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Question

If αc and αf denote the numerical values of coefficient of linear expansion of a solid, expressed per 0C and per 0F respectively, then:

A
αc>αf
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B
αf>αc
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C
αf=αc
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D
αf+αc=0
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Solution

The correct option is A αc>αf
α=change in length(original length)×(change in temperature)
Now, in centigrade scale, the change of temperature will be less than that of in Fahrenheit scale. For a change of 5 degree in centigrade scale there is a change of 9 degree in Fahrenheit scale. So, coefficient of linear expansion of a solid, expressed centigrade scale will be more than that of Fahrenheit scale.

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