A cavity of radius
r is present inside a fixed solid dielectric sphere of radius
R, having a volume charge density of
ρ. The distance between the centres of the sphere and the cavity is
a. An electron is released inside the cavity at an angle
θ=45o as shown. The electron (of mass
m and charge
−e) will take
(P√2mrε0eaρ)12 time to touch the sphere again. Neglect gravity. Find the value of
P :