First slide

Thermal expansion

Question

In an experiment to find the coefficient of real expansion of Hg, 70cm coloumn of Hg at $0^{0} C$ is found to balance 71.26c, coloumn of Hg at $100^{0} C$ . $γ_{R}$ of mercury is $n \times 10^{- 6} /^{0} C$ where n=

Moderate

A

180
B

0.18
C

1.8
D

0.018

Solution

$c o e f f i c i e n t o f r e a l e x p a n s i o n o f l i q u i d i s γ_{R} = \frac{h_{2} - h_{1}}{h_{1} Δ t} h_{2} = 71.26 c m, h_{1 =} 70 c m a r e h e i g h t s o f l i q u i d i n m a n o m e t e r; Δ t = 100 i s c h a n g e i n t e m p e r a t u r e γ_{R} = \frac{71.26 - 70}{70 \times 100} γ_{R} = \frac{1.26}{70 \times 100} = 0.18 \times 10^{- 3} γ_{R} = 180 \times 10^{- 6} ∴ n = 180$

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