Surface churgc densities on the spheres of radius `r_(1)` and `r_(2)` are same, then ratio of their electric potential will be ...... .

Options

A. `(r_(1)^(2))/(r_(2)^(2))`
B. `(r_(2)^(2))/(r_(1)^(2))`
C. `(r_(1))/(r_(2))`
D. `(r_(2))/(r_(1))`

Answer

A, B

Explanation

In `V=(1)/(4pi in_(0))xx(q)/(r) q = 4pi r^(2)sigma`
`:. In V = (4pir^(2)sigma)/(4pi in_(0)r)=(sigmar)/(in_(0)), (sigma)/(in_(0))` is same
`:. V prop r `
`:. (V_(1))/(V_(2))=(r_(1))/(r_(2))`