A piece of metal weighs 46 g in air and 30 g in lipuid of density `1.24 xx 10^3 kg m^(-3)` kept at `27^0C`. When the temperature of the liquid is raised to `42^0C` the metal piece weights 30.5 g . The density of the liqued at `42^0 C` is `1.20 xx 10^3 kg m^(-3)`. Calculate the coefficient of linear expandsion of the metal.

Options

A. `2.4xx10^(-5@C)C`
B. `3.4xx10^(-5@)C`
C. `2.9xx10^(-5@)C`
D. `24xx10^(-5@)C`

Answer

A

Explanation

`m_(1) - m_(2) = V_(1)rho_(1) , m_(1) - m_(3) = V_(2)rho_(2)`
`V_(2) = V_(1)(1 + gammaDeltat)`