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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` assuming `alpha` is constant during the temperature change `(e =2.7)`. Which of the following statements are true

A

Final length of the rod is greater than 2L.

B

Final length of the rod is greater than 2.5 L

C

Final length of the rod is greater then 3L

D

increase in the length due to heating is L

Text Solution

Verified by Experts

The correct Answer is:
A, B
`alpha=(1)/(L)(dL)(dT)`
`int10^(-3)dT=int(dL)/(L)`
`L_(f)=2.7L`
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