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Q.

If a vessel containing a fluid of density ρ upto height h is accelerated vertically downwards with acceleration ao then the pressure by fluid at the bottom of vessel is: (Atmosphere pressure = P0)

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a

P=Po+ρgh+hao

b

P=Po +ρgh

c

P=Po+ρh(g-ao)

d

P=Po- ρgh

answer is C.

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Detailed Solution

The vessel is non-inertial frame of reference. so upward inertia force acts on water in the vessel.P - P0 = ρh(g - a0) ⇒ P = P0 + ρh(g - a0)
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If a vessel containing a fluid of density ρ upto height h is accelerated vertically downwards with acceleration ao then the pressure by fluid at the bottom of vessel is: (Atmosphere pressure = P0)