Properties Of Solids And Liquids Question 420
Question: The density of steel at $ 0 {}^\circ C $ is 8.0 g/cc. At what temperature is density lesser by 0.1%? Coefficient of linear expansion of steel is $ 1{{0}^{-5}} /{}^\circ C $ .
Options:
A) $ 37.2{}^\circ C $
B) $ 33.3{}^\circ C $
C) $ 55.4{}^\circ C $
D) $ 40.2{}^\circ C $
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Answer:
Correct Answer: B
Solution:
[b] $ \rho =\frac{{\rho _{0}}}{1+\gamma \Delta \theta }\cong {\rho _{0}}( 1-\gamma \Delta \theta );\frac{\Delta \rho }{\rho }=-\gamma \Delta \theta $
$ \frac{1}{100}=3\times {{10}^{-5}}\Delta \theta ;\Delta \theta =\frac{100}{3}={{33.3}^{o}}C $
