A metel plate of thickness 2 cm is introduced between the plates of a parallel plate air capacitor having a plate separation of 6 cm. what is the ratio of the capacities of the capacitor before and after introducing the metal plate?

Options

A. `1:2`
B. `2:3`
C. `3:2`
D. `2:1`

Answer

B

Explanation

When the metal plate is introduced
`d_(2)=4cm and d_(1)=6cm`
`therefore (C_(1))/(C_(2))=(A epsi_(0))/(6)xx(4)/(A epsi_(0))=(2)/(3)`