11.6 A steel tape 1m long is correctly calibrated for a temperature of 27.0 °C. The length of a steel rod measured by this tape is found to be 63.0 cm on a hot day when the temperature is 45.0 °C. What is the actual length of the steel rod on that day ? What is the length of the same steel rod on a day when the temperature is 27.0 °C ? Coefficient of linear expansion of steel = 1.20 * 10^–5 K^–1 .

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Payal Gupta | Contributor-Level 10

8 months ago

11.6 Length of the steel tape, l = 1 m = 100 cm, At temperature T = 27 $°$ C

Coefficient of linear expansion of steel $α$ = 1.2 $* 10^{- 5}$ / K

Let $l_{1} = 63 c m$ be the length of the steel rod at temperature $T_{1}$ = 45.0 °C and

$l_{2}$ be the length of the steel rod and l' be the length of the steel tape at 45.0 °C

We have l' = l + $α l (T_{1} - T)$ = 100 + 1.2

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