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

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0.000018/°F

0.000009/°F

0.000005/°F

0.000015/°F

answer is B.

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Detailed Solution

Given that
$γ_{c} = \frac{9}{5} γ_{t} \Rightarrow 27 x 10^{- 6} = \frac{9}{5} γ_{f}$
$γ_{f} = 15 x 10^{- 6} /^{o} F;$ we have $γ = 3 α$
$α_{F} = \frac{γ_{F}}{3} = \frac{15 x 10^{- 6}}{3} = 5 x 10^{- 6} ∴ α_{F} = 0.000005 / ° F$

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