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.
