Question

A steel scale is correct at `0^(@)C`. The length of a brass tube measured by it at `40^(@)C` is `4.5m`. The correct length of the tube at `0^(@)C` is (Coefficients of linear expansion of steel and brass are `11 xx 10^(-6//@)C` and `19 xx 10^(-6//@)C` respectively).
A. `4.001 m`
B. `5.001 m`
C. `4.999 m`
D. `4.501 m`

Answer 1

Correct Answer - D
`l_(c) = l_(m) [1 + (alpha_(S) ~ alpha_(b))(t_(2) - t_(1))]`