Volume of a metal sphere increases by 0.24% when its temperature is raised by 40°C . coefficient

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10-1.Thermometry, Thermal Expansion and Calorimetry

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The volume of a metal sphere increases by $0.24\%$ when its temperature is raised by $40°C$. The coefficient of linear expansion of the metal is .......... $°C$

A

$2 \times 10^{-5}$

B

$6 \times 10^{-5}$

C

$2.1 \times 10^{-5}$

D

$1.2 \times 10^{-5}$

Solution

(a) $\gamma = \frac{{\Delta V}}{{V.\Delta T}} = \frac{{0.24}}{{100 \times 40}} = 6 \times {10^{ – 5}}°C^{-1}$

$\Rightarrow$ $\alpha = \frac{\gamma }{3} = 2 \times {10^{ – 5}}°C^{-1}$

Standard 11

Physics

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