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A rectangular tank of mass $\;m_{0}\;$ and charge Q over it is placed over a smooth horizontal floor. A horizontal electric field E exist in the region . Rain drops are falling vertically in the tank at the constant rate of n drops per second . Mass of each drop is m . find velocity of tank as function of time .

$(a)\;\large\frac{2QEt}{m_{0}+m n t}\qquad(b)\;\large\frac{QEt}{m_{0}+m n t}\qquad(c)\;\large\frac{QEt}{2(m_{0}+m n t)}\qquad(d)\;None$

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Answer : (b) $\;\large\frac{QEt}{m_{0}+m n t}$
Explanation :
Two forces will act on the tank .
(a) Electrostatic force (b) Thrust force
Let v be the velocity at any instant . Then
answered Feb 18, 2014 by yamini.v

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