JEE Main20208 Jan 2020Evening ShiftPhysicsElectrostaticsActual
Consider two charged metallic spheres S 1 and S 2 of radii R 1 and R 2 , respectively. The electric fields E 1 (on S 1 ) and E 2 (on S 2 ) on their surfaces are such that E 1 E 2 = R 1 R 2 . Then the ratio V 1 (on S 1 ) / V 2 (on S 2 ) of the electrostatic potentials on each sphere is:
Options
- AR 1 R 2
- BR 1 R 2 2
- CR 2 R 1
- DR 1 R 2 3
Correct answer
B. R 1 R 2 2
Step-by-step solution
Given, E 1 E 2 = R 1 R 2 Then ratio of potential would be, V 1 V 2 = E 1 R 1 E 2 R 2 = R 1 R 2 × R 1 R 2 = R 1 R 2 2