A LCR circuit be haves like a damped harmonic oscillator. The discharge of capacitor C, through an `C^(square)` inductor L having resistance R is oscillatory. Then which of following is correct _____.

Options

A. `(1)/(LC) lt (R^(2))/(4L^(2))`
B. `(1)/(LC) gt (R^(2))/(4L^(2))`
C. `(1)/(LC) gt (R^(3))/(4L^(4))`
D. `(1)/(sqrt(LC)) gt (R^(3))/(8)`

Answer

B

Explanation

As ` w = sqrt((1)/(LC) - ((R)/(2L))^(2))`
For osciallation w should defined
For this `(1)/(LC) gt ((R)/(2L))^(2)`