A solid sphere is at a temperature `T.K` The sphere is cut into two halves. The fraction of energy emitted per second by the half sphere th that by complete sphere is .

Options

A. `(1)/(2)`
B. `(1)/(4)`
C. `(3)/(4)`
D. `(1)/(16)`

Answer

C

Explanation

`P = e sigma AT^(4) rArr (P_(1))/(P_(2)) = (A_(1))/(A_(2))`
`A_(1) = 4pi R^(2)` and `A_(2) =2piR^(2) + piR^(2)` .