Q.

A solid hemisphere of radius R immersed into a liquid of density ρ. If the hemisphere is at a depth R, then force exerted by liquid on the flat surface of the hemisphere, is (ignore atmospheric pressure)
 

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a

43πR3ρg

b

53πR3ρg

c

πR3ρg

d

2πR3ρg

answer is B.

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Detailed Solution

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The force exerted on the surface will be the pressure times the area of the flat surface

F=PπR2=(ρgR)πR2

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A solid hemisphere of radius R immersed into a liquid of density ρ. If the hemisphere is at a depth R, then force exerted by liquid on the flat surface of the hemisphere, is (ignore atmospheric pressure)