A U-tube filled with a liquid of volumetric expansion coefficient 1 0 − 5 / ∘ C lies in a vertical plane. The height of liquid column in the left vertical limb is 100 cm. The liquid in the left vertic

Question

A U-tube filled with a liquid of volumetric expansion coefficient $1 0^{- 5} /^{\circ} C$ lies in a vertical plane. The height of liquid column in the left vertical limb is 100 cm. The liquid in the left vertical limb is maintained at a temperature $= 0^{\circ} C$ while the liquid in the right limb is maintained at a temperature $= 10 0^{\circ} C$ . The difference in levels in the two limbs is

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Answer:

A

Solution:

Equal bottom pressures give
$ρ_{0} h_{0} = ρ_{T} h_{T}$
$h_{T} = h_{0} (1 + γ Δ T)$
$Δ h = 100 \times 1 0^{- 5} \times 100$
$Δ h = 0.1 cm$

TestHub · Accepted Answer

Equal bottom pressures give ρ 0 ​ h 0 ​ = ρ T ​ h T ​ h T ​ = h 0 ​ ( 1 + γ Δ T ) Δ h = 100 × 1 0 − 5 × 100 Δ h = 0.1 cm

Physics - Heat & Thermo Question with Solution | TestHub

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