The diagram shows a simple mercury barometer. Which of the following does not cause the height of the mercury column to vary?

Option:

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Changes in the atmospheric pressure

Changes in the value of g

Evaporation of mercury from the barometer reservoir

Leakage of air into the tube

answer is C.

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Detailed Solution

Concept: Factor affecting rise of mercury column in Barometer.

P = hρg

can provide information about the physical factors that affect the barometer's mercury's height.
The relationship between the mercury's elevation and gravity, density, and pressure. The system will be disturbed by even a little variation in these amounts.
We may conclude from this equation that the relationship between atmospheric pressure and mercury height is a direct one. If the gravitational field changes, height will alter accordingly.
The vacuum will be caused by air leaking within the tube. As a result, the pressure in the tube and the pressure outside the tube will be equal. As a result, it is possible for mercury to rise in relation to pressure.
Since the mercury column is surrounded by a glass tube, mercury evaporation won't affect it in any way. Therefore, not only can mercury not leave the system, but also air. The height of mercury won't alter as a result.
Hence, the correct option is 3.

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