A steel rod of length $1 m$ rests on a smooth horizontal base. If it is heated from $0^{\circ} C t o 100^{\circ} C$ , what is the longitudinal strain developed? Coefficient of linear expansion of iron $= 12 \times 10^{- 6} /^{\circ} C$

12 \times 10^{- 4}

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12 \times 10^{- 3}

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8.33 \times 10^{- 4}

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No strain is developed

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Solution

The correct option is D No strain is developed
As steel rod is on smooth horizontal base, there is no external force in the horizontal direction, i.e., neither the friction or gravity. So, no strain or stress will be created and rod is free to move.

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