Consider a L-C oscillation circuit. Circuit elements has zero resistance. Initially at t=0 all the energy is stored in the form of electric field and plate-1 is having positive charge:

at time `t=t_(1)` plate-2 attains half of the maximum+ve change for the first time. Value of `t_(1)` is :

Options

A. `(2 pi)/(3) sqrt(LC)`
B. `(pi)/(3) sqrt(LC)`
C. `(4pi)/(3) sqrt(LC)`
D. `pi sqrt(LC)`

Answer

A

Explanation

`q_(1)=q_(0) sin(omegat + pi//2)`
at `=t =t_(1)q_(1)=-(q_(0))/(2)t_(1)=(pi-(pi)/(3))/(omega)=(2pi)/(3omega)=(2pi)/(3) sqrt(LC)`