A uniform copper rod of length 50 ,cm and diameter 3.0 ,mm is kept on a frictionless horizontal surf

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8.Mechanical Properties of Solids

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A uniform copper rod of length $50 \,cm$ and diameter $3.0 \,mm$ is kept on a frictionless horizontal surface at $20^{\circ} C$. The coefficient of linear expansion of copper is $2.0 \times 10^{-5} \,K ^{-1}$ and Young's modulus is $1.2 \times 10^{11} \,N / m ^2$. The copper rod is heated to $100^{\circ} C$, then the tension developed in the copper rod is .......... $\times 10^3 \,N$

A

$12$

B

$36$

C

$18$

D

$0$

Solution

(d)

Since the rod is not bounded, No compressive stress hence no tensions

Standard 11

Physics

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(JEE MAIN-2023)