A metal tape is calibrated at 25 ° C . On a cold day when the temperature is - 15 ° C , the percentage error in the measurement of length is (Coefficient of linear expansion of metal = 1 × 10 - 5 C - 1 ∘ )

Question

A metal tape is calibrated at 25 ° C . On a cold day when the temperature is - 15 ° C , the percentage error in the measurement of length is (Coefficient of linear expansion of metal = 1 × 10 - 5 C - 1 ∘ ), 0 . 04 %, 0 . 05 %, 0 . 1 %, 0 . 08 %

MARKS App · Accepted Answer

Length of the steel tape can be written as, L = L 0 1 + α ( T - 25 ° ) Now, percentage error in measurement can be written as, ∆ L L × 100 % = α ( T - 25 ° ) × 100 = 1 × 10 - 5 - 15 ° - 25 ° × 100 = 0 . 04 %

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