At a distance of` 5cm` and `10 cm` from surface of a uniformly charge solid sphere, te potentials are `100V` and `75V` respectivley. Then

Options

A. potential at its surface is 150V
B. the charge on the sphere is `(5//3)xx10^(-10)C`
C. the electric field on the surface is 1500 V/m
D. the electric potential at its centre is 225 V

Answer

A, C, D

Explanation

`(KQ)/(r+5) =100 & (KQ)/(r+100)=75` r, radius of sphere in cm `implies r=10 cm & Q=5/3 times 10^-9 C`
`E_s=(KQ)/r^2=1500 V/m, V_(center)=3/2 (KQ)/r=225V`