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Question

Suppose the pressure at the surface of mercury in a barometer tube is P1 and the pressure at the surface of mercury in the cup is P2.
(a) P1 = 0, P2 = atmospheric pressure
(b) P1 = atmospheric pressure P2 = 0
(c) P1 = P2 = atmospheric pressure
(d) P1 = P2 = 0

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Solution

(a) P1 = 0, P2 = atmospheric pressure

The upper part of the tube contains vacuum as the mercury goes down and no air is allowed in. Thus, the pressure at the upper end, i.e., at the surface of mercury in a barometer tube is zero (P1 = 0). However, the pressure at the surface of mercury in the cup or any another point at the same horizontal plane is equal to the atmospheric pressure.

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