Q.

One end of a U-tube of uniform bore (area A) containing mercury is connected to a suction pump. Because of it the level of liquid of density ρfalls in one limb. When the pump is removed, the restoring force in the other limb is:

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a

2xρAg

b

Xρg

c

Aρg

d

xρAg

answer is A.

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Detailed Solution

Force due to excess pressure =Restoring force =(ρgh)A=ρg(2x)A
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One end of a U-tube of uniform bore (area A) containing mercury is connected to a suction pump. Because of it the level of liquid of density ρfalls in one limb. When the pump is removed, the restoring force in the other limb is: