Question

The density of substance at $0^{o}C$ is $10$g/e.c. and at ${100}^{o}C$ its density is $9.7g/c.c$. The coefficient of linear expansion of the substance is.

• A. ${10}^{-4}{/}^{o}C$
• B. $3\times {10}^{-4}{/}^{o}C$
• C. $6\times {10}^{-4}{/}^{o}C$
• D. $9\times {10}^{-4}{/}^{o}C$

Answer 1

The correct option is A ${10}^{-4}{/}^{o}C$

Given, $Density,d_1=10g,t={100}^{0}C,d_2=9.7g$

We know that density is equal to the mass is divided by the volume,

So, The formula of thermal expansion.

$d=d_0(1+3a\times \Delta T)\Rightarrow 9.7=\frac{10}{1+3a\times (100-0)}\Rightarrow 9.7=\frac{10}{1+300a}\Rightarrow 9.7+2910a=10\Rightarrow a=0.00010$

$={10}^{-4}C$