# Thermal expansion

## Unlock the full solution & master the concept.

Get a detailed solution and exclusive access to our masterclass to ensure you never miss a concept
By Expert Faculty of Sri Chaitanya
Question

# A surveyor’s 30 m steel tape is correct at a temperature of 20°C. The distance between two points, as measured by this tape on a day when the temperature is 35°C, is 26 m. What is the true distance between the points?

Easy
Solution

## Let temperature above the correct temperature be (Using the relation)Correct length = measured length$\left(1+\mathrm{\alpha \theta }\right)$True distance between the points = 26(1+ 1.2 x10-5 X1.5)

NEW

Check Your Performance Today with our Free Mock Tests used by Toppers!

+91

Are you a Sri Chaitanya student?

The coefficient of linear expansion of brass and steel are ${\mathrm{\alpha }}_{1}$ and ${\alpha }_{2}$. If we take a brass rod of length ${l}_{1}$ and steel rod of length ${l}_{\mathit{2}}$ at 0oC, their difference in length $\left({l}_{2}-{l}_{1}\right)$will remain the same at all temperatures if