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The radius of a metal sphere at room tem...

The radius of a metal sphere at room temperature T is R, and the coefficient of linear expansion of the metal is `alpha`. The sphere is heated a little by a temperature `Delta T` so that its new temperature is `T+ Delta T`. The increase in the volume of the sphere is approximately

A

`2piRalphaDeltaT`

B

`piR^(2)alphaDeltaT`

C

`4piR^(3)alphaDeltaT // 3`

D

`4piR^(3)alphaDeltaT`

Text Solution

Verified by Experts

The correct Answer is:
D
`(DeltaV)/(V) = gammaDeltat`
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