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Questions  

A rectangular vessel of dimension (l × b × h) and mass M contains a liquid of density ρ. The vessel has a orifice at its bottom at a distance c from the rear wall as shown in fig.

a
The maximum volume of the water that can be stored when the vessel is accelerated  is  hcb 2
b
The maximum volume of the water that can be stored the when the vessel is accelerated is  hlb 2
c
Force F that must be applied when maximum water is stored is M+hcbρ2hgc
d
Force F that must be applied when maximum water is stored is M+ hcb ρ2 Ig  c

detailed solution

Correct option is A

The maximum amount of water that can be retained is shown in the fig. If θ is the angle made by the water surface with the horizontal then.tan⁡θ=hc=ag ⇒a=hgcSo the maximum volume that can be retained is 12×h×c×bAnd F=M+hcbρ2hgc

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