Properties Of Solids And Liquids Question 418

Question: A steel rod of length 1 m is heated from $ 25{}^\circ C $ to $ 75{}^\circ C $ keeping its length constant. The longitudinal strain developed in the rod is (Given: Coefficient of linear expansion of steel $ =12\times {{10}^{-6}}/{}^\circ C $ )

Options:

A) $ 6\times {{10}^{-6}} $

B) $ -6\times {{10}^{-5}} $

C) $ -6\times {{10}^{-4}} $

D) zero

Show Answer

Answer:

Correct Answer: B

Solution:

[c] Strain developed $ \varepsilon =\alpha \Delta T=(12\times 1{{0}^{-6}})(50)=6\times 1{{0}^{-4}} $ .

Strain will be negative, as the rod is in a compressed state.



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