A charged particle of mass m and charge q is kept initially at rest on a frictionless surface. Another charged particle of mass 4m and charge 2q starts moving with velocity v towards it. Calculate the distance of the closest approach for both the charged particles.

Options

A. `q^2/(8pi epsilon_0mv^2)`
B. `q^2/(4pi epsilon_0mv^2)`
C. `q^2/(8pi epsilon_0mv^2)`
D. `q^2/(2pi epsilon_0mv^2)`

Answer

B

Explanation

Using law of conservation of mechanical energy Initial K.E = Final P.E.