A charge `10 muC` is placed at the centre of a hemisphere of radius `R = 10 cm` as shown. The electric flux through the hemisphere (in MKS units)is

Options

A. `20 xx10^5`
B. `10 xx10^5`
C. `6 xx10^5`
D. `2xx10^5`

Answer

C

Explanation

Electric flux through the sphere `=q/(epsilon_0)`
Electric flux through the hemisphere `=1/2 q/(epsilon_0)`
`=(10 xx10^(-6))/(2 xx 8.854 xx10^(-12))= 0.56 xx10^6 Nm^2//C`
`~~0.6 xx10^6 Nm^2//C ~~6 xx10^5 Nm^2//C`