First slide

Thermal expansion

Question

Coefficient of cubical expansion of a solid is (0.000027/°C). If the temperature is measured on Fahreheit scale, numerical value of coefficient of linear expansion of solid is

Easy

A

0.000009/°F
B

0.000005/°F
C

0.000015/°F
D

0.000018/°F

Solution

Given that $\large \gamma_c=\frac 95\gamma_f\Rightarrow 27\times 10^{-6}=\frac 95 \gamma_f$
$\large \gamma_f=15\times 10^{-6}/^0F$ ; we have γ = 3α
$\large \alpha_F=\frac {\gamma_F}{3}=\frac {15\times 10^{-6}}{3}=5\times 10^{-6}/^0 F$
$\large \alpha_F=0.000005/^0F$

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