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10-1.Thermometry, Thermal Expansion and Calorimetry
normal
The volume of a metal sphere increases by $0.15\%$ when its temperature is raised by $24\,^oC$.The coefficient of linear expansion of metal is
A
$2.5\times10^{-5} /^oC$
B
$2.0\times10^{-5} /^oC$
C
$-1.5\times10^{-5} /^oC$
D
$1.2\times10^{-5} /^oC$
Solution
$\gamma=\frac{\Delta V}{V} \times \frac{1}{\Delta T}$
$\Rightarrow \quad 3 \alpha=\frac{0.15}{100} \times \frac{1}{24}$
$\Rightarrow \quad \alpha=\frac{0.15}{3} \times \frac{1}{24} \times \frac{1}{3}=2.0 \times 10^{-5} /^{\circ} \mathrm{C}$
Standard 11
Physics
