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A solid sphere of radius R has a concent...

A solid sphere of radius `R` has a concentric cavity of radius '`R//2`' inside it. The sphere is found to just float in water with the highest point of it touching the water surface. The specific gravity of the material of the sphere is

A

1

B

`(7)/(8)`

C

`(8)/(7)`

D

`(8)/(9)`

Text Solution

Verified by Experts

The correct Answer is:
C
`(V_("cavity"))/(V_(S))=(V_(S)-V_("metal"))/(V_(S))=1-(V_("metal"))/(V_(S))=1-(d_(w))/(d)=1-(1)/(S.G)`
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