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Question

An aluminium measuring tape which is correct at 100C measures the length of a line as 80 cm at 50. If thermal coefficient of linear expansion of aluminium is of 2.50×105 perC the correct length of the line is

A
79.92 cm
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B
79.68 cm
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C
80.08cm
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D
80.32 cm
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Solution

The correct option is C 80.08cm
L=L0(1+α0δ(T))
80=L0(1+(2.5×105)(50))
80=L0(0.99875)
L0= 80.1 cm

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