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Q.

A hollow metallic sphere with internal and external radii r1 and r2 respectively floats on the surface of liquid. The density of liquid is ρ1 and density of material of sphere is ρ2.What fraction of the sphere is inside the liquid?

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a

1-r13r23ρ2ρ1

b

1-r13r23ρ1ρ2

c

1+r13r23ρ2ρ1

d

1+r23r13ρ1ρ2

answer is A.

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Detailed Solution

VEFFρ2g=Vin liqρ1g 4πr32-r31ρ2g3=Vinρ1g vf=vinv=r32-r31ρ2r32ρ1
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A hollow metallic sphere with internal and external radii r1 and r2 respectively floats on the surface of liquid. The density of liquid is ρ1 and density of material of sphere is ρ2.What fraction of the sphere is inside the liquid?