A cavity of radius r is present inside a solid dielectric sphere of radius R, having a volume charge density of ρ. The distance between the centers of the sphere and the cavity is a. An electron e is kept inside the cavity at an angle θ = 45 0 as shown. The electron (mass m and charge –e) touches the sphere again after time 
? Find the value of P. Neglect gravity.
Text Solution
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(6)
Sol. Electric field inside the cavity = 
Force on the e – inside cavity = 
(e)
Cavity —— → 
∴ acceleration of electron a e = 
Now for distance
Cavity —— → 
d = 
= 
by S = ut + 1/2 at 2 , 
= 
× 
t 2 ⇒ t = 
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