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A metal rod lenth L(0) whose coefficient...

A metal rod lenth `L_(0)` whose coefficient of linear expansion `alpha = 10^(-3) ^(0)C^(-1)` is heated such that its temperature changes by `1000K` assum-ing `alpha` is constant during the temperature change `(e =2.7)`

A

Final length of the rod is greater than `2L_(0)`

B

Final length of the rod is greater than `2.5L_(0)`

C

Final length of the rod is greater than `3L_(0)`

D

increase in length of rod is `L_(0)`

Text Solution

Verified by Experts

The correct Answer is:
A, B
`dL = alphaLdt`
`int_(L_(0))^(L)(dL)/(L)=int_(0)^(T)alphadt`
`L = L_(0)e^(alphaT) = 2.7L_(0)`
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