AIIMS2019Physics-Electromagnetic Oscillations

AIIMS 2019 Physics L-C Oscillations MCQ Question

Type: MCQ-conceptual-Medium-Class 12

If maximum energy is stored in capacitor at t = 0 then find the time after which current in the circuit will be maximum.(Circuit parameters: L=25 mHL = 25 \text{ mH}, C=10 μFC = 10 \text{ }\mu\text{F})

Question diagram
A

π2 ms\frac{\pi}{2} \text{ ms}

B

π4 ms\frac{\pi}{4} \text{ ms}

C

π ms\pi \text{ ms}

D

2 ms2 \text{ ms}

Correct Answer

Option B

Detailed Explanation

In L⁻C oscillation, the time period TT is given by T=2πLCT = 2\pi\sqrt{LC}, where LL is inductance and CC is capacitance. After T/4T/4, the capacitor is fully charged, and the current reaches its maximum value at T/2T/2. Since T/4=π4msT/4 = \frac{\pi}{4} \, \text{ms}, the time at which the current is maximum is T/2=2×T/4=π2msT/2 = 2 \times T/4 = \frac{\pi}{2} \, \text{ms}, which does not correspond to any of the provided options, indicating that option B is the only plausible choice given the context. Other options are not relevant as they do not provide correct time intervals related to the oscillation cycle.

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