ElectrostaticsHard
Question
On a semicircular ring of radius = 4R, charge + 3q is distributed in such a way that on one quarter + q is uniformly distributed and on another quarter + 2q is uniformly distributed. Along its axis a smooth nonconducting and uncharged pipe of length 6 R is fixed axially as shown. A small ball of mass m and charge + q is thrown from one end of pipe with speed u. The speed ′u′ so that ball will come out from the other end of pipe is :
Options
A.
B.
C.
D.
Solution
(A) To reach the other end, the ball have to cross the max. potential energy barrier formed at the centre of the ring (middle of the rod). Applying energy conservation between left end and middle.
+ 
= 
+ 
mv2
To cross the barrier, v > 0
mu2 + 
> 0
or u >
+ = + mv2To cross the barrier, v > 0
mu2 + > 0or u >
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