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Q.

A container having a hole at the bottom is free to move on a horizontal surface. As the liquid comes out, the container with an acceleration α and finally acquires a velocity v ( when the liquid has drained out). Neglect the mass of container. The correct option out of the following is:

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a

only v depends on h

b

only α depends on h

c

both v and a depend on h

d

neither v nor α depends on h

answer is A.

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Detailed Solution

The reaction of out flowing liquid= mass coming out per sec x velocity of container∴ (Ahρ)α=ρau.υ=ρa.2ghwith a and A as area of hole and container∴ α=2agA

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A container having a hole at the bottom is free to move on a horizontal surface. As the liquid comes out, the container with an acceleration α and finally acquires a velocity v ( when the liquid has drained out). Neglect the mass of container. The correct option out of the following is: