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 $
