# 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 |
70%
From NCERT
NEET - 2022
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An a.c. 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
NEET - 2022
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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 |
66%
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
Subtopic:  Different Types of AC Circuits |
65%
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
Subtopic:  RMS & Average Values |
69%
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 |
74%
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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$$12~\text{V},60~\text{W}$$ 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. $$3.7 ~\mathrm{A}$$
Subtopic:  Transformer |
66%
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 |
58%
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. $$5\sqrt{5}~\Omega$$

Subtopic:  Different Types of AC Circuits |
57%
From NCERT
NEET - 2023