Questions

A wheel is $80.3cm$  in circumference. Its iron tyre measures 80cm around its inner face. If the coefficient of linear expansion for iron is $12×{10}^{-6}{/}^{0}C$ , the temperature of the tyre must be raised by

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
a
1050C
b
2230C
c
312.50C
d
4170C
NEW

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

detailed solution

Correct option is C

coefficient of linear expansion of solid is 80 cm ; Δt is change in temperature α=ΔllΔt ⇒Δt=Δllα substitute given values in above equation Δt=0.380×12×10−6 Δt=18×4×10−4 Δt=100×1008×4=6252=312.50C=temperature of tyre must be raised

Similar Questions

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

Get your all doubts cleared from
Sri Chaitanya experts

+91