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Q.

A rectangular vessel of dimension  (l×b×h) and mass ‘M’ contains a liquid density ‘ρ’. 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+hcbρ2]hgc

b

Force ‘F’ that must be applied when maximum water stored is  [M+hcbρ2]lgc

c

The maximum volume of the water that can be stored when the vessel is accelerated is  hlb2

d

The maximum volume of the water that can be stored when the vessel is accelerated is  hcb2

answer is A, C.

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Detailed Solution

Acceleration of container, a=gtanθ  for maximum storage. a=ghc .

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