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Q. No.Given below are two statements:
Statement I:
In an AC circuit, the current through a capacitor leads the voltage across it.
Statement II:
In AC circuits containing pure capacitance only, the phase difference between the current and the voltage is \(\pi.\)
1.
Both Statement I and Statement II are correct.
2.
Both Statement I and Statement II are incorrect.
3.
Statement I is correct but Statement II is incorrect.
4.
Statement I is incorrect but Statement II is correct.
Subtopic: Different Types of AC Circuits |
68%
From NCERT
NEET - 2022
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An inductor of inductance \(2~\text{mH}\) is connected to a \(220~\text{V}\), \(50~\text{Hz}\) ac source. Let the inductive reactance in the circuit is \(X_1\). If a \(220~\text{V}\) DC source replaces the AC source in the circuit, then the inductive reactance in the circuit is \(X_2\). \(X_1\) and \(X_2\), respectively, are:
1. \(6.28~\Omega\), zero
2. \(6.28~\Omega\), infinity
3. \(0.628~\Omega\), zero
4. \(0.628~\Omega\), infinity
1. \(6.28~\Omega\), zero
2. \(6.28~\Omega\), infinity
3. \(0.628~\Omega\), zero
4. \(0.628~\Omega\), infinity
Subtopic: Different Types of AC Circuits |
67%
From NCERT
NEET - 2022
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A standard filament lamp consumes \(100\) W when connected to \(200\) V AC mains supply. The peak current through the bulb will be:
1. \(0.707\) A
2. \(1\) A
3. \(1.414\) A
4. \(2\) A
1. \(0.707\) A
2. \(1\) A
3. \(1.414\) A
4. \(2\) A
Subtopic: RMS & Average Values |
70%
From NCERT
NEET - 2022
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An AC source given by \(V=V_m\sin\omega t\) is connected to a pure inductor \(L\) in a circuit and \(I_m\) is the peak value of the AC current. The instantaneous power supplied to the inductor is:
1. \(\frac{V_mI_m}{2}\mathrm{sin}(2\omega t)\)
2. \(-\frac{V_mI_m}{2}\mathrm{sin}(2\omega t)\)
3. \({V_mI_m}\mathrm{sin}^{2}(\omega t)\)
4. \(-{V_mI_m}\mathrm{sin}^{2}(\omega t)\)
Subtopic: Power factor |
From NCERT
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A series \(LCR\) circuit with inductance \(10~\mathrm{H}\), capacitance \(10~\mu F\), resistance \(50~\Omega\) is connected to an AC source of voltage, \(V=200 \sin (100 t) \text { volt }\). If the resonant frequency of the \(LCR\) circuit is \(\nu_0\) and the frequency of the AC source is \(\nu\), then:
| 1. | \(\nu=100 \mathrm{~Hz} ; ~\nu_0=\frac{100}{\pi} \mathrm{~Hz}\) |
| 2. | \(\nu_0=\nu=50 \mathrm{~Hz}\) |
| 3. | \(\nu_0=\nu=\frac{50}{\pi} \mathrm{Hz}\) |
| 4. | \(\nu_{0}=\frac{50}{\pi}~ \mathrm{Hz}, \nu=50 \mathrm{~Hz}\) |
Subtopic: Different Types of AC Circuits |
72%
From NCERT
NEET - 2022
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The peak voltage of the AC source is equal to:
| 1. | \(1 / \sqrt{2}\) times the rms value of the AC source |
| 2. | the value of voltage supplied to the circuit |
| 3. | the rms value of the AC source |
| 4. | \(\sqrt{2}\) times the rms value of the AC source |
Subtopic: RMS & Average Values |
76%
From NCERT
NEET - 2022
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An ac source is connected to a capacitor \(C\). Due to decrease in its operating frequency:
| 1. | capacitive reactance remains constant | 2. | capacitive reactance decreases. |
| 3. | displacement current increases. | 4. | displacement current decreases. |
Subtopic: Different Types of AC Circuits |
From NCERT
NEET - 2023
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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?
1. \(0.37 ~\mathrm{A}\)
2. \(0.27 ~\mathrm{A}\)
3. \(2.7 ~\mathrm{A}\)
4. \(3.7 ~\mathrm{A}\)
1. \(0.37 ~\mathrm{A}\)
2. \(0.27 ~\mathrm{A}\)
3. \(2.7 ~\mathrm{A}\)
4. \(3.7 ~\mathrm{A}\)
Subtopic: Transformer |
69%
From NCERT
NEET - 2023
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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:
| 1. | \(1.59~\text{kHz}\) | 2. | \(15.9~\text{rad/s}\) |
| 3. | \(15.9~\text{kHz}\) | 4. | \(1.59~\text{rad/s}\) |
Subtopic: Different Types of AC Circuits |
62%
From NCERT
NEET - 2023
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The net impedance of circuit (as shown in the figure) will be:
1. \(25~\Omega\)
2. \(10\sqrt{2}~\Omega\)
3. \(15~\Omega\)
4. \(5\sqrt{5}~\Omega\)
1. \(25~\Omega\)
2. \(10\sqrt{2}~\Omega\)
3. \(15~\Omega\)
4. \(5\sqrt{5}~\Omega\)
Subtopic: Different Types of AC Circuits |
60%
From NCERT
NEET - 2023
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