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The capacitance in an oscillatory LC circuit is increased by 1%. The change in inductance required to restore its frequency of oscillation is to

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decrease it by 0.5%

increase it by 1%

decrease it by 1%

decrease it by 2%

answer is C.

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Detailed Solution

$ω_{r} = c o n s \tan t$

$\Rightarrow L C = c o n s \tan t$

$\Rightarrow L d C + C d L = 0 \Rightarrow \frac{d L}{L} = - \frac{d C}{C} = - 1 %$

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