Question

The density of a substance at ${20}^{0}Cand{120}^{0}C$ are $1.1g/ccand1g/cc$ respectively. The coefficient of cubical expansion of the solid is.

• A. $\frac{0.001}{{}^{0}C}$
• B. $\frac{0.002}{{}^{0}C}$
• C. $\frac{0.003}{{}^{0}C}$
• D. $\frac{0.004}{{}^{0}C}$

Answer 1

The correct option is A $\frac{0.001}{{}^{0}C}$

Initial density $d_1=1.1gm/c.c$
Final density $d_2=1gm/c.c$.
Initial temperature $t_1={20}^{\circ }C$
Final temperature $t_2={120}^{\circ }C$
From, $\gamma =\frac{d_1-d_2}{d_2(t_2-t_1)}$
$=\frac{1.1-1}{1(120-20)}=\frac{0.1}{100}=0.001$
$\therefore \gamma =0.001{/}^{\circ }C$