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An aluminium sphere of 20cm diameter is ...

An aluminium sphere of `20cm` diameter is heated from `0^(@)C` to `100^(@)C`. Its volume changes by (given that the coefficient of linear expanison for aluminium `(alpha_(Al) = 23 xx 10^(-6//0)C)`

A

`2.89 c c`

B

`9.28 c c`

C

`49.8 c c`

D

`28.9 c c`

Text Solution

Verified by Experts

The correct Answer is:
D

`Deltav = v_(0) (3 alpha) DeltaT`
`= (4)/(3) pi(10)^(3) xx3xx23 xx 10^(-6) xx 100`
`Deltav = 28.9 c c`.
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