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JEE • PHYSICS • ALTERNATING CURRENT

Alternating current practice · Medium

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Practice format and chapter quiz

These sets use single-correct-answer MCQs. They do not cover every JEE Main or JEE Advanced question format and are not full-length mock papers.

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Showing 181-210 of 246 questions
181 Medium
181 of 246
Analyzing +4 | -1
Statement (A): An electric lamp is connected in series with a long solenoid of copper with air core and then connected to AC source. If an iron rod is inserted in solenoid the lamp will become dim.

Statement (B): If iron rod is inserted in solenoid, the induction of solenoid increases.
View answer and explanation
Correct option: A
Both (A) and (B) are true
Both (A) and (B) are true because inserting an iron rod increases the inductance of the solenoid, which increases the impedance and reduces the current, dimming the lamp.
182 Medium
182 of 246
Understanding +4 | -1
Alternating current cannot be measured by DC ammeter because
View answer and explanation
Correct option: C
Average value of current for complete cycle is zero
Option C is correct because the average value of AC over a complete cycle is zero, so a DC ammeter, which measures average current, will not register any current.
183 Medium
183 of 246
Understanding +4 | -1
An AC source rated 100 V100 \mathrm{~V} (rms) supplies a current of 10 A10 \mathrm{~A} (rms) to a circuit. The average power delivered by the source:
View answer and explanation
Correct option: C
May be less than 1000 W1000 \mathrm{~W}
Option C is correct because the average power delivered by an AC source is given by P=VrmsIrmscos⁡ϕP = V_{rms} I_{rms} \cos{\phi}, where cos⁡ϕ\cos{\phi} is the power factor, which can be less than 1.
184 Medium
184 of 246
Application +4 | -1
A 100 Ω100\,\Omega resistance and a capacitor of 100 Ω100\,\Omega reactance are connected in series across a 200  V200\,{\mkern 1mu} V source. When the capacitor is 50% charged, the peak value of the displacement current is
View answer and explanation
Correct option: B
2.2 A
The correct answer is 2.2 A because the peak current is calculated using the peak voltage and impedance of the series RC circuit.
185 Medium
185 of 246
Application +4 | -1
Impedance of a coil having inductance 0.4 H at frequency of 50 Hz will be
View answer and explanation
Correct option: B
40 π  Ω40\,\pi \,\,\Omega
Option B (40π,Ω40\pi \\,\Omega) is correct because it accurately calculates the impedance of the coil using the formula XL=2πfLX_L = 2\pi fL.
186 Medium
186 of 246
Application +4 | -1
A portable generator turning at 350 rad/s350\, \mathrm{rad} / \mathrm{s} produces an EMF of 120 V rms120 \mathrm{~V}\, \mathrm{rms}. If an additional 500 W500 \mathrm{~W} light bulb is added to the circuit, what additional torque is required to keep the generator spinning at 350 rad/s350 \,\mathrm{rad} / \mathrm{s} ?
View answer and explanation
Correct option: B
1.4Nm1.4 \mathrm{Nm}
Option B (1.4 Nm) is correct because it is the additional torque required, calculated using the relationship between power, torque, and angular velocity.
187 Medium
187 of 246
Understanding +4 | -1
Assertion: Chock coil is preferred over a resistor to adjust current in an ac circuit.

Reason: Power factor for inductance is zero.
View answer and explanation
Correct option: A
If both assertion and reason are true and the reason is the correct explanation of the assertion.
Option A is correct because a choke coil is preferred due to its zero power factor, minimizing power loss, and the reason correctly explains the assertion.
188 Medium
188 of 246
Application +4 | -1
An alternating current in a circuits is given by I=20sin⁡[100 π t+0.05π]AI = 20\sin \left[ {100\,\pi \,t + 0.05\pi } \right]A. The rms value and the frequency of current respectively are
View answer and explanation
Correct option: C
102A10\sqrt 2 A and 50 Hz
Option C (102A10\sqrt 2 A and 50 Hz) is correct because it is derived from the given alternating current equation by finding the RMS value and frequency.
189 Medium
189 of 246
Understanding +4 | -1
A.C power is transmitted from a power house at a high voltage as
View answer and explanation
Correct option: B
it is more economical due to less power loss
Option B is correct because transmitting power at high voltage reduces current, leading to lower power loss (I2RI^2R) and making it more economical.
190 Medium
190 of 246
Application +4 | -1
The number of turns in primary and secondary coils of a transformer are 100\mathrm{100} and 20\mathrm{20} respectively. If an alternating potential of 200  volt200\,\,volt is applied to the primary, the induced potential in secondary will be
View answer and explanation
Correct option: B
40  V40\,\,V
Option B (40 V40\,V) is correct because the induced potential in the secondary coil is calculated using the transformer equation.
191 Medium
191 of 246
Application +4 | -1
Find the value of t/τt / \tau for which the current in an LR circuit builds up to

(a) 90%90 \%, (b) 99%99 \% and (c) 99.9%99.9 \% of the steady-state value.
View answer and explanation
Correct option: A
2.3,4.6,6.92 . 3,4 . 6,6 . 9
Option A (2.3,4.6,6.92.3, 4.6, 6.9) is correct because it represents the values of t/τt/\tau calculated for the current to reach 90%, 99%, and 99.9% of its steady-state value in an LR circuit.
192 Medium
192 of 246
Remembering +4 | -1
An A.C. source is connected to a resistive
circuit. Which of the following is true?
View answer and explanation
Correct option: C
Current and voltage are in same phase
Option C (Current and voltage are in same phase) is correct because in a purely resistive AC circuit, current and voltage are always in phase.
193 Medium
193 of 246
Understanding +4 | -1
The power is transmitted from a power house on high voltage ac because
View answer and explanation
Correct option: B
It is more economical due to less power wastage
Option B is correct because transmitting power at high voltage reduces current, which minimizes power loss due to resistive heating in the transmission lines.
194 Medium
194 of 246
Understanding +4 | -1
A coil of inductance L has an inductive reactance of XL{X_L} in an AC circuit in which the effective current is II. The coil is made from a super-conducting material and has no resistance. The rate at which power is dissipated in the coil is
View answer and explanation
Correct option: A
0
Option A (0) is correct because a superconducting coil has no resistance, and therefore dissipates no power.
195 Medium
195 of 246
Understanding +4 | -1
When the speed of a dc motor increases the armature current
View answer and explanation
Correct option: B
Decreases
Option B is correct because as the speed of a DC motor increases, the back EMF also increases, which reduces the armature current.
196 Medium
196 of 246
Application +4 | -1
An alternating voltage V=V0\mathrm{V}=\mathrm{V}_0 sin ωt\omega \mathrm{t} is applied across a circuit. As a result, a current I=I0sin⁡(ωt−π/2)\mathrm{I}=\mathrm{I}_0 \sin (\omega t-\pi / 2) flows in it. The power consumed per cycle is
View answer and explanation
Correct option: A
zero
Option A (zero) is correct because the phase difference between the voltage and current is π/2\pi/2, resulting in a power factor of zero and thus zero power consumption.
197 Medium
197 of 246
Understanding +4 | -1
When power is drawn from the secondary coil of the transformer, the dynamic resistance
View answer and explanation
Correct option: A
Increases
Option A (Increases) is correct because drawing power from the secondary coil increases the current in the primary coil, leading to an increase in dynamic resistance.
198 Medium
198 of 246
Understanding +4 | -1
For an LCRL C R series circuit with an ac source of angular frequency ω\omega,
View answer and explanation
Correct option: C
Power factor of circuit will be unity if capacitive reactance equals inductive reactance
Option C (Power factor of circuit will be unity if capacitive reactance equals inductive reactance) is correct because when capacitive and inductive reactances are equal, the circuit is purely resistive, resulting in a power factor of 1.
199 Medium
199 of 246
Understanding +4 | -1
Statement (A): Maximum power is dissipated in a circuit (through R ) in resonance.

Statement (B): At resonance in a series LCR circuit, the voltage across indcutor and capacitor are out of phase.
View answer and explanation
Correct option: A
Both (A) and (B) are true
Option A (Both (A) and (B) are true) is correct because at resonance, maximum power is dissipated, and the voltage across the inductor and capacitor are out of phase in a series LCR circuit.
200 Medium
200 of 246
Analyzing +4 | -1
Assertion: In higher power transmission, 240 V240 \mathrm{~V} is preferred over 120 V120 \mathrm{~V}.
Reason: Power loss is more in case of 120 Vas compared to 240 V.
View answer and explanation
Correct option: D
If both Assertion & Reason are false
Option D is correct because higher power transmission uses higher voltages to reduce current and power loss, and power loss is less in 240 V compared to 120 V.
201 Medium
201 of 246
Analyzing +4 | -1
Assertion (A) : An inductor coil normally produces more current with DC source compared to an AC source of same value of rms voltage.

Reason (R) : In DC source, applied voltage remains constant with time.
View answer and explanation
Correct option: B
If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
Option B is correct because while both the assertion and reason are true, the reason doesn't fully explain why a DC source produces more current. The primary reason is the absence of inductive reactance in a purely DC circuit.
202 Medium
202 of 246
Analyzing +4 | -1
Assertion: The alternating current lags behind the e.m.f. by a phase angle of π/2\pi / 2, when ac flows through an inductor.

Reason: The inductive reactance increases as the frequency of ac source decreases.
View answer and explanation
Correct option: C
If assertion is true but reason is false.
Option C is correct. The assertion is true because in an inductor, the voltage leads the current by π/2\pi/2. The reason is false because inductive reactance increases as the frequency increases.
203 Medium
203 of 246
Application +4 | -1
The square root of the product of inductance and capacitance has the dimension of
View answer and explanation
Correct option: C
Time
Option C (Time) is correct because the square root of the product of inductance and capacitance has the dimensions of time, as it's inversely proportional to frequency.
204 Medium
204 of 246
Application +4 | -1
In a LCR oscillatory circuit find the energy stored in inductor at resonance, if voltage of source is 10 V10 \mathrm{~V} and resistance is 10 Ω10 \,\Omega and inductance is 1 H1 \,\mathrm{H}.
View answer and explanation
Correct option: A
0.5 J0.5 \mathrm{~J}
Option A (0.5 J) is correct because at resonance, the energy stored in the inductor is calculated using the formula 12LI2\frac{1}{2}LI^2 with the current being I=VRI = \frac{V}{R}.
205 Medium
205 of 246
Analyzing +4 | -1
Assertion (A) : In series L−C⋅RL-C \cdot R circuit, voltage will lead the current function for frequency greater than the resonance frequency.

Reason (R) : At resonance frequency, phase difference between current function and voltage function is zero.
View answer and explanation
Correct option: B
If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
Option B is correct. In a series L-C-R circuit, voltage leads the current for frequencies greater than the resonance frequency because the circuit becomes inductive. The reason is true, but it doesn't explain the assertion.
206 Medium
206 of 246
Analyzing +4 | -1
Assertion (A)If the frequency of the applied ACAC is doubled, then the power factor of a series R−LR-L circuit decreases.

Reason (R) Power factor of series R-L circuit s given' by

cos⁡θ=2RR2+ω2 L2\cos \theta=\frac{2 {R}}{\sqrt{{R}^2+\omega^2 {~L}^2}}
View answer and explanation
Correct option: C
If Assertion is true but Reason is false.
The Assertion is true, but the Reason is false. Increasing the frequency decreases the power factor, but the given formula for the power factor is incorrect.
207 Medium
207 of 246
Remembering +4 | -1
Which type of losses donot occur in the transformer?
View answer and explanation
Correct option: C
Mechanical losses
Option C (Mechanical losses) is correct because mechanical losses are not typically associated with transformers, which are static devices.
208 Medium
208 of 246
Understanding +4 | -1
What is the average power dissipation in an ideal capacitor in an AC circuit?
View answer and explanation
Correct option: C
Zero
Option C (Zero) is correct because the voltage and current are out of phase by 90 degrees in an ideal capacitor, resulting in zero average power dissipation.
209 Medium
209 of 246
Application +4 | -1
A capacitor of 10μF10 \mu \mathrm{F} and an inductor of 1 H1 \mathrm{~H} are joined in series. An ac of 50 Hz50 \mathrm{~Hz} is applied to this combination. What is the impedance of the combination?
View answer and explanation
Correct option: B
10(10−π2)πΩ\frac{10\left(10-\pi^2\right)}{\pi} \Omega
Option D (10(10−π2)πΩ\frac{{10(10-\pi^2)}}{\pi} \Omega) is correct because it is the correct calculation of the impedance of the series LC circuit at 50 Hz.
210 Medium
210 of 246
Remembering +4 | -1
In step-up transformer, relation between number of turns in primary (Np)\left( {{N_p}} \right) and number of turns is secondary (Ns)\left( {{N_s}} \right) coils is
View answer and explanation
Correct option: A
Ns{N_s} is greater than Np{N_p}
Option A is correct because a step-up transformer increases voltage, which requires more turns in the secondary coil than in the primary coil.
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