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A manometer tube contains a liquid of de...

A manometer tube contains a liquid of density `4xx10^(3) kg m^(-3)`. When connected to a vessel containing a gas, the liquid level in the other arm of the tube is higher by 20 cm. When connected to another sample of enclosed gas, the liquid level in the other arm of the manometer tube falls 8 cm below the liquid level in the first arm. Which of the two samples exerts more pressure and by what amount ?

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To solve the problem, we need to find the pressure exerted by two different gas samples connected to a manometer and determine which one exerts more pressure and by how much. ### Step-by-Step Solution: 1. **Identify the Given Data:** - Density of the liquid in the manometer, \( \rho = 4 \times 10^3 \, \text{kg/m}^3 \) - Height difference for the first gas sample, \( h_1 = 20 \, \text{cm} = 0.2 \, \text{m} \) - Height difference for the second gas sample, \( h_2 = 8 \, \text{cm} = 0.08 \, \text{m} \) ...
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