1.

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

Answer» Correct Answer - D
The coefficient of volume expansion is given by
`gamma = (Delta rho)/(rho_(1)xxDelta T)`
where `rho_(1)` is density. `T` is temperature
`gamma = (rho_(1)-rho_(2))/(rho_(1)(T_(2)-T_(1)))`
`=(10-9.7)/(10(100-0)) = 3xx10^(-4)`
Coefficient of linear expansion is
`alpha = (gamma)/(3) = (3xx10^(4))/(3) = 10^(-4)`.


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