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NEET • PHYSICS • CURRENT ELECTRICITY

Current electricity practice · Easy

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1 Easy

1 of 34

Application +4 | -1

The e.m.f. of a cell is 6 volt. When 2 ampere current is drawn from it then the potential difference across its terminals remains 3 volt. Its internal resistance wil be:

View answer and explanation

Correct option: A

1.5 \Omega

Option A (

1.5 \Omega

) is correct because the internal resistance can be calculated using the formula r = (E-V)/I.

2 Easy

2 of 34

Application +4 | -1

The emf of a battery A is balanced by a length of 80 cm on a potentiometer wire. The emf of a standard cell 1 V is balanced by 50 cm. The emf of A is

View answer and explanation

Correct option: D

1.6 V

Option D (1.6 V) is correct because the emf is directly proportional to the balancing length in a potentiometer experiment.

3 Easy

3 of 34

Application +4 | -1

When a current

I

is set up in a wire of radius

r

, the drift velocity is

\mathrm{v}_{\mathrm{d}}

. If the same current is set up through a wire of radius

2 \mathrm{r}

, the drift velocity will be

View answer and explanation

Correct option: D

\mathrm{v}_{\mathrm{d}} / 4

Option D (

\mathrm{v}_{\mathrm{d}} / 4

) is correct because the drift velocity is inversely proportional to the cross-sectional area of the wire, which is proportional to the square of the radius.

4 Easy

4 of 34

Application +4 | -1

The radius

(r)

, length

(l)

and resistance

(R)

of a metal wire was measured in the laboratory as

r=(0.35 \pm 0.05) \mathrm{cm}

R=(100 \pm 10) \mathrm{ohm}

l=(15 \pm 0.2) \mathrm{cm}

The percentage error in resistivity of the material of the wire is:

View answer and explanation

Correct option: B

39.9 \%

Option B (

39.9 \%

) is correct because it is the percentage error in resistivity calculated using the given errors in radius, length, and resistance.

5 Easy

5 of 34

Understanding +4 | -1

A piece of copper and the other of germanium are cooled from the room temperature to

80 \mathrm{~K}

, then which of the following would be wrong statements?
(a) Resistance of each increases
(b) Resistance of each decreases
(c) Resistance of copper increases while that of germanium decreases
(d) Resistance of copper decreases while that of germanium increases

View answer and explanation

Correct option: A

(a), (b) and (c)

Option A ((a), (b) and (c)) is correct because the resistance of copper decreases with decreasing temperature, while the resistance of germanium increases with decreasing temperature. Therefore, (a), (b), and (c) are wrong statements.

6 Easy

6 of 34

Application +4 | -1

The number of electrons flowing per second in the filament of a

110 \mathrm{~W}

bulb operating at

220 \mathrm{~V}

is :

(Given

\mathrm{e}=1.6 \times 10^{-19} \mathrm{C}

)

View answer and explanation

Correct option: A

31.25 \times 10^{17}

Option A (

31.25 \times 10^{17}

) is correct because it is calculated by dividing the power by the voltage to find the current, then dividing the current by the elementary charge to find the number of electrons per second.

7 Easy

7 of 34

Understanding +4 | -1

Statement-1: Current flows in a conductor only when there is an electric field within the conductor.
Statement-2: The drift velocity of electrons in the presence of electric field decreases.

View answer and explanation

Correct option: C

Statement-1 is true, Statement-2 is false

Option C is correct because current flow requires an electric field, but drift velocity increases with the electric field, not decreases.

8 Easy

8 of 34

Understanding +4 | -1

Statement-1: Two unequal resistances are connected in series across a cell, then potential drop across the larger resistance is more.
Statement-2: The current will be same in both unequal resistances.

View answer and explanation

Correct option: A

Statement-1 is true, Statement-2 is true, Statement-2 is the correct explanation for Statement-1

Option A (Statement-1 is true, Statement-2 is true, Statement-2 is the correct explanation for Statement-1) is correct because in a series circuit, the current is the same through all resistors, and the potential drop is proportional to the resistance.

9 Easy

9 of 34

Analyzing +4 | -1

If 12 resistors of

12\, \Omega

each are connected in each edge of a cubical circuit then effective resistance across any of its edge is :-

View answer and explanation

Correct option: C

7\, \Omega

The correct answer is C (

7 \, \Omega

). The effective resistance across an edge of a cube with resistors on each edge can be calculated using symmetry and Kirchhoff's laws.

10 Easy

10 of 34

Application +4 | -1

A potentiometer consist of a wire of length 2m and resistance . It is connected to an ideal cell of e.m.f 4V. The potential difference per unit length of the wire will be

View answer and explanation

Correct option: D

2 V/m

Option D (2 V/m) is correct because the potential difference per unit length is the total potential difference divided by the length of the wire.

11 Easy

11 of 34

Application +4 | -1

An electron beam has an aperture

1.0 \mathrm{~mm}^2

. A total of

6 \times 10^{16}

electrons go through any perpendicular cross section per second. Find the current density in the beam. (in

\mathrm{A} / \mathrm{m}^2

)

View answer and explanation

Correct option: B

9.6 \times 10^3

Option B (

9.6 \times 10^3 \mathrm{A} / \mathrm{m}^2

) is correct because it is calculated by dividing the total current by the area of the aperture.

12 Easy

12 of 34

Application +4 | -1

A direct current of

4 \mathrm{~A}

and an alternating current of peak value 4 A flow through resistance of

3 \Omega

and

2 \Omega

respectively. The ratio of heat produced in the two resistances in same interval of time will be :

View answer and explanation

Correct option: B

3: 1

Option B (

3: 1

) is correct because the heat produced is proportional to the square of the current, and the RMS value of the AC current is used for heat calculations.

13 Easy

13 of 34

Remembering +4 | -1

The Kirchhoff's second law

(\Sigma i R=\Sigma E),

where the symbols have their usual meanings, is based on

View answer and explanation

Correct option: D

conservation of energy

Option D is correct because Kirchhoff's second law is based on the conservation of energy, stating that the sum of potential differences around a closed loop is zero.

14 Easy

14 of 34

Analyzing +4 | -1

Statement-1: Potential difference across the terminals of a battery can be greater than its emf.
Statement-2: When current is taken from battery,

V={\varepsilon}- Ir

(Symbols have their usual meaning).

View answer and explanation

Correct option: B

Statement-1 is true, Statement-2 is true, Statement-2 is not the correct explanation for Statement-1

Option B (Statement-1 is true, Statement-2 is true, Statement-2 is not the correct explanation for Statement-1) is correct because the potential difference can be greater than the emf when the battery is being charged, and Statement-2 describes the voltage when the battery is discharging.

15 Easy

15 of 34

Application +4 | -1

The colour code of a resistor is brown, black and brown. Then the value of resistance is

View answer and explanation

Correct option: C

0.1 \,{k} \Omega

Option C (0.1 kΩ) is correct because the color code brown, black, brown corresponds to 1, 0, and a multiplier of 10¹, resulting in 10 × 10¹ = 100 ohms = 0.1 kΩ.

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16 Easy

16 of 34

Application +4 | -1

A technician has only two resistance coils. By using
them singly in series or in parallel, he is able to obtain
the resistance 1.5, 2, 6 and 8 ohms. The resistance
of two coils are

View answer and explanation

Correct option: C

2 ohm and 6 ohm

Option C (2 ohm and 6 ohm) is correct because these values satisfy the given conditions for series and parallel combinations.

17 Easy

17 of 34

Understanding +4 | -1

Statement-1: Two unequal resistances are connected in parallel across a cell, then current through the smaller resistor is more.
Statement-2: More current will flow through a larger resistor.

View answer and explanation

Correct option: C

Statement-1 is true, Statement-2 is false

Option C (Statement-1 is true, Statement-2 is false) is correct because in a parallel circuit, the voltage is the same across all resistors, and the current is inversely proportional to the resistance.

18 Easy

18 of 34

Application +4 | -1

A block of metal is heated directly by dissipating power in the internal resistance of block. Because of temperature rise, the resistance increases exponentially with time and is given by

\mathrm{R}(\mathrm{t})=0.5 \, \mathrm{e}^{2 \mathrm{t}}

, where

\mathrm{t}

is in second. The block is connected across a

110 \mathrm{~V}

source and dissipates

7644 \mathrm{~J}

heat energy over a certain period of time. This period of time is ______

\times 10^{-1}

sec.

View answer and explanation

Correct option: A

Option A (5) is correct. The heat energy dissipated is given by the integral of power over time. Solving the integral yields a time of 0.5 seconds, which is 5 × 10^-1 seconds.

19 Easy

19 of 34

Application +4 | -1

Two heaters

A

and

B

have power rating of

1 \mathrm{~kW}

and

2 \mathrm{~kW},

respectively. Those two are first connected in series and then in parallel to a fixed power source. The ratio of power outputs for these two cases is:

View answer and explanation

Correct option: A

2: 9

Option A (2:9) is correct because the ratio of power outputs in series and parallel configurations depends on the resistances, which are inversely proportional to the power ratings given a fixed voltage.

20 Easy

20 of 34

Application +4 | -1

If negligibly small current is passed though a wire of length

15 \mathrm{~m}

and resistance of

5 \Omega

, having uniform cross section of

6 \times 10^{-7} \mathrm{~m}^2

, then coefficient of resistivity of material is

View answer and explanation

Correct option: B

2 \times 10^{-7} \Omega-\mathrm{m}

Option B (

2 \times 10^{-7} \Omega-\mathrm{m}

) is correct because it is calculated using the formula for resistivity:

R = \rho \frac{L}{A}

21 Easy

21 of 34

Application +4 | -1

A current of

10 \mathrm{~amp}

is passing through a metallic wire of cross sectional area

4 \times 10^{-6} \mathrm{~m}^2

. If the density of the aluminum conductor is

2.7 \,\mathrm{gm/cc}

considering aluminum gives 1 electrons per atom for conduction find the drift speed of the electrons if molecular weight of aluminum is

27 \mathrm{~gm}

View answer and explanation

Correct option: C

2.6 \times 10^{-4} \mathrm{~m} / \mathrm{s}

Option C (

2.6 \times 10^{-4} \mathrm{~m} / \mathrm{s}

) is correct because it is the drift speed calculated using the formula

I = n e A v_d

and the given parameters.

22 Easy

22 of 34

Application +4 | -1

A wire

\mathrm{X}

is half the diameter and half the length of a wire

\mathrm{Y}

of similar material. The ratio of resistance of

X

to that of

Y

View answer and explanation

Correct option: C

2: 1

Option C (

2: 1

) is correct because resistance is inversely proportional to the area and directly proportional to the length, so halving the length and halving the diameter (which quarters the area) results in a ratio of 2:1.

23 Easy

23 of 34

Application +4 | -1

A uniform wire of length

l

and radius

r

has a resistance of

100\,\Omega

. It is recast into a wire of radius

\frac{r}{2}

. The resistance of new wire will be

View answer and explanation

Correct option: A

1600\Omega

Option A (

1600\Omega

) is correct because when the radius is halved, the area is quartered, and since the volume remains constant, the length becomes four times the original, resulting in a 16-fold increase in resistance.

24 Easy

24 of 34

Application +4 | -1

Resistance of conductor is doubled keeping the potential difference across it constant. The rate of generation of heat will

View answer and explanation

Correct option: B

be halved

Option B (be halved) is correct because the rate of heat generation is inversely proportional to the resistance when the potential difference is constant.

25 Easy

25 of 34

Application +4 | -1

The resistance of a

240 \mathrm{~V}

and

200 \mathrm{~W}

electric bulb when hot is 10 times the resistance when cold. Find its resistance at room temperature. If the working temperature of the filament is

2000^{\circ} \mathrm{C}

, find the temperature coefficient of the filament.

View answer and explanation

Correct option: B

4.5 \times 10^{-3}{ }^{\circ} \mathrm{C}^{-1}

Option B (

4.5 \times 10^{-3}{ }^{\circ} \mathrm{C}^{-1}

) is correct because it is the temperature coefficient calculated using the change in resistance with temperature.

26 Easy

26 of 34

Analyzing +4 | -1

Five hundred cells of same emf

E

and same internal resistance

r

are connected in series to form a loop in same order (without external resistance). The potential drop across 199 cells is found to be

View answer and explanation

Correct option: D

Zero

Option D (Zero) is correct because the cells are connected in a closed loop in the same order, resulting in zero net emf and thus zero potential drop across any number of cells.

27 Easy

27 of 34

Understanding +4 | -1

The electrical conductivity of earth's atmosphere

View answer and explanation

Correct option: B

Increases with altitude.

Option B (Increases with altitude) is correct because the electrical conductivity of the Earth's atmosphere increases with altitude due to increased ionization from cosmic rays and solar radiation.

28 Easy

28 of 34

Understanding +4 | -1

Ohm's law is valid if

View answer and explanation

Correct option: D

I

depends on

V

linearly

Option D (

I

depends on

V

linearly) is correct because Ohm's law states that current is directly proportional to voltage, implying a linear relationship.

29 Easy

29 of 34

Understanding +4 | -1

Statement-1: A piece of copper and other of germanium are cooled from room temperature to

100 \,\mathrm{K}

conductivity of copper increases and that of germanium decreases.
Statement-2: Copper has positive temperature coefficient where as germanium has negative temperature coefficient.

View answer and explanation

Correct option: A

Statement-1 is true, Statement-2 is true, Statement-2 is the correct explanation for Statement-1

Option A is correct because copper's conductivity increases with decreasing temperature (positive temperature coefficient), while germanium's conductivity decreases (negative temperature coefficient).

30 Easy

30 of 34

Application +4 | -1

An inductance of 0.1 henry is connected with D.C. source of 120 volt. If the current flowing in the inductive coil is

0.5\, \mathrm{amp}

, then resistance of the coil is:

View answer and explanation

Correct option: B

240\, \Omega

Option B (

240\, \Omega

) is correct because the resistance is calculated using Ohm's law with the given voltage and current in a DC circuit.

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Key Takeaways

✓ This set contains 34 single-correct-answer MCQs on CURRENT ELECTRICITY.
✓ 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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