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Question

# A container filled with liquid up to height h is placed on a smooth horizontal surface. The container is having a small hole at the bottom. As the liquid comes out from the hole, the container moves in a backward direction with acceleration a and finally, when al liquid is drained out, it acquires a velocity v. Neglect mass of the container. In this case

A
both a and v depend on h
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B
only a depends on h
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C
only v depends on h
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D
neither a nor v depends on h
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Solution

## The correct option is D neither a nor v depends on hV=√2gh⇒ V depends on 'h'a=dVdt=√2g×12√hdhdt=√g.g2hgV=gV2V=g2a=g2⇒a is independent of h

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