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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 mercury level in other arm? Density of mercury 13.6 ×10(power 3) kg/m3 and density of water=1000 kg/m3


Solution

 

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.


Physics

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