Q.

A rectangular vessel of dimension (/ x b x h) and mass M contains a liquid of density p. The vessel has an orifice at its bottom at a distance c from the rear wall as shown in the figure.

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a

Force F that must be applied when maximum water stored is M+hcbρ2hgc

b

The maximum volume of the water that can be stored when the vessel is accelerated is hlb/2.

c

The maximum volume of the water that can be stored when the vessel is accelerated is hcb/2.

d

Force F that must be applied when maximum water stored is M+hcbρ2lgc

answer is A, C.

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Detailed Solution

The maximum amount of water that can be retained is shown in the figure. If θ is the angle made by the water surface with the horizontal, then

tanθ=hc=aga=hgc
So the maximum volume that can be retained is (1/2) x h x c x b and, F=M+hcbρ2hgc

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