Physics-(general)

NEET Physics (general) MCQ Question

Type: MCQ-numerical-Hard-Class 12

In a series RLC circuit, if the inductance L is 1 mH and the capacitance C is such that the resonant angular frequency ω0\omega_0 is 1.00×1061.00 \times 10^6 rad/s, what is the value of the capacitance C?

A

1.00×1012F1.00 \times 10^{-12} F

B

1.00×106F1.00 \times 10^{-6} F

C

1.00×109F1.00 \times 10^{-9} F

D

1.00×103F1.00 \times 10^{-3} F

Correct Answer

Option C

Detailed Explanation

The resonant angular frequency ω0\omega_0 is given by ω0=1LC\omega_0 = \frac{1}{\sqrt{LC}}. Solving for C with L=1×103HL = 1 \times 10^{-3} H and ω0=1×106\omega_0 = 1 \times 10^6 rad/s, we find C = 1.00×109F1.00 \times 10^{-9} F.

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