Properties Of Solids And Liquids Question 484

Question: Density of substance at 0°C is 10 gm/cc and at 100°C, its density is 9.7 gm/cc. The coefficient of linear expansion of the substance will be [BHU 1996; Pb. PMT 1999; DPMT 1998, 2003]

Options:

A) 102

B) 10?2

C) 10?3

D) 10?4

Show Answer

Answer:

Correct Answer: D

Solution:

Coefficient of volume expansion $ \gamma =\frac{\Delta \rho }{\rho .\Delta T}=\frac{({\rho _{1}}-{\rho _{2}})}{\rho .(\Delta \theta )}=\frac{(10-9.7)}{10\times (100-0)}=3\times {{10}^{-4}} $

Hence, coefficient of linear expansion $ \alpha =\frac{\gamma }{3}={{10}^{-4}}/{}^\circ C $



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