A rod of length 2 m rests on smooth horizontal floor. If the rod is heated from 0 ∘ C to 2 0 ∘ C . Find the longitudinal strain developed? ( α = 5 × 1 0 − 5 / ∘ C )

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PhysicsElasticityMiscellaneousEasy2 minQB

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A rod of length $2 m$ rests on smooth horizontal floor. If the rod is heated from $0^{\circ} C$ to $2 0^{\circ} C$ . Find the longitudinal strain developed? ( $α = 5 \times 1 0^{- 5} /^{\circ} C$ )

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Answer:

Solution:

The rod is free to expand on a smooth floor, so there is no constraint.

No stress is developed. So the strain developed (stress-producing strain) is zero.

(The rod does expand by $α Δ T = 1 0^{- 3}$ freely, but that is thermal expansion, not strain from stress.)

Stream:JEESubject:PhysicsTopic:ElasticitySubtopic:Miscellaneous

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