An aluminium measuring tape which is correct at 100∘C measures the length of a line as 80 cm at 50∘. If thermal coefficient of linear expansion of aluminium is of 2.50×10−5per∘C 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+(2.5×10−5)(−50)) 80=L0(0.99875) L0= 80.1 cm