In an alternating current circuit in which an inductance and capacitance are joined in series, current is found to be maximum when the value of inductance is 0.5 henry and the value of capacitance is 8µF. The angular frequency of applied alternating voltage will be

Options

A. 5000 rad/sec
B. 4000 rad/sec
C. `2 xx 10^(5) rad/ sec`
D. 500 rad/ sec

Answer

D

Explanation

Current is maximum when `X_(L) = X_(C)`
`Rightarrow omega L = (1)/(omegaC) Rightarrow omega = (1)/(sqrt(LC)) = (1)/(sqrt(0.5 xx 8 xx 10^(-6))`
` = (1)/(2 xx 10^(-3)) = 500 rad/s`.