A U-tube liquid has ρ ( T ) = ( 1 + γ T ) ρ 0 , γ = 2 × 1 0 − 4 per °C. An arm at 0°C has height 50 cm, the other at 100°C. Equal base pressures. Find hot-arm height in cm.

Question

A U-tube liquid has ρ ( T ) = ( 1 + γ T ) ρ 0 ​ ​ , γ = 2 × 1 0 − 4 per °C. An arm at 0°C has height 50 cm, the other at 100°C. Equal base pressures. Find hot-arm height in cm.

TestHub · Accepted Answer

ρ 0 ​ ( 50 ) = 1.02 ρ 0 ​ h ​ , hence h = 51 cm . Hotter liquid has lower density and needs greater column height.

Physics - Heat & Thermo Question with Solution | TestHub

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