The density of a substance at `0^(@)C` is `10 g//c c` and at `100^(@)C`, its density is `9.7 g//c c`. The coefficient of linear expansion of the substance is

Options

A. `10^(-4)`
B. `10^(-2)`
C. `10^(-3)`
D. `10^(2)`

Answer

A

Explanation

Initial temperature ` (T_(1))=0^(@)C`
Initial density ` (rho_(1))=10 g//cc `
Final temperature ` (T_(2))=100^(@)C` and
Final density ` (rho_(2))=9.7 g //cc . `
Coefficient of volumetric expansion `(alpha_(v))=(Deltarho)/(rho_(1) xx DeltaT)`
` =(rho_(1)-rho_(2))/(rho_(1)(T_(2)-T_(1)))=(10-9.7)/(10(100-0))=(0.3)/(1000) = 3 xx 10^(-4)`