A transistor-oscillator using a resonant circuit with an inductance \(L\) (of negligible resistance) and a capacitance \(C\) has a frequency \(f.\) If \(L\) is doubled and \(C\) is changed to \(4C,\) the frequency will be:
1. \(f/4\)
2. \(8f\)
3. \(f/2\sqrt2\)
4. \(f/2\)

Subtopic:  LC Oscillations (OLD NCERT) |
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In an ideal parallel LC circuit, the capacitor is charged by connecting it to a dc source which is then disconnected. The current in the circuit will:
1. Become zero instantaneously.
2. Grow monotonically.
3. Decay monotonically.
4. Oscillate instantaneously.

Subtopic:  LC Oscillations (OLD NCERT) |
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The natural frequency of the circuit shown in the figure is:
    

1. 12πLC

2. 1πLC

3. 2πLC

4. None of these

Subtopic:  LC Oscillations (OLD NCERT) |
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In LC oscillation, what is the current in the circuit when the total energy is stored in the form of magnetic energy?
(q0 is the maximum charge stored by the capacitor)

1. Zero 
2. q0Lc 
3. q0LC 
4. q0LC

Subtopic:  LC Oscillations (OLD NCERT) |
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What is the value of the power factor for a parallel LC circuit at a frequency less than the resonance frequency?

1. Zero

2. 1

3. > 1

4.< 1

Subtopic:  LC Oscillations (OLD NCERT) |
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An LC circuit contains an inductor (L=25 mH) and a capacitor (C=25 mF) with an initial charge of Q0. At what time will the circuit have an equal amount of electrical and magnetic energy?

1. π160 s

2. 3π160 s

3. 5π160 s

4. All of these

Subtopic:  LC Oscillations (OLD NCERT) |
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In which of the following circuits can the power factor be zero?

1. LC circuit

2. LCR circuit

3. Purely resistive circuit

4. Both (1) & (2)

Subtopic:  LC Oscillations (OLD NCERT) |
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For which of the following reasons are LC oscillations not sustainable for long?

1. Every inductor has some resistance.
2. The effect of resistance is to introduce a damping effect on the charge & current in the circuit and the oscillations finally die away.
3. Even if the resistance is zero, the total energy of the system is radiated away from the system in the form of electromagnetic radiation.
4. All of the above
Subtopic:  LC Oscillations (OLD NCERT) |
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A charged 30 µF capacitor is connected to a 27 mH inductor. What is the angular frequency of free oscillations of the circuit?

1. \(1.11 \times 10^{3} \ rad/s\)
2.\(2.11 \times 10^{3} \ rad/s\)
3.\(1.11 \times 10^{2} \ rad/s\)
4.\(1.11 \times 10^{4} \ rad/s\)

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An LC circuit contains a 20 mH inductor and a 50 µF capacitor with an initial charge of 10 mC. The resistance of the circuit is negligible. Let the instant the circuit is closed be = 0. What is the total energy stored initially? 

1. 1.0 J
2. 2.0 J
3. 2.2 J
4. 3.3 J

Subtopic:  LC Oscillations (OLD NCERT) |
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