A uniformly charged thin spherical shell of radius R carries uniform surface charge denisty of `isgma` per unit area. It is made of two hemispherical shells, held together by presisng them with force F(see figure). F is proportional to

Options

A. `(1)/(epsilon_(0)) sigma^(2) R^(2)`
B. `(1)/(epsilon_(0)) sigma^(2) R`
C. `(1)/(epsilon_(0)) (sigma^(2))/(R )`
D. `(1)/(epsilon_(0)) (sigma^(2))/(R^(2))`

Answer

1

Explanation

Electrostatic pressure `= (sigma^(2))/(2 in_(0))`
`F = (sigma^(2))/(2 in_(0)) . pi R^(2) = (sigma^(2) pi R^(2))/(2 in_(0))`