1--one end of a u-tube of a uniform bore (area A) containing mercury is connected to a sanction pump . because of it the level of liquid of density p falls in one limb by x when the pump is removed, the restoring force in the other limb is

Ans--2xpAg

when a suction pump is removed the restoring force in the tube would be 
F = mg,            ..........(1)
As, density  (p) = m/volume ,
mass = p* volume = p A * 2x where x = length of mercury fall in one side. so for two side in order to balance it = 2 x 
by putting these values in the equation 1,  we get
= pA2x * g  = 2pAxg


 

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