Two vessels A and B of different shapes have the same base area and are filled with water upto the same height as shown. The force exerted by water on the base is $F_{A}$ for vessel A and $F_{B}$ for vessel B. The respective weights of the vessel are $W_{A}$ and $W_{B}$ . Then

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$F_{A} > F_{B} a n d W_{A} = W_{B}$

$F_{A} = F_{B} a n d W_{A} > W_{B}$

$F_{A} = F_{B} a n d W_{A} < W_{B}$

$F_{A} > F_{B} a n d W_{A} > W_{B}$

answer is B.

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Detailed Solution

$P_{A} A_{A} = P_{B} A_{B} (∵ P_{A} = P_{B} = h ρ g & A_{A} = A_{B}) F_{A} = F_{B} - - - (1) W_{A} > W_{B} a s m o r e m a s s i s p r e s e n t i n A t h a n B$

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