Coefficient of cubical expansion of a solid is $(0. (100027 /^{o} C)$ . If the temperature is measured on Fahrenheit scale, numerical value of coefficient of linear expansion of solid is :

0.000009 /^{o} F

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0.000005 /^{o} F

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0.000015 /^{o} F

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0.000018 /^{o} F

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Solution

The correct option is B $0.000005 /^{o} F$
Coefficient of cubical expansion

$γ = 0.000027 /^{\circ} C$

Coefficient of linear expansion

$α = \frac{γ}{3} = 0.000009 /^{\circ} C$

Formula for degree Celsius and Fahrenheit conversion

$\frac{C}{5} = \frac{F - 32}{9}$

So value of coefficient of linear expansion in Fahrenheit scale

$α = \frac{0.000009 \times 5}{9}$

$α = 0.000005 /^{\circ} F$

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Coefficient of cubical expansion of a solid is (0.(100027/oC). If the temperature is measured on Fahrenheit scale, numerical value of coefficient of linear expansion of solid is :

The correct option is B 0.000005/oFCoefficient of cubical expansion γ=0.000027/∘C Coefficient of linear expansion α=γ3=0.000009/∘C Formula for degree Celsius and Fahrenheit conversion C5=F−329 So value of coefficient of linear expansion in Fahrenheit scale α=0.000009×59 α=0.000005/∘F

Coefficient of cubical expansion of a solid is $(0. (100027 /^{o} C)$ . If the temperature is measured on Fahrenheit scale, numerical value of coefficient of linear expansion of solid is :