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Q.

A container having a hole at the bottom is free to move on a frictionless horizontal surface. As the liquid comes out, container moves in backward direction with an acceleration α and finally acquired velocity v (When all liquid drains out) Neglect the mass of container. The correct options are

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a

α depends only A and a and g

b

v depends upon α and h

c

α is independent of height of liquid in vessel

d

v independent of α

answer is A, B, C.

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Detailed Solution

V=2gy;F=ρa2gy

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(ρAy)α=ρa2gyα=aA2g

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