The radius of a charged hollow sphere is 10 cm. If V is the potential of a point away from 5 cm from the centre of sphere, then what will be potential of a point away from 15 cm from the centre of sphere ?

Options

A. `(V)/(3)`
B. `(2V)/(3)`
C. `(3V)/(2)`
D. 3V

Answer

B, C

Explanation

For a point inside the hollow sphere, the potential
`V_(1)= (kq)/(R) = (kq)/(10)......... (1)`
For a point r (r `gt` 10 cm) from a centre of a hollow sphere, the potential
`V_(2) =(kq)/(r) = (kq)/(15) .......... (2)`
`:. (V_(2))/(V_(1))=(10)/(15) =(2)/(3) :. V_(2)=(2)/(3) V_(1)=(2)/(3)xxV=(2V)/(3)`