in a LCR circuit capacitance is chagned from C to 2C. For the resomat frequency to remain unchaged, the inductance should be chagned from L to

Options

A. `4 L`
B. `2 L`
C. `L//2`
D. `L//4`

Answer

C

Explanation

`f_(0) = (1)/(2pi sqrt(LC))` , `f'_(0) = (1)/(2pi sqrt(L'C')) = (1)/(2 pi sqrt(L' 2C))`
As per the question `f'_(0) = f_(0)` , `:. L' = (L)/(2)`