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Question: Answered & Verified by Expert
An iron bar of length $10 \mathrm{~m}$ is heated from $0^{\circ} \mathrm{C}$ to $100^{\circ} \mathrm{C}$. If the coefficient of linear thermal expansion of iron is $10 \times 10^{-6} /{ }^{\circ} \mathrm{C}$, the increase in the length of bar is
PhysicsThermal Properties of MatterJEE Main
Options:
  • A $0.5 \mathrm{~cm}$
  • B $1.0 \mathrm{~cm}$
  • C $1.5 \mathrm{~cm}$
  • D $2.0 \mathrm{~cm}$
Solution:
2953 Upvotes Verified Answer
The correct answer is: $1.0 \mathrm{~cm}$
Increase in length $\Delta L=L_0 \propto \Delta \theta$
$=10 \times 10 \times 10^{-6} \times(100-0)=10^{-2} \mathrm{~m}=1 \mathrm{~cm}$

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