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 $



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