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Q.

Three large, parallel conducting plates P, Q and R are placed horizontally such  that the plates P and R are rigidly fixed and earthed and the plate Q is given some charge. Under the influence of the electrostatic and gravitational forces, the plate Q may stay in equilibrium 
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1) midway between P and R                      2) if it is closer to P than to R
3) if it is closer to R than to P                    4) which is always unstable

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answer is 24.

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Detailed Solution

Since P and R are earthed and so they can be assumed to be connected to each other. Hence, 'P+Q'  and 'Q+R'  are two capacitors with the same potential difference. If Q is closer to P than to R then the capacitance  CPQ  is  >CQR. The upper surface of Q will have greater charge than the lower surface. As the force of attraction between the plates of a capacitor is proportional to  Q2  so, there will be a net upward force  on Q which can  balance its weight. 

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