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A 2 m long Al pipe at 27^(@)C is heated ...

A 2 m long Al pipe at `27^(@)C` is heated until it is 2.0024 m , at `77^(@)C`. The coefficient of linear expension of Al is

A

`2.4 xx 10^(-5//@)C`

B

`1.4 xx 10^(-5//@)C`

C

`2.4 xx 10^(-3//@)C`

D

`1.4 xx 10^(-3//@)C`

Text Solution

Verified by Experts

The correct Answer is:
A
Coefficient of linear expansion,
`alpha=(l_(2)-l_(1))/(l_(1)(t_(2)-t_(1))`
`alpha = (2.0024-2)/(2(77-27))`
`alpha = 0.024 xx 10^(-3)`
`therefore alpha = 2.4 xx 10^(-5//@)C`
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