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 .
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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1 Answer
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11.6 Length of the steel tape, l = 1 m = 100 cm, At temperature T = 27 C
Coefficient of linear expansion of steel = 1.2 / K
Let be the length of the steel rod at temperature = 45.0 °C and
be the length of the steel rod and l’ be the length of the steel tape at 45.0 °C
We have l’ = l + = 100 + 1.2 (45-27) = 100.0216 cm
can be calculated as = = 63.0136 cm
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