A sphere of radius `R` has a uniform distribution of electric charge in its volume. At a distance `x` from its centre, for `x lt R`, the electric field is directly proportional to

Options

A. `1//x^2`
B. `1//x`
C. x
D. `x^2`

Answer

C

Explanation

`ointvecE.dvecs=(q_("in"))/(epsilon_0)`
`implies E xx4pi x^2 = (Qx^3)/(R^3 epsilon_0)=(Qx)/(4piepsilon_0R^3)`
`E prop x`