Properties Of Solids And Liquids Question 488
Question: The volume of a metal sphere increases by 0.24% when its temperature is raised by 40°C. The coefficient of linear expansion of the metal is ………. °C [Kerala PMT 2005]
Options:
A) 2 ´ 10?5
B) 6 ´ 10?5
C) 2.1 ´ 10?5
D) 1.2 ´ 10?5
Show Answer
Answer:
Correct Answer: A
Solution:
$ \gamma =\frac{\Delta V}{V.\Delta T}=\frac{0.24}{100\times 40}=6\times {{10}^{-5}}/{}^\circ C $
therefore $ \alpha =\frac{\gamma }{3}=2\times {{10}^{-5}}/{}^\circ C $