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MHT CET 2026 (15 May, Shift 1) · LC Oscillations

LC Oscillations question from MHT CET 2026 (15 May, Shift 1)

Q1MHT CET 2026 · 15 MAY · SHIFT 1Easy

LC Oscillations

The natural frequency of L-C circuit is $125000$ Hz. Then the capacitor C is replaced by another capacitor with a dielectric medium of dielectric constant K. Now the frequency decreases by $25$ KHz. The value of K is

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Answer: (c)

$f = \frac{1}{2\pi\sqrt{LC}} \Rightarrow f \propto \frac{1}{\sqrt{C}}$ , and $C' = KC$ .
$f' = 125 - 25 = 100$ kHz
$K = \left(\frac{f}{f'}\right)^2 = \left(\frac{125}{100}\right)^2 = 1.5625$
So the answer is (c) 1.56.

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