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10-1.Thermometry, Thermal Expansion and Calorimetry
normal
If the volume of a block of metal changes by $0.12\%$ when it is heated through $20^o\,C$, the coefficient of linear expansion (in per $^oC^{-1}$) of the metal is :-
A
$10^{-5}$
B
$2 \times 10^{-5}$
C
$3 \times 10^{-5}$
D
$5 \times 10^{-5}$
Solution
$\gamma=\frac{\Delta \mathrm{V}}{\mathrm{Vt}}$
Given $\frac{\Delta \mathrm{V}}{\mathrm{V}}=0.12 \%$ or $0.0012$
$\gamma=\frac{0.0012}{20}=6 \times 10^{-5}/^{\circ} {C}$
since $\alpha=\frac{\gamma}{3}=2 \times 10^{-5} /^{\circ} \mathrm{C}$
Standard 11
Physics
