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Two vertical glass tubes filled with a liquid are connected by a capillary tube as shown in the figure. The tube on the left is put in an ice bath at 0°C while the tube on the right is kept at 30°C in a water bath. The difference in the levels of the liquid in the two tubes is 4 cm while the height of the liquid column at 0°C is 120 cm. The coefficient of volume expansion of liquid is (Ignore expansion of glass tube). $x \times 10^{- 4} / C^{0}$ , then the value of x is

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answer is 11.11.

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Detailed Solution

$ρ . g \times 120 = \frac{ρ}{(1 + γ Δ T)} g \times 124$

$1 + γ Δ T = \frac{124}{120}$

$γ Δ T = \frac{4}{120} \Rightarrow γ = \frac{4}{120 \times 30} = 11.11 \times 10^{- 4} /^{0} C$

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