Question

Two charged conducting spheres of radii a and b are connected to each other by a conducting wire. The ratio of charges of the two spheres respectively is:

(1) \(\sqrt{\mathrm{ab}}\)

(2) ab

(3) \(\frac{a}{b}\)

(4) \(\frac{\mathrm{b}}{\mathrm{a}}\)  

Answer 1

Correct option is : (3) \(\frac{a}{b}\) 

Potential at surface will be same

\(\frac{\mathrm{Kq}_{1}}{\mathrm{a}}=\frac{\mathrm{Kq}_{2}}{\mathrm{~b}}\)

\(\frac{\mathrm{q}_{1}}{\mathrm{q}_{2}}=\frac{\mathrm{a}}{\mathrm{b}}\)