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Question

The ratio of height of a mercury column in a barometer at a place to the height of the liquid column at the same place are 1:4. Find the density of the liquid in g/cm3.

A
10.5 g/cm3
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B
4.8 g/cm3
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C
3.4 g/cm3
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D
5.6 g/cm3
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Solution

The correct option is C 3.4 g/cm3
Let the density of the liquid be ρl and mercury be ρm.
Let the height of mercury column be h.
Therefore, height of liquid column be 4h
The bottom pressure will be same for both the liquids since the pressure is same at a horizontal level.
ρmgh = ρl×g×(4h)
ρl = ρm4
Since, density of mercury is 13.6 g/cm3
ρl = 13.64 = 3.4 g/cm3


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