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Q.

The three vessels shown in figure have same base area. Equal volumes of a liquid are poured in the three vessels. The Force on the base will be                              

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a

Maximum in vessel A

b

Maximum in vessel B

c

Maximum in vessel C

d

Equal in all the vessels

answer is C.

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Detailed Solution

Given that the three vessels A, B and C are filled with same liquid of same volume

m=ρlv

All three vessels have same base area but different shapes as shown.

We know P=FA×hhmghv=ρgh

The  pressure of liquid coloumn depends on h1andρ1andg .

Here we observe the height of liquid in three vessel is not same

hA<hB<hC

So the PA<PB<PC

We get pressure in vessel C is maximum.

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