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Variation of Atmospheric Pressure with Altitude.

A simple U tu...

Question

A simple U tube contains mercury to the same level in both of its arms. If water is poured to a height of 13.6 cm in one arm,how much will be the rise in the mercury level in other arm?

Given : density of mercury = 13.6×10³ kg m-³ and density of water = 10³ kg m-³

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Solution

Given:
Length of mercury columns in two arms is equal.
Height to which water is poured in one arm, h = 13.6 cm
Let h' be the rise in the mercury level in the other arm.
Density of mercury = 13.6 × 103 kg m-3
Density of water = 103 kg m-3
Pressure due to water on one arm = Pressure on mercury column in the other arm
or 13.6 × 103 × g = h' × 13.6 × 103 × g
h' = 1 cm
The rise in mercury level in the other arm will be 1 cm.

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