Two spherical conductors A and B of radii 1mm and 2mm are separated by a distance of 5cm and are uniformly charged. If, the spheres are connected by a conducting wire then, in equilibrium condition the ratio of the magnitude of the electric fields at the surface of spheres A and B is:
A) \[1:4\]
B) \[4:1\]
C) \[1:2\]
D) \[2:1\]
Correct Answer:
D
Solution :
The ratio, \[\frac{{{E}_{A}}}{{{E}_{B}}}=\frac{{{r}_{B}}}{{{r}_{A}}}=\frac{2}{1}\]