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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

`28.9` cc

B

`2.89` cc

C

`9.28` cc

D

`49.8` cc

Text Solution

Verified by Experts

The correct Answer is:
A
`DeltaV = V_(0)(3alpha)Deltatheta`
=`(4)/(3)(3.14)(10)^(3)[3 xx 23 xx 10^(-6)][100-0]`
=`28.9` cc
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Knowledge Check

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    First increases till `4^(@)C` and then decreases
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