Properties Of Solids And Liquids Question 410
Question: The length of a metallic rod is 5 m at $ 0{}^\circ C $ and becomes 5.01 m, on heating up to$ 100{}^\circ C $ . The linear expansion of the metal will be
Options:
A) $ 2.33\times {{10}^{-5}}/{}^\circ C $
B) $ 6.0\times {{10}^{-5}}/{}^\circ C $
C) $ 4.0\times {{10}^{-5}}/{}^\circ C $
D) $ 2.0\times {{10}^{-5}}/{}^\circ C $
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Answer:
Correct Answer: D
Solution:
[d] $ \ell =5m t _{1}=0{}^\circ C $
$ {\ell _{2}}= 5.01m t _{2}=100{}^\circ C $
$ \alpha =\frac{{\ell _{2}}-{\ell _{1}}}{{\ell _{1}}( t _{2}-t _{1} )}=\frac{5.01-5}{5\times 100}=2\times {{10}^{-5}}{{/}^{o}}C $ .
