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Q.

A metal tape gives correct measurement at 15^oC. It is used to measure a distance of 100m at 450 ${}^{0}c$ . The error in the measurement, if $α$ = 12 x 10^-6 /1^oC is

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a

36 cm

b

36 m

c

42 mm

d

36 mm

answer is D.

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Detailed Solution

Error = $αl$ (t₂ - t₁)
= 12 x 10^-6 (100)(45 - 15) = 36 mm

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