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Question

Physics Question on mechanical properties of fluid

A sphere of solid material of relative density 9 has a concentric spherical cavity and sinks in water. If the radius of the sphere be R, then the radius of the cavity (r) will be rriated to R as

A

r3=89R3r^3=\frac{8}{9}R^3

B

r3=23R3r^3=\frac{2}{3}R^3

C

r3=83R3r^3=\frac{\sqrt8}{3}R^3

D

r3=83R3r^3=\sqrt{\frac{8}{3}}R^3

Answer

r3=89R3r^3=\frac{8}{9}R^3

Explanation

Solution

Fh=Vimm×ρL×gF_h = V_{imm} \times \rho_L \times g