Chapter 10 - Temperature and Kinetic Theory - Learning Path Questions and Exercises - Exercises - Page 384: 37

Fraction error : $0.6\times 10^{-3}m$ Percentage error: $0.06$

We know that the fraction error is given as $\frac{\Delta L}{L}=\frac{L\alpha \Delta T}{L}=\alpha \Delta T$ We plug in the known values to obtain: $\frac{\Delta L}{L}=25\times 24\times 10^{-6}=0.6\times 10^{-3}m$ and the percentage error is $\frac{0.6\times 10^{-3}\times 100}{100}=0.06 \%$