In an L C R circuit having L = 8 H, C = 0 `5muF` and `R=100Omega` in series, the resonance frequency in rad/s is

Options

A. 600
B. 200
C. `250//pi`
D. 500

Answer

C

Explanation

From the formula `omega=(1)/(sqrt(LC))`
Given `L=8" H C"=0.5muF`
`=0.5xx10^(-6)F`
`:." "omega=(1)/(sqrt(8xx0.5xx10^(-6)))`
`implies" "omega=(1)/(2xx10^(-3))`
`implies" "omega=(250)/(pi)"rad"//"s"`