A sheet of brass is 50 cm long and 10 cm broad at `0^(@)C`. The area of the surface increases by `1.9 cm^(2)` at `100^(@)C`. Find the coefficient of linear expansion of bras.

Explanation

`because DeltaA = A beta Delta T `
`beta = (Delta T)/(A DeltaT) = (1.9)/(500 xx 100) = 3.8 xx 10^(-5) ""^(@) C^(-1)`
`therefore alpha = (beta)/(2) = (3.8 xx 10^(-5))/(2) = 1.9 xx 10^(-15) ""^(@) C^(-1)`