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Q.

Consider the force F on a charge ‘q’ due to a uniformly charged spherical shell of radius R carrying charge Q distributed uniformly over it. Which one of the following statements is true for F, if ‘q’ is placed at distance r from the centre of the  shell ?

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a

F=14π∈0  QqR2  for  r

b

F=14π∈0  Qqr2  for  r>R

c

14π∈0 qQR2 > F>0  for  r

d

F=14π∈0  Qqr2  for all  r

answer is B.

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Detailed Solution

Electric field inside the charged spherical shell is zero, so force should be zero for r <  R.For outside is  r>R,  E=14π∈oQr2 So,   F=14π∈oQqr2
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