Properties Of Solids And Liquids Question 467
Question: A vertical column 50 cm long at 50°C balances another column of same liquid 60 cm long at 100°C. The coefficient of absolute expansion of the liquid is [EAMCET 1990]
Options:
A) 0.005/°C
B) 0.0005/°C
C) 0.002/°C
D) 0.0002/°C
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Answer:
Correct Answer: A
Solution:
$ \frac{h _{1}}{h _{2}}=\frac{{\rho _{1}}}{{\rho _{2}}}=\frac{(1+\gamma {\theta _{1}})}{(1+\gamma {\theta _{2}})} $
$ [ \because \rho =\frac{{\rho _{0}}}{(1+\gamma \theta )} ] $
therefore $ \frac{50}{60}=\frac{1+\gamma \times 50}{1+\gamma \times 100} $
therefore $ \gamma =0.005/{}^\circ C $
BETA
