Alternating Current MCQs for NEET — Physics Questions with Answers

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When a DC source is connected to a capacitor, what happens to a lamp connected in series with it?

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Explanation

The NCERT example states: 'When a dc source is connected to a capacitor, the capacitor gets charged and after charging no current flows in the circuit and the lamp will not glow.'

In an AC circuit, what term is used to describe current that causes no power dissipation?

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Explanation

The NCERT text mentions: 'In a purely inductive or capacitive circuit, $\cos \phi = 0$ and no power is dissipated even though a current is flowing in the circuit. In such cases, current is referred to as a wattless current.'

For a series RLC circuit, resonance occurs when:

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Explanation

The NCERT text states: 'In a RLC circuit, resonance phenomenon occur when $X_L = X_C$ or $\omega_0 = \frac{1}{\sqrt{LC}}$'.

The power factor in an RLC circuit is a measure of:

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Explanation

The NCERT text states: 'The power factor in a RLC circuit is a measure of how close the circuit is to expending the maximum power.'

If a capacitor is connected to an AC source and its capacitance (C) is reduced, what happens to the brightness of a series-connected lamp?

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Explanation

From Example 7.3: 'Reducing C will increase reactance [capacitive reactance $X_C = 1/(\omega C)$] and the lamp will shine less brightly than before.'

According to the NCERT text, what is the relationship between the peak voltage ($v_m$) and peak current ($i_m$) for a purely resistive AC circuit?

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Explanation

From Eq. (7.3) in the NCERT text: '$v_m = i_m R$'. This is essentially Ohm's Law for peak values in a resistive AC circuit.

NEET 2023

In a series $LCR$ circuit, the inductance $L$ is $10\ \text{mH}$, capacitance $C$ is $1\ \mu\text{F}$ and resistance $R$ is $100\ \Omega$. The frequency at which resonance occurs is:

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Explanation

$f_0 = \dfrac{1}{2\pi\sqrt{LC}} = \dfrac{1}{2\pi\sqrt{10^{-2}\times 10^{-6}}} \approx 1.59\ \text{kHz}$.

NEET 2023

An ac source is connected to a capacitor $C$. Due to decrease in its operating frequency:

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Explanation

$X_C = 1/(\omega C)$ increases as $\omega$ decreases, so current $I = V/X_C$ (and displacement current) decreases.

NEET 2023

A $12\ \text{V}$, $60\ \text{W}$ lamp is connected to the secondary of a step down transformer, whose primary is connected to ac mains of $220\ \text{V}$. Assuming the transformer to be ideal, what is the current in the primary winding?

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Explanation

Ideal transformer: $V_p I_p = V_s I_s = 60\ \text{W}\Rightarrow I_p = 60/220 \approx 0.27$ A.

NEET 2023

The net impedance of circuit (as shown in figure) will be:

50/π mH 10³/π μF 10 Ω 220 V, 50 Hz
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Explanation

$X_L = 2\pi(50)(50/\pi)\times 10^{-3} = 5\ \Omega$. $X_C = 1/[2\pi(50)(10^3/\pi)\times 10^{-6}] = 10\ \Omega$. $Z = \sqrt{R^2 + (X_L - X_C)^2} = \sqrt{100 + 25} = 5\sqrt{5}\ \Omega$.

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