The coefficient of linear expansion of a metal rod is 12 -10-6 - 0C- The value in per 0F

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Standard XII

Physics

Thermal Expansion

The coefficie...

Question

The coefficient of linear expansion of a metal rod is $12 \times 10^{- 6}$ / $^{0}$ C. The value in per $^{0}$ F

\frac{20}{3} \times 10^{- 6} /^{0} F

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\frac{15}{4} \times 10^{- 6} /^{0} F

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21.6 \times 10^{- 6} /^{0} F

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12 \times 10^{- 6} /^{0} F

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Solution

The correct option is A $\frac{20}{3} \times 10^{- 6} /^{0} F$
Coefficient of thermal expansion = Change in length / (original length X change in temperature)
So, $α_{c} / α_{F}$ = Change in temp in Fahrenheit / change in temp in centigrade
Or $α_{F} = α_{C} (c h a n g e i n T_{C} / c h a n g e i n T_{F})$
= $α_{C} (c h a n g e i n T_{C} / (9 / 5) c h a n g e i n T_{C})$
= $α_{C} \times (5 / 9)$
= $(20 / 3) \times 10^{- 6}$

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The coefficient of linear expansion of a metal rod is 12×10−6 / 0C. The value in per 0F

The coefficient of linear expansion of a metal rod is $12 \times 10^{- 6}$ / $^{0}$ C. The value in per $^{0}$ F