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A solid with coefficient of linear expan...

A solid with coefficient of linear expansion `aplha` just floats in a liquid whose coefficient of volume expansion is `gamma` . If the system is heated, the solid will

A

sink in all cases

B

continue to float in all cases

C

sink if `gammagt3alpha`

D

sink if`gammalt3alpha`

Text Solution

Verified by Experts

The correct Answer is:
C
`F_(B)=p_(0)V_(0)g`
`F'_(B)=(p_(0)V_(0)(1+3alphatheta)g)/((1+gammatheta))=((1+3alphatheta)/(1+gammatheta))p_(0)V_(0)g`
`Ifgammagt3alpha` , upthrust decreases
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