Q.

A small metallic uncharged object is suspended between two vertical metal plates having equal and opposite charges, as shown. Due to the charges on plates an uniform electric field appears between the plates. Now the ball is touched to one of the plates and released. For this arrangement mark the correct statements. 

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a

Ball moves to and fro between the plates and in both to and fro motion it is accelerated (speeding up) 

b

The charge of the system is remaining conserved and it is only transferred between the plates with the help of ball.

c

Finally positive plate acquire negative charge and negative plate acquire positive charge, but magnitude of charge on both plates still remains same.

d

The charge of both the plates is continuously decreasing and becomes neutral at infinite time. 

answer is A, B, C.

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Detailed Solution

Let us consider that ball is first touched to positive plate, as a result it acquires positive charge and due to electric field from positive to negative plate it accelerates and comes in contact with negative plate. There it releases positive charge and acquires negative charge, thus again accelerating from negative to positive plate and this process repeats. In this way the positive charge of left plate is transferred to right plate and negative charge of right plate is transferred to left plate thus reducing the charge of both the plates to be zero. 

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