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Question

A Utube contains water and methylated spirit separated by mercury. The mercury columns in the two arms are in level with 10.0 cm of water in one arm and 12.5 cm of spirit in the other. What is the specific gravity of spirit?

A
0.6
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B
0.7
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C
0.8
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D
0.9
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Solution

The correct option is C 0.8
Height of spirit =h1=12.5 cm

Height of water =H2=10 cm

P1= density of spirit

ρ2= density of water

Pressure under spirit =P0+ρ1gh1

Pressure under water =P0+ρ2gh2

P0+ρ1gh1=P0+ρ2gh2

ρ1ρ2=h2h1=100125=0.8

Specific gravity =0.8

Answer: (C)

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