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Q.

Two fixed very large conducting plates A and B of area S carry charges -Q and q respectively where Q>q>0. A third identical plate C carrying a charge Q is released at distance d from B. Third plate collides with B. Assume collision is elastic and time of collision is sufficient to re-distribute charge among B and C (Neglect gravity):

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a

Subsequent to collision electrostatic potential energy between plates remains constant

b

Subsequent to collision, kinetic energy of plate C increases 

c

Force acting on plate C before collision is  Q220S

d

Force acting on plate C after collision is (q/2)220S

answer is B, C, D.

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Detailed Solution

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Before collision, electric force 
FC=(Qq)Q20S (towards left)
During collision, redistribution of charge takes place between B and C, let charge on them are  q1andq2
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(Charges on outer most surfaces will be equal)    
q1=Q+q2q2=q2
Force on plate C after collision
=(Q+Q+q2)20Sq2

=(q2)220S (towards right)

After collision, electric field between plates B and C is zero. So kinetic energy of plate C increases and P.E, between the plates remains constant.

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