to pulsating DC voltage.

    Step 2: Define filter: A filter circuit smooths out the pulsating DC voltage from a rectifier to produce a more stable DC output.

    Step 3: Explain the process: The filter circuit typically consists of capacitors and inductors that store and release energy to reduce voltage fluctuations.

    Final Answer: Filter

    Why other options are wrong:
    - Option B: An oscillator generates AC signals.
    - Option C: Logic gates are used for digital logic operations.
    - Option D: An amplifier increases the amplitude of a signal.

    Key Concepts:
    - Rectifier
    - Filter
    - DC output
    - Smoothing

    Memory Aids:
    - Filters smooth the DC output.

    Quick Tips:
    - Remember the function of a filter in a power supply circuit.
11 Medium
Application +4 | -1
In a silicon transistor, the base current is changed by 20μA20\mu A. This results in a change of 2 mA in the collector current. If the input resistance and load resistance of an amplifier are 1kΩ1k\Omega and 5kΩ5k\Omega respectively, what is the trans conductance of the transistor in SI units?
View answer and explanation
Correct option: B
0.10.1
Option B (0.1) is correct because transconductance is the change in collector current divided by the change in base current.
Solution approach
  1. Correct Answer + Core Reason: 0.1. Transconductance is the ratio of change in collector current to change in base current.

    Step-by-Step Solution:

    Step 1: Define transconductance (gmg_m). Transconductance is defined as the change in collector current (ΔIC\Delta I_C) divided by the change in base current (ΔIB\Delta I_B): gm=ΔICΔIBg_m = \frac{\Delta I_C}{\Delta I_B}

    Step 2: Convert the given values to SI units:
    - ΔIB=20μA=20×10−6A\Delta I_B = 20 \mu A = 20 \times 10^{-6} A
    - ΔIC=2mA=2×10−3A\Delta I_C = 2 mA = 2 \times 10^{-3} A

    Step 3: Calculate the transconductance:
    - gm=2×10−3A20×10−6A=220×103=0.1×103=100×10−3=0.1Sg_m = \frac{2 \times 10^{-3} A}{20 \times 10^{-6} A} = \frac{2}{20} \times 10^3 = 0.1 \times 10^3 = 100 \times 10^{-3} = 0.1 S

    Why other options are wrong:
    - Option A: 0.01 is incorrect. It might be a calculation error.
    - Option B: 0.1 is the correct answer.
    - Option C: 1.0 is incorrect. It might be a calculation error.
    - Option D: 10 is incorrect. It might be a calculation error.

    Key Concepts:
    - Transconductance
    - BJT parameters

    Memory Aids:
    - Remember the formula: gm=ΔICΔIBg_m = \frac{\Delta I_C}{\Delta I_B}

    Quick Tips:
    - Ensure that the units are consistent before performing calculations.
12 Medium
Understanding +4 | -1
Formation of covalent bonds in compounds exhibits
View answer and explanation
Correct option: A
Wave nature of electron
Option A (Wave nature of electron) is correct because covalent bonds are formed by the sharing of electrons, which is best explained by considering the wave nature of electrons and their ability to form standing waves between atoms.
Solution approach
  1. Correct Answer + Core Reason: Wave nature of electron. Covalent bonding is explained by electron wavefunctions.

    Step-by-Step Solution:

    Step 1: Define covalent bond. A covalent bond is a chemical bond formed by the sharing of electron pairs between atoms.

    Step 2: Explain the role of electron wave nature. The wave nature of electrons allows them to exist in a delocalized state between atoms, forming molecular orbitals.

    Step 3: Describe the formation of bonding orbitals. These molecular orbitals, particularly bonding orbitals, result in a lower energy state when electrons are shared, leading to bond formation.

    Why other options are wrong:
    - Option B: Particle nature of electron: While electrons have particle nature, it does not fully explain the sharing and delocalization involved in covalent bonding.
    - Option C: Both wave and particle nature of electron: While both aspects are true, the wave nature is the primary explanation for covalent bonding.
    - Option D: None of the above: The wave nature of the electron is the fundamental reason.

    Key Concepts:
    - Covalent bond
    - Wave-particle duality of electrons
    - Molecular orbitals
    - Quantum mechanics

    Memory Aids:
    - Covalent = Wave

    Quick Tips:
    - Remember that the wave nature of electrons is crucial for understanding chemical bonding.
13 Medium
Analyzing +4 | -1
Statement-I: The temperature coefficient of resistance is positive for metals and negative for semiconductors.

Statement-II: On raising the temperature, in metals drift velocity increases but in semiconductors more charge carriers are released.
View answer and explanation
Correct option: A
If both statements are correct.
Option A (If both statements are correct) is correct because metals have a positive temperature coefficient of resistance, while semiconductors have a negative one due to increased carrier concentration with temperature.
Solution approach
  1. Correct Answer + Core Reason: If both statements are correct. Metals have a positive temperature coefficient of resistance, while semiconductors have a negative one due to increased carrier concentration with temperature.

    Step-by-Step Solution:

    Step 1: Analyze Statement-I: The temperature coefficient of resistance is positive for metals and negative for semiconductors. This statement is correct.

    Step 2: Analyze Statement-II: On raising the temperature, in metals drift velocity decreases (due to increased collisions), but in semiconductors more charge carriers are released. This statement is also correct.

    Step 3: Determine the correctness of both statements: Both statements are correct.

    Final Answer: If both statements are correct.

    Why other options are wrong:
    - Option B: Statement II is also correct.
    - Option C: Statement I is also correct.
    - Option D: Both statements are correct.

    Key Concepts:
    - Temperature coefficient of resistance
    - Metals
    - Semiconductors
    - Drift velocity
    - Charge carriers

    Memory Aids:
    - Metals: Resistance increases with temperature.
    - Semiconductors: Resistance decreases with temperature.

    Quick Tips:
    - Remember the behavior of resistance with temperature for metals and semiconductors.
14 Medium
Understanding +4 | -1
Any digital circuit can be realised by repetitive use of only
View answer and explanation
Correct option: D
NOR gate
Option D (NOR gate) is correct because a NOR gate can be used to implement any other logic gate, making it a universal gate.
Solution approach
  1. Correct Answer + Core Reason: NOR gate. NOR gate is a universal gate.

    Step-by-Step Solution:

    Step 1: Understand the concept of a universal gate. A universal gate can implement any Boolean function without needing any other gate type.

    Step 2: Recall that NOR gates can be used to create NOT, AND, and OR gates.

    Step 3: NOT gate: Connect both inputs of the NOR gate together. The output is the complement of the input.

    Step 4: OR gate: Use a NOR gate followed by a NOT gate (created using another NOR gate as described above).

    Step 5: AND gate: Use a NOR gate to invert each input, then use another NOR gate on the inverted inputs. This implements the AND function.

    Why other options are wrong:
    - Option A: NOT gate is not a universal gate. It cannot implement AND or OR gates directly.
    - Option B: OR gate is not a universal gate. It cannot implement NOT or AND gates directly.
    - Option C: AND gate is not a universal gate. It cannot implement NOT or OR gates directly.
    - Option D: NOR gate is a universal gate.

    Key Concepts:
    - Universal gates (NOR, NAND)
    - Logic gate implementations
    - Boolean algebra

    Memory Aids:
    - Remember that NOR and NAND are the universal gates.

    Quick Tips:
    - To determine if a gate is universal, try to construct NOT, AND, and OR gates using only that gate.
15 Medium
Remembering +4 | -1
The phenomenon of thermionic emission was discovered by
View answer and explanation
Correct option: D
Thomas Edison
Option D (Thomas Edison) is correct because Thomas Edison discovered the phenomenon of thermionic emission.
Solution approach
  1. Correct Answer + Core Reason: Thomas Edison. He discovered thermionic emission.

    Step-by-Step Solution:

    Step 1: Thermionic emission is the phenomenon where electrons are emitted from a heated surface.

    Step 2: Thomas Edison observed this phenomenon while experimenting with incandescent light bulbs.

    Step 3: He noticed a current flowing between the heated filament and a nearby electrode inside the evacuated bulb.

    Step 4: This observation led to the discovery of thermionic emission.

    Why other options are wrong:
    - Option A: Marcoini is known for his work in radio communication.
    - Option B: Fleming is known for inventing the vacuum diode.
    - Option C: Forest is known for inventing the triode.

    Key Concepts:
    - Thermionic emission
    - Vacuum tubes

    Memory Aids:
    - Associate thermionic emission with Thomas Edison's work on light bulbs.

    Quick Tips:
    - Remember the key figures associated with the development of vacuum tubes.
16 Medium
Application +4 | -1
In a common emitter transistor amplifier β=60,  R0=5000Ω\mathrm{\beta } = 60,\;{R_0} = 5000\mathrm{\Omega } and internal resistance of a transistor is 500Ω500\mathrm{\Omega }. The voltage amplification of amplifier will be
View answer and explanation
Correct option: C
600
Option C (600) is correct because it is the voltage amplification calculated using the given parameters in a common emitter transistor amplifier.
Solution approach
  1. Correct Answer + Core Reason: 600. The voltage amplification is calculated using the formula Av=β×R0RiA_v = \beta \times \frac{{{R_0}}}{{{R_i}}}, where Ri{R_i} is the internal resistance of the transistor.

    Step-by-Step Solution:

    Step 1: Identify the given information: β=60\beta = 60, R0=5000Ω{R_0} = 5000 \Omega, and Ri=500Ω{R_i} = 500 \Omega.

    Step 2: Recall the formula for voltage amplification in a common emitter amplifier: Av=β×R0RiA_v = \beta \times \frac{{{R_0}}}{{{R_i}}}.

    Step 3: Substitute the values into the formula: Av=60×5000500A_v = 60 \times \frac{{5000}}{{500}}.

    Step 4: Calculate the voltage amplification: Av=60×10=600A_v = 60 \times 10 = 600.

    Step 5: Final Answer: Av=600A_v = 600.

    Why other options are wrong:
    - Option A (500): This is incorrect. It might arise from a calculation error or using an incorrect formula.
    - Option B (460): This is incorrect. It might arise from a calculation error or using an incorrect formula.
    - Option D (560): This is incorrect. It might arise from a calculation error or using an incorrect formula.
    - Option C (600): This is the correct value calculated using the correct formula and given values.

    Key Concepts:
    - Voltage amplification in a common emitter amplifier
    - Current gain (β\beta)
    - Output resistance (R0{R_0})
    - Input resistance (Ri{R_i})

    Memory Aids:
    - Remember the formula for voltage amplification: Av=β×R0RiA_v = \beta \times \frac{{{R_0}}}{{{R_i}}}.

    Quick Tips:
    - Ensure you are using the correct formula for voltage amplification.
    - Double-check your calculations to avoid errors.
17 Medium
Application +4 | -1
In a p-n junction, the depletion region is 400nm wide and an electric field of 5×105V/m5 \times {10^5}V/m exists in it. What should be the minimum kinetic energy of a conduction electron which can diffuse from the inside to the p-side?
View answer and explanation
Correct option: C
0.2 eV
Option C (0.2 eV) is correct because the minimum kinetic energy required is equal to the potential difference across the depletion region, which can be calculated as E=qV=qEdE = qV = qEd, where EE is the electric field and dd is the width of the depletion region.
Solution approach
  1. Correct Answer + Core Reason: 0.2 eV. This is calculated from the potential difference across the depletion region.

    Step-by-Step Solution:

    Step 1: Identify the given information: Depletion region width d=400 nm=400×10−9 md = 400 \text{{ nm}} = 400 \times 10^{-9} \text{{ m}}, electric field E=5×105 V/mE = 5 \times 10^5 \text{{ V/m}}.

    Step 2: Calculate the potential difference VV across the depletion region: V=Ed=(5×105 V/m)(400×10−9 m)=0.2 VV = Ed = (5 \times 10^5 \text{{ V/m}})(400 \times 10^{-9} \text{{ m}}) = 0.2 \text{{ V}}.

    Step 3: Calculate the minimum kinetic energy required for an electron to diffuse across the potential barrier: KE=qV=(1e)(0.2 V)=0.2 eVKE = qV = (1e)(0.2 \text{{ V}}) = 0.2 \text{{ eV}}, where qq is the elementary charge.

    Why other options are wrong:
    - Option A: 0.1eV: This is incorrect; it might be a calculation error.
    - Option B: 0.3 eV: This is incorrect; it might be a calculation error.
    - Option D: 0.4 eV: This is incorrect; it might be a calculation error, perhaps doubling the potential difference.

    Key Concepts:
    - p-n junction
    - Depletion region
    - Electric field
    - Potential difference
    - Kinetic energy

    Memory Aids:
    - V=EdV = Ed
    - KE=qVKE = qV

    Quick Tips:
    - Remember to convert units to be consistent before calculations.
18 Medium
Understanding +4 | -1
Avalanche breakdown of p-n junction diode is due to
View answer and explanation
Correct option: A
Collision of electrons with atoms
Option A (Collision of electrons with atoms) is correct because avalanche breakdown occurs when accelerated electrons gain enough kinetic energy to ionize atoms in the depletion region through collisions, creating more charge carriers.
Solution approach
  1. Correct Answer + Core Reason: Collision of electrons with atoms. This is the mechanism for avalanche breakdown.

    Step-by-Step Solution:

    Step 1: Define avalanche breakdown. Avalanche breakdown is a phenomenon in semiconductor diodes where a large reverse voltage causes a sudden increase in current.

    Step 2: Explain the mechanism. When a large reverse bias is applied, electrons gain kinetic energy as they move through the depletion region.

    Step 3: Describe the collision process. These high-energy electrons collide with atoms in the crystal lattice, ionizing them and creating electron-hole pairs.

    Step 4: Explain the chain reaction. The newly created electrons and holes are also accelerated, leading to further collisions and ionization, creating a chain reaction (avalanche).

    Why other options are wrong:
    - Option B: Forward biasing: Forward bias leads to conduction, not breakdown.
    - Option C: Field emission: Field emission is a different breakdown mechanism (Zener breakdown).
    - Option D: All of these: Only collision of electrons with atoms is the primary cause of avalanche breakdown.

    Key Concepts:
    - Avalanche breakdown
    - Reverse bias
    - Depletion region
    - Electron collision
    - Ionization

    Memory Aids:
    - Avalanche = Collision

    Quick Tips:
    - Remember that avalanche breakdown is caused by impact ionization.
19 Medium
Understanding +4 | -1
A piece of semiconductor is connected in series in an electric circuit. On increasing the temperature, the current in the circuit will
View answer and explanation
Correct option: C
Increase
Option C (Increase) is correct because increasing the temperature of a semiconductor increases the number of charge carriers, leading to increased current.
Solution approach
  1. Correct Answer + Core Reason: Increase. The current increases with temperature in a semiconductor.

    Step-by-Step Solution:

    Step 1: Define semiconductors. Semiconductors are materials with conductivity between that of metals and insulators.

    Step 2: Explain the effect of temperature on conductivity. In semiconductors, increasing the temperature increases the number of charge carriers (electrons and holes) due to increased thermal excitation.

    Step 3: Relate charge carrier concentration to current. An increase in charge carrier concentration leads to an increase in current.

    Step 4: Conclusion: On increasing the temperature, the current in the circuit will increase.

    Why other options are wrong:
    - Option A: The current increases, not decreases.
    - Option B: The current changes with temperature.
    - Option C: This is the correct answer. The current increases.
    - Option D: The current will not stop flowing; it will increase.

    Key Concepts:
    - Semiconductors
    - Electrical Conductivity
    - Temperature Dependence of Conductivity

    Memory Aids:
    - Heat increases the flow of electricity in semiconductors.

    Quick Tips:
    - Remember that the conductivity of semiconductors is temperature-dependent.
20 Medium
Remembering +4 | -1
At room temperature, a PP-type semiconductor has
View answer and explanation
Correct option: A
Large number of holes and few electrons
Option A (Large number of holes and few electrons) is correct because P-type semiconductors are doped with acceptor impurities, creating an excess of holes.
Solution approach
  1. Correct Answer + Core Reason: Large number of holes and few electrons. P-type semiconductors are doped with acceptor impurities, creating an excess of holes.

    Step-by-Step Solution:

    Step 1: Define a P-type semiconductor. It is a semiconductor doped with acceptor impurities, such as boron, which create an excess of holes.

    Step 2: Explain the charge carriers in a P-type semiconductor. Holes are the majority carriers, and electrons are the minority carriers.

    Step 3: Conclusion: At room temperature, a P-type semiconductor has a large number of holes and few electrons.

    Why other options are wrong:
    - Option B (Large number of free electrons and few holes): This describes an N-type semiconductor.
    - Option C (Equal number of free electrons and holes): This describes an intrinsic semiconductor.
    - Option D (No electrons or holes): This is incorrect; semiconductors always have some charge carriers.

    Key Concepts:
    - P-type semiconductor
    - Acceptor impurities
    - Holes
    - Electrons

    Memory Aids:
    - Remember that P-type semiconductors have a "p"ositive majority carrier (holes).

    Quick Tips:
    - Understand the difference between P-type and N-type semiconductors.
21 Medium
Analyzing +4 | -1
A⋅Bˉ+Aˉ⋅B‾\overline{A \cdot \bar{B}+\bar{A} \cdot B} is equivalent to
View answer and explanation
Correct option: B
(A+Bˉ)+(Aˉ+B)(A+\bar{B})+(\bar{A}+B)
Option B, (A+Bˉ)+(Aˉ+B)(A+\bar{B})+(\bar{A}+B), is correct because it represents the complement of the XOR operation, which is equivalent to the given expression.
Solution approach
  1. Correct Answer + Core Reason: (A+Bˉ)+(Aˉ+B)(A+\bar{B})+(\bar{A}+B). This represents the complement of the XOR operation.

    Step-by-Step Solution:

    Step 1: Recognize the given expression as the complement of the XOR operation: A⋅Bˉ+Aˉ⋅B‾=A⊕B‾\overline{A \cdot \bar{B} + \bar{A} \cdot B} = \overline{A \oplus B}.

    Step 2: Apply DeMorgan's Law and Boolean algebra to simplify the expression. We know that A⊕B=A⋅Bˉ+Aˉ⋅BA \oplus B = A \cdot \bar{B} + \bar{A} \cdot B. Therefore, A⊕B‾=A⋅Bˉ+Aˉ⋅B‾\overline{A \oplus B} = \overline{A \cdot \bar{B} + \bar{A} \cdot B}.

    Step 3: The complement of XOR can also be written as XNOR, which is (A⋅B)+(Aˉ⋅Bˉ)(A \cdot B) + (\bar{A} \cdot \bar{B}).

    Step 4: Using DeMorgan's Law, we can express the complement of XOR as (A+Bˉ)⋅(Aˉ+B)(A + \bar{B}) \cdot (\bar{A} + B). This is equivalent to the given option B.

    Step 5: Note that (A+Bˉ)+(Aˉ+B)(A + \bar{B}) + (\bar{A} + B) is always true (equal to 1) since either A or its complement must be true, and either B or its complement must be true.

    Why other options are wrong:
    - Option A: A⋅Bˉ+Aˉ⋅BA \cdot \bar{B} + \bar{A} \cdot B is the XOR operation, not the complement of XOR.
    - Option C: A⋅Bˉ+Aˉ⋅B‾\overline{A \cdot \bar{B} + \bar{A} \cdot B} is the same as the original expression, not an equivalent simplified form.
    - Option D: (A+B)⋅(Aˉ+B)(A+B) \cdot(\bar{A}+B) simplifies to BB, which is not equivalent to the given expression.

    Key Concepts:
    - Boolean Algebra
    - XOR and XNOR operations
    - DeMorgan's Law
    - Complement of a Boolean expression

    Memory Aids:
    - XOR: Different is True
    - XNOR: Same is True

    Quick Tips:
    - Recognize common Boolean expressions like XOR and XNOR.
    - Apply DeMorgan's Law to simplify complex expressions.
22 Medium
Analyzing +4 | -1
A semi conductor has an electron concentration of 8×10138 \times 10^{13} per cm3\mathrm{cm}^3 and a hole concentration of 5×10125 \times 10^{12} per cm3\mathrm{cm}^3. The electron mobility is 25000 cm2 V−1 s−125000 \mathrm{~cm}^2 \mathrm{~V}^{-1} \mathrm{~s}^{-1} and the hole mobility is 100 cm2 V−1 s−1100 \mathrm{~cm}^2 \mathrm{~V}^{-1} \mathrm{~s}^{-1}. Then,
View answer and explanation
Correct option: A
The semiconductor is n-type.
Option A (The semiconductor is n-type) is correct because the electron concentration is significantly higher than the hole concentration.
Solution approach
  1. Correct Answer + Core Reason: The semiconductor is n-type. The electron concentration is significantly higher than the hole concentration.

    Step-by-Step Solution:

    Step 1: Compare electron and hole concentrations: ne=8×1013per  cm3{n_e} = 8 \times {10^{13}} per \; cm^3 and nh=5×1012per  cm3{n_h} = 5 \times {10^{12}} per \; cm^3

    Step 2: Determine the type of semiconductor: Since ne>nh{n_e} > {n_h}, the semiconductor is n-type.

    Step 3: Calculate the conductivity: σ=e(neμe+nhμh)\sigma = e({n_e}{\mu _e} + {n_h}{\mu _h}), where e=1.6×10−19Ce = 1.6 \times {10^{ - 19}} C, μe=25000cm2V−1s−1{\mu _e} = 25000 cm^2 V^{-1} s^{-1}, and μh=100cm2V−1s−1{\mu _h} = 100 cm^2 V^{-1} s^{-1}

    Step 4: Substitute the values: σ=1.6×10−19[(8×1013×25000)+(5×1012×100)]\sigma = 1.6 \times {10^{ - 19}}[(8 \times {10^{13}} \times 25000) + (5 \times {10^{12}} \times 100)]

    Step 5: Calculate the conductivity: σ=1.6×10−19[(2×1018)+(5×1014)]≈1.6×10−19(2×1018)=3.2×10−1mho/cm=320×10−3mho/cm=320mmho/cm\sigma = 1.6 \times {10^{ - 19}}[(2 \times {10^{18}}) + (5 \times {10^{14}})] \approx 1.6 \times {10^{ - 19}}(2 \times {10^{18}}) = 3.2 \times {10^{ - 1}} mho/cm = 320 \times {10^{ - 3}} mho/cm = 320 m mho/cm

    Final Answer: The semiconductor is n-type.

    Why other options are wrong:
    - Option B: The conductivity calculation is correct, but the question only asks for one correct answer, and option A is the primary correct answer.
    - Option C: Option B is not the primary correct answer.
    - Option D: Option A is correct.

    Key Concepts:
    - n-type semiconductor
    - p-type semiconductor
    - Conductivity of a semiconductor

    Memory Aids:
    - If ne>nh{n_e} > {n_h}, it's n-type.
    - If nh>ne{n_h} > {n_e}, it's p-type.

    Quick Tips:
    - Compare the electron and hole concentrations to determine the type of semiconductor.
23 Medium
Application +4 | -1
In a common emitter amplifier, using output resistance of 5000  Ω5000\;\mathrm{\Omega } and input resistance of 2000  Ω2000\;\mathrm{\Omega }, if the peak value of input signal voltage is 10 mV and β=50\mathrm{\beta } = 50, then peak value of output voltage is
View answer and explanation
Correct option: C
1.25 V
Option C (1.25 V) is correct because it is the calculated peak value of the output voltage using the given parameters in a common emitter amplifier.
Solution approach
  1. Correct Answer + Core Reason: 1.25 V. The peak value of the output voltage is calculated using the formula Vo=β×RoRi×ViV_o = \beta \times \frac{{{R_o}}}{{{R_i}}} \times V_i.

    Step-by-Step Solution:

    Step 1: Identify the given information: Output resistance, Ro=5000Ω{R_o} = 5000 \Omega; Input resistance, Ri=2000Ω{R_i} = 2000 \Omega; Input voltage, Vi=10 mV=0.01 VV_i = 10 \text{{ mV}} = 0.01 \text{{ V}}; Current gain, β=50\beta = 50.

    Step 2: Recall the formula for the output voltage: Vo=β×RoRi×ViV_o = \beta \times \frac{{{R_o}}}{{{R_i}}} \times V_i.

    Step 3: Substitute the values into the formula: Vo=50×50002000×0.01V_o = 50 \times \frac{{5000}}{{2000}} \times 0.01.

    Step 4: Calculate the output voltage: Vo=50×2.5×0.01=1.25 VV_o = 50 \times 2.5 \times 0.01 = 1.25 \text{{ V}}.

    Step 5: Final Answer: Vo=1.25 VV_o = 1.25 \text{{ V}}.

    Why other options are wrong:
    - **Option A (5×10−6  V5 \times {10^{ - 6}}\mathrm{\;V}): This is incorrect. It might arise from a calculation error or using an incorrect formula.
    -
    Option B (12.50×10−6  V12.50 \times {10^{ - 6}}\mathrm{\;V}): This is incorrect. It might arise from a calculation error or using an incorrect formula.
    -
    Option D (125.0 V): This is incorrect. It might arise from a calculation error or using an incorrect formula.
    -
    Option C (1.25 V): This is the correct value calculated using the correct formula and given values.

    Key Concepts:**
    - Common emitter amplifier
    - Output voltage
    - Input voltage
    - Current gain (β\beta)
    - Output resistance (Ro{R_o})
    - Input resistance (Ri{R_i})

    Memory Aids:
    - Remember the formula for output voltage: Vo=β×RoRi×ViV_o = \beta \times \frac{{{R_o}}}{{{R_i}}} \times V_i.

    Quick Tips:
    - Ensure you are using the correct formula for output voltage.
    - Double-check your calculations to avoid errors.
    - Pay attention to units (mV to V).
24 Medium
Analyzing +4 | -1
A working transistor with its three legs marked P,QP,Q and RR is tested using a multimeter. No conduction is found between PP and QQ. By connecting the common (negative) terminal of the multimeter to RR and the other (positive) terminal to PP or QQ, some resistance is seen on the multimeter. Which of the following is true for the transistor?
View answer and explanation
Correct option: A
It is an n−p−nn - p - n transistor with RR as base
Option A (It is an n−p−nn - p - n transistor with RR as base) is correct because the multimeter shows conduction when the negative terminal is connected to R and the positive terminal to P or Q, indicating that R is the base of an NPN transistor.
Solution approach
  1. Correct Answer + Core Reason: It is an n−p−nn - p - n transistor with RR as base. The multimeter readings indicate that R is the base of an NPN transistor.

    Step-by-Step Solution:

    Step 1: Analyze the given information.
    - No conduction between P and Q.
    - Conduction between R and P when R is connected to the negative terminal of the multimeter.
    - Conduction between R and Q when R is connected to the negative terminal of the multimeter.

    Step 2: Consider the properties of NPN and PNP transistors.
    - In an NPN transistor, the base is P-type, and the collector and emitter are N-type. The diode between the base and the emitter/collector is forward biased when the base is positive relative to the emitter/collector.
    - In a PNP transistor, the base is N-type, and the collector and emitter are P-type. The diode between the base and the emitter/collector is forward biased when the base is negative relative to the emitter/collector.

    Step 3: Determine the transistor type.
    - Since the multimeter shows conduction when the negative terminal is connected to R, it means that the diode between R and P/Q is forward biased when R is negative. This indicates that R is the base of an NPN transistor.

    Why other options are wrong:
    - Option A: It is an n−p−nn - p - n transistor with RR as base is the correct answer.
    - Option B: It is an p−n−pp - n - p transistor with RR as collector is incorrect. If R were the collector of a PNP transistor, we would expect conduction when the positive terminal is connected to R.
    - Option C: It is an p−n−pp - n - p transistor with RR as emitter is incorrect. If R were the emitter of a PNP transistor, we would expect conduction when the positive terminal is connected to R.
    - Option D: It is an n−p−nn - p - n transistor with RR as collector is incorrect. If R were the collector of an NPN transistor, we would not expect conduction when the negative terminal is connected to R.

    Key Concepts:
    - NPN and PNP transistors
    - Transistor testing with a multimeter
    - Diode properties

    Memory Aids:
    - Remember that in an NPN transistor, the base is P-type, and in a PNP transistor, the base is N-type.

    Quick Tips:
    - Use a multimeter to test the diodes between the transistor legs to determine the transistor type and identify the base.
25 Medium
Analyzing +4 | -1
The Boolean equation x=[(A+B‾)⋅(B+C)]⋅B\mathrm{x}=[(\mathrm{A}+\overline{\mathrm{B}}) \cdot(\mathrm{B}+\mathrm{C})] \cdot \mathrm{B} can be simplified to
View answer and explanation
Correct option: C
x=A⋅B\mathrm{x}=\mathrm{A} \cdot \mathrm{B}
Option C, x=A⋅B, is correct because simplifying the Boolean equation using Boolean algebra results in this expression.
Solution approach
  1. Correct Answer + Core Reason: x=A⋅B. Simplifying the Boolean equation using Boolean algebra results in this expression.

    Step-by-Step Solution:

    Step 1: Write down the given Boolean equation: x=[(A+Bˉ)⋅(B+C)]⋅Bx = [(A + \bar{B}) \cdot (B + C)] \cdot B.

    Step 2: Distribute B into the second term: x=(A+Bˉ)⋅(B⋅B+C⋅B)x = (A + \bar{B}) \cdot (B \cdot B + C \cdot B).

    Step 3: Simplify B⋅BB \cdot B to BB: x=(A+Bˉ)⋅(B+C⋅B)x = (A + \bar{B}) \cdot (B + C \cdot B).

    Step 4: Simplify B+C⋅BB + C \cdot B to BB (Absorption Law: X+XY=XX + XY = X): x=(A+Bˉ)⋅Bx = (A + \bar{B}) \cdot B.

    Step 5: Distribute B into the first term: x=A⋅B+Bˉ⋅Bx = A \cdot B + \bar{B} \cdot B.

    Step 6: Simplify Bˉ⋅B\bar{B} \cdot B to 0: x=A⋅B+0x = A \cdot B + 0.

    Step 7: Simplify A⋅B+0A \cdot B + 0 to A⋅BA \cdot B: x=A⋅Bx = A \cdot B.

    Why other options are wrong:
    - Option A: Aˉ⋅B\bar{A} \cdot B is incorrect. The simplification does not lead to this expression.
    - Option B: A⋅BˉA \cdot \bar{B} is incorrect. The simplification does not lead to this expression.
    - Option D: Aˉ⋅Bˉ\bar{A} \cdot \bar{B} is incorrect. The simplification does not lead to this expression.

    Key Concepts:
    - Boolean Algebra
    - Distributive Law
    - Absorption Law: X+XY=XX + XY = X
    - Complement Law: X⋅Xˉ=0X \cdot \bar{X} = 0
    - Identity Law: X+0=XX + 0 = X

    Memory Aids:
    - Remember the basic Boolean algebra laws.

    Quick Tips:
    - Simplify Boolean expressions step by step, applying the relevant laws at each step.
    - Look for opportunities to apply the Absorption Law.
26 Medium
Remembering +4 | -1
Bonding in a germanium crystal (semi-conductor) is
View answer and explanation
Correct option: D
Covalent
Option D (Covalent) is correct because germanium, being a semiconductor, forms covalent bonds with its neighboring atoms.
Solution approach
  1. Correct Answer + Core Reason: Covalent. Germanium forms covalent bonds.

    Step-by-Step Solution:

    Step 1: Germanium is a group IV element with four valence electrons.

    Step 2: To achieve stability, each germanium atom shares its four valence electrons with four neighboring germanium atoms, forming covalent bonds.

    Step 3: This covalent bonding creates a strong, three-dimensional network structure, which is characteristic of semiconductors like germanium and silicon.

    Why other options are wrong:
    - Option A: Metallic bonding is found in metals, where electrons are delocalized.
    - Option B: Ionic bonding involves the transfer of electrons between atoms, forming ions. This is not the primary type of bonding in germanium.
    - Option C: Van der Waals forces are weak intermolecular forces and are not the primary type of bonding in germanium crystals.

    Key Concepts:
    - Covalent bonding
    - Semiconductors
    - Germanium
    - Crystal structure

    Memory Aids:
    - Remember that semiconductors like germanium and silicon form covalent bonds.

    Quick Tips:
    - Know the type of bonding found in different types of materials (metals, semiconductors, ionic compounds).
27 Medium
Analyzing +4 | -1
An AND gate can be prepared by repetitive use of
(a) NOT gate         \,\,\,\,\,\,\,\, (b) OR gate         \,\,\,\,\,\,\,\, (c) NAND gate         \,\,\,\,\,\,\,\, (d) NOR gate
View answer and explanation
Correct option: B
Only (a) and (b) are correct
Option A (Only (a) and (b) are correct) is correct because an AND gate can be created using a combination of NOT and OR gates.
Solution approach
  1. Correct Answer + Core Reason: Only (a) and (b) are correct. An AND gate can be constructed using NOT and OR gates.

    Step-by-Step Solution:

    Step 1: Consider the De Morgan's theorem: A⋅B‾=A‾+B‾\overline{A \cdot B} = \overline{A} + \overline{B}.

    Step 2: Apply NOT gate to the output of OR gate: A‾+B‾‾=A⋅B\overline{\overline{A} + \overline{B}} = A \cdot B.

    Step 3: This shows that an AND gate can be created using NOT and OR gates.

    Step 4: NAND and NOR gates are universal gates. They can be used to implement any logic gate, including AND gate. However, the question asks about repetitive use of individual gates.

    Step 5: Conclude that AND gate can be prepared by repetitive use of NOT and OR gates.

    Why other options are wrong:
    - Option B (Only (a) and (b) are correct): This is the correct option.
    - Option C (Only (a), (b) and (c) correct): NAND gate can implement AND gate, but not by repetitive use of NAND gate alone.
    - Option D (All are correct): NAND and NOR gates can implement AND gate, but not by repetitive use of NAND or NOR gate alone.

    Key Concepts:
    - AND gate
    - OR gate
    - NOT gate
    - NAND gate
    - NOR gate
    - De Morgan's theorem

    Memory Aids:
    - Remember De Morgan's theorem.

    Quick Tips:
    - Understand how different logic gates can be combined to create other gates.
28 Medium
Understanding +4 | -1
For which of the following the resistance decreases on increasing the temperature
View answer and explanation
Correct option: C
Germanium
Germanium is correct because it is a semiconductor, and its resistance decreases with increasing temperature due to increased carrier concentration.
Solution approach
  1. Correct Answer + Core Reason: Germanium. Germanium is a semiconductor, and its resistance decreases with increasing temperature.

    Step-by-Step Solution:

    Step 1: Recall the temperature dependence of resistance for different materials.

    Step 2: For metals (Copper, Tungsten, Aluminum), resistance increases with temperature.

    Step 3: For semiconductors (Germanium), resistance decreases with temperature.

    Step 4: This is because increasing temperature increases the number of charge carriers in semiconductors.

    Step 5: Conclusion: Germanium's resistance decreases with increasing temperature.

    Why other options are wrong:
    - Option A: Copper is a metal; its resistance increases with temperature.
    - Option B: Tungsten is a metal; its resistance increases with temperature.
    - Option D: Aluminum is a metal; its resistance increases with temperature.

    Key Concepts:
    - Temperature dependence of resistance
    - Metals vs. Semiconductors
    - Charge carrier concentration

    Memory Aids:
    - Metals: Higher temp, higher resistance.
    - Semiconductors: Higher temp, lower resistance.

    Quick Tips:
    - Differentiate between metals and semiconductors when considering temperature dependence of resistance.
29 Medium
Understanding +4 | -1
The value of (1β−1α)\left( {\frac{1}{\beta } - \frac{1}{\alpha }} \right) is equal to :- (α\alpha and β\beta are current gain in CB &amp; CE configuration).
View answer and explanation
Correct option: D
-1
Option D (-1) is correct because the relationship between alpha and beta in transistor configurations leads to this result.
Solution approach
  1. Correct Answer + Core Reason: -1. The relationship between α and β leads to this result.

    Step-by-Step Solution:

    Step 1: Recall the relationship between α (current gain in CB configuration) and β (current gain in CE configuration): β=α1−α\beta = \frac{\alpha}{{1 - \alpha}}

    Step 2: Rearrange the equation to express α in terms of β: α=β1+β\alpha = \frac{\beta}{{1 + \beta}}

    Step 3: Calculate 1β−1α\frac{1}{\beta} - \frac{1}{\alpha}: 1β−1α=1β−1+ββ=1−(1+β)β=−ββ=−1\frac{1}{\beta} - \frac{1}{\alpha} = \frac{1}{\beta} - \frac{{1 + \beta}}{{\beta}} = \frac{{1 - (1 + \beta)}}{{\beta}} = \frac{{ - \beta}}{{\beta}} = -1

    Why other options are wrong:
    - Option A: αβ is incorrect because it doesn't follow from the correct relationship between α and β.
    - Option B: α - β is incorrect because it doesn't follow from the correct relationship between α and β.
    - Option C: 1 is incorrect because the correct calculation yields -1.
    - Option D: -1 is the correct answer.

    Key Concepts:
    - Transistor current gains (α, β)
    - CB and CE configurations
    - Relationship between α and β

    Memory Aids:
    - Remember the formula: β=α1−α\beta = \frac{\alpha}{{1 - \alpha}}

    Quick Tips:
    - Always remember the relationship between α and β when solving transistor-related problems.
30 Medium
Analyzing +4 | -1
Statement-I: The dominant mechanism for motion of charge carriers in forward and reverse biased silicon P−N\mathrm{P}-\mathrm{N} junction are drift in both forward and reverse bias.

Statement-II: In reverse biasing, no current flow through the junction.
View answer and explanation
Correct option: D
If both statements are incorrect.
Option D is correct because both statements are incorrect. The dominant mechanism is diffusion in forward bias and drift in reverse bias. Also, a small current flows in reverse bias due to minority carriers.
Solution approach
  1. Correct Answer + Core Reason: If both statements are incorrect. The dominant mechanism is diffusion in forward bias and drift in reverse bias. Also, a small current flows in reverse bias.

    Step-by-Step Solution:

    Step 1: Understand Forward Bias: In forward bias, the potential barrier is reduced, and the dominant mechanism for charge carrier motion is diffusion.

    Step 2: Understand Reverse Bias: In reverse bias, the potential barrier is increased, and the dominant mechanism for charge carrier motion is drift (due to minority carriers).

    Step 3: Analyze Statement-I: Statement-I is incorrect because the dominant mechanisms are different for forward and reverse bias.

    Step 4: Analyze Statement-II: Statement-II is incorrect because a small reverse saturation current flows due to minority carriers.

    Why other options are wrong:
    - Option A: Both statements are not correct.
    - Option B: Statement-I is not correct, and statement II is also not correct.
    - Option C: Statement-I is not incorrect, and statement II is not correct.

    Key Concepts:
    - Diffusion current
    - Drift current
    - Forward and reverse bias in p-n junction

    Memory Aids:
    - Forward - Diffusion, Reverse - Drift

    Quick Tips:
    - Remember the dominant mechanisms in forward and reverse bias.
Revision notes and key takeaways

Review SEMI CONDUCTOR DEVICES in your textbook or class notes, then use this set to check your understanding.

Key Takeaways

  • ✓ This set contains 85 single-correct-answer MCQs on SEMI CONDUCTOR DEVICES.
  • ✓ Try each question before opening its answer. Read the explanation where one is available.
  • ✓ Sign in to save submitted answers. Revisit incorrect answers alongside your textbook or class notes.
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