`S_(1) and S_(2)` are two concentric sphere enclosing charges 2Q and 3Q respectively as shown in the figure. What is the ratio of the electric flux through `S_(1) and S_(2)`?

Options

A. `2/3`
B. `3/2`
C. `2/5`
D. `4/3`

Answer

C

Explanation

The electric flux `phi_(1)` through `S_(1)` is given by
`phi_(1)=(2Q)/(epsi_(0))`, similarly the flux through `S_(2)` is givenn by
`phi_(2)=(2Q+3Q)/(epsi_(0))=(5Q)/(epsi_(0))`
`therefore (phi_(1))/(phi_(2))=(2Q)/(epsi_(0))xx(epsi_(0))/(5Q)=(2)/(5)`