A steel tape Im 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 xx 10^(-5) K^(-1).

A steel tape Im long is correctly calibrated for a temperature of 27.0

1.	A steel tape Im 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 xx 10^(-5) K^(-1).
Answer» Solution :Actual LENGTH of the ROD at `45.0^(@) C = (63.0 + 0.0136) cm = 63.0136 cm`. (However, we should say that CHANGE in length up to three significant figures is` 0.0136` cm, but the TOTAL length is` 63.0 `cm, up to three significant places Length of the same rodat `27.0^(@) C = 63.0 `cm.