A uniform copper rod of length 50 cm and diameter 3 mm is kept on a frictionless horizontal surface at 20- C- The coefficient of linear expansion of copper is 2 - 10-5- C -1 and Young-s modulus is 1-2 - 1011 N - m 2- The copper rod is heated to 100- C- Then- the tension developed in the copper rod isA- 12 - 103 NB- 18 - 103 NC- ZeroD- 36 - 103 N

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Standard XII

Physics

Thermal Expansion

A uniform cop...

Question

A uniform copper rod of length $50 cm$ and diameter $3 mm$ is kept on a frictionless horizontal surface at $20^{\circ} C$ . The coefficient of linear expansion of copper is $2 \times 10^{- 5}^{\circ} C^{- 1}$ 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

12 \times 10^{3} N

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36 \times 10^{3} N

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18 \times 10^{3} N

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Zero

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Solution

The correct option is D Zero
As the rod is not bounded at the ends, therefore there is no stress to counter the expansion. Hence, no tension in the rod.

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Thermal Expansion

Standard XII Physics

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The correct option is D ZeroAs the rod is not bounded at the ends, therefore there is no stress to counter the expansion. Hence, no tension in the rod.

The correct option is D Zero
As the rod is not bounded at the ends, therefore there is no stress to counter the expansion. Hence, no tension in the rod.