If volume of a block of metal changes by 0.12 % when it is heated thrugh 20^oC , coefficient of line

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10-1.Thermometry, Thermal Expansion and Calorimetry

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If the volume of a block of metal changes by $0.12 \%$ when it is heated thrugh $20^oC$, the coefficient of linear expansion (in $^oC^{-1}$) of the metal is

A

$10^{-5}$

B

$2 × 10^{-5}$

C

$3 × 10^{-5}$

D

$5 × 10^{-5}$

Solution

since, $\gamma=\frac{\Delta V}{V \Delta T}$av

$\Rightarrow \quad \gamma=\frac{0.12}{100} \times \frac{1}{20}$

$\Rightarrow \quad \gamma=6 \times 10^{-5} /^{0} C$

$\therefore \quad \alpha=\frac{\gamma}{3}$

$\Rightarrow \alpha=\frac{6 \times 10^{-5}}{3}$

$=2.0 \times 10^{-5} /^{0} \mathrm{C}$

Standard 11

Physics

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