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Coefficient of cubical expansion of a solid is $27 \times 10^{- 6} /^{0} C$ if the temperature is measured on Fahrenheit scale, numerical value of coefficient of linear expansion of solid is

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$5 \times 10^{- 6} /^{0} F$

$9 \times 10^{- 6} /^{0} F$

$15 \times 10^{- 6} /^{0} F$

$18 \times 10^{- 6} /^{0} F$

answer is B.

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Detailed Solution

$γ_{c} = 27 \times 10^{- 6} /^{0} C 3 α_{c} = 27 \times 10^{- 6} /^{0} C α_{c} = 9 \times 10^{- 6} /^{0} C α_{F} = \frac{5}{9} α_{c} = \frac{5}{9} \times 9 \times 10^{- 6} /^{0} C = 5 \times 10^{- 6} /^{o} C$

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