A vertical column of a certain liquid, 50 c m long at 50 o C balances another column of the same liquid, 60 c m long at 100 o C . The coefficient of absolute expansion of the liquid is

Question

A vertical column of a certain liquid, 50 c m long at 50 o C balances another column of the same liquid, 60 c m long at 100 o C . The coefficient of absolute expansion of the liquid is, 0.005 / o C, 0.0005 / o C, 0.002 / o C, 0.0002 / o C

MARKS App · Accepted Answer

h 1 g ρ 1 = h 2 g ρ 2 h 1 h 2 = ρ 2 ρ 1 = 1 + γ θ 1 1 + γ θ 2 ∵ ρ = ρ 0 1 + γ θ ⇒ 50 60 = 1 + γ × 50 1 + γ × 100 ⇒ γ = 0.005 / o C

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