Question

how is the barometric height affected if a drop of mercury is inserted on the tube of the barometer?

Answer 1

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⬇️HERE IS YOUR ANSWER⬇️
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The height of mercury above the bowl in a barometer is a measure of the pressure of air pushing on the mercury in the bowl. The mass of the mercury above the bowl times the force of gravity is equal to the pressure of air on the bowl. In example A, B, and C the air pressure is constant so you will have the samequantity of mercury in the tube. The question in these three examples is how is this quantity observed.  In example:

In (A) the tube is wider so the height has to be lowerIn (B) the height would not changeIn (C) tilting the tub will not change the height. It will just make it harder to read. Like tilting a bottle of soda, the mercury will tilt in the tube so that the reading on the side closest to the earth will be higher and the side away would be lower.In (D) at the top of a mountain the air pressure is much lower so the vertical height will be lower. It should be noted that the force of gravity at the top of a mountain is lower that at sea level so the drop in height will not be as large as one would expect.

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