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) |
77%
From NCERT
AIPMT - 2006
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

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) |
55%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

The natural frequency of the circuit shown in the figure is:

1. $\frac{1}{2\mathrm{\pi }\sqrt{\mathrm{LC}}}$

2. $\frac{1}{\mathrm{\pi }\sqrt{\mathrm{LC}}}$

3. $\frac{2}{\mathrm{\pi }\sqrt{\mathrm{LC}}}$

4. None of these

Subtopic:  LC Oscillations (OLD NCERT) |
83%
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints

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)

$1.$ $Zero$ 
$2.$ $\frac{{q}_{0}}{\sqrt{Lc}}$ 
$3.$ $\frac{{q}_{0}}{LC}$ 
$4.$ ${q}_{0}\sqrt{LC}$

Subtopic:  LC Oscillations (OLD NCERT) |
63%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

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) |
51%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

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?

$1.$

$2.$

$3.$

4. All of these

Subtopic:  LC Oscillations (OLD NCERT) |
57%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

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) |
54%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

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) |
87%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

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.$$1.11 \times 10^{4} \ rad/s$$

Subtopic:  LC Oscillations (OLD NCERT) |
64%
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints

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) |
70%
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints