Two non-conducting hemispherical surface, which are having uniform charges density `sigma` are placed on smooth horizontal surface as shown in figure. Assuming springs are ideal, calculate comparession in each spring both the hemispherical surface are just touching each other

Options

A. `(sigma^(2))/(2_(epsilon_0))R^(2)/(K)`
B. `R `
C. `(sigma^(2))/(2epsilon_0)(piR^(2))/(K)`
D. `(sigma^(2))/(epsilon_0)(piR^(2))/(K)`

Answer

C

Explanation

`(sigma^(2))/(2epsilon_(0)).piR^(2)=kx`