Physics-Resonance

NEET Physics Resonance MCQ Question

Type: MCQ-numerical-Hard-Class 12

In a series RLC circuit, if the inductance L is doubled while keeping the capacitance C and resistance R constant, how does the resonant frequency change?

A

Decreases by a factor of √2

B

Increases by a factor of √2

C

Remains unchanged

D

Decreases by a factor of 2

Correct Answer

Option A

Detailed Explanation

The resonant frequency is given by ω0=1LC\omega_0 = \frac{1}{\sqrt{LC}}. Doubling L results in ω0=12LC\omega'_0 = \frac{1}{\sqrt{2LC}}, which shows the frequency decreases by a factor of √2.

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