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 xx 10^(5)`
B. `10 xx 10^(8)`
C. `6 xx 10^(5)`
D. `2 xx 10^(5)`

Answer

C

Explanation

Electric flux through the sphere
` = (q)/(epsi_(0))`
`therefore` Electric flux through the hemisphere ` = (1)/(2) (q)/(epsi_(0))`
`= (10xx10^(-6))/(2xx8.854xx10^(12))`
` = 0.56 xx 10^(6) Nm^(2)//C`
`=0.6 xx10^(6) Nm^(2)//C`
`= 6 xx 10^(5) Nm^(2)//C`