Correct Answer: Option D

Explanation

Resonance frequency in an a.c. circuit is given by F = \(\frac{1}{2π \sqrt{LC}}\)
therefore, \(200\times 10^3\) =  \(\frac{1}{2π \sqrt{L\times 20 \times 10^{-12}}}\)
therefore (\(200\times 10^3)^2\)  =\(\frac{1}{4 \times π^2 \times L \times 20 \times 10^{-12}}\)
THEREFORE,  L = \(\frac{1}{4\times10\times (200\times 10^3)^2 \times 20\times 10^{-12}}\),      (π\(^2\)  ≈10)
Therefore L =\(\frac{1}{32}\)H

There is an explanation video available below.

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