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A hollow metal sphere is found to float ...

A hollow metal sphere is found to float in water with the highest point just touching the free surface of water. If `d` is the density of the metal in cgs units, the fraction that represents the volume of the hollow in terms of the volume of the sphere is

A

`(1)/(d)`

B

`(1-(1)/(d))`

C

`(d)/((d-1))`

D

`(1+(1)/(d))`

Text Solution

Verified by Experts

The correct Answer is:
B
`(V_("cavity"))/(V_(s))=(V_(s)-V_("metal"))/(V_(s))=1-(V_("metal"))/(V_(s))=1-(d_(w))/(d)`
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