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

Options

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

Answer

A, B

Explanation

`alpha=(1)/(L)(dL)(dT)`
`int10^(-3)dT=int(dL)/(L)`
`L_(f)=2.7L`