A solid uniformly charged fixed non-conducting sphere of total charge Q and radius R contains a tunnel of negligible diameter. If a point charge '–q' of mass 'm' is released at rest from point P as shown in figure then find out its velocity at following points
(i) At the surface of sphere
(ii) At the center of the sphere
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(i) 
( ii) 
Sol. (i) Let velocity at the surface of sphere is v s . so, by conservation of mechanical energy between point P & S:
U P + K p = U s + K s
⇒ – 
+ 0 = – 
or 
; v s = 
m/sec
(ii) Let velocity at the center of sphere is v e . so, by conservation of mech. energy between P & C.
U P + K P = K C + U C
⇒ – 
= 
or 
∴ v c = 
.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems