Mechanical Properties of Fluids

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Question : 9
Total: 31
A U-tube 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?
Solution:  
Here, for water column in one arm of U-tube :
h1=10.0cm
ρ1=1 g cm3
For spirit column in other arm of U-tube,
h2=12.5 cm
ρ2=?
If P1andP2 be the pressures exerted by water column and spirit column respectively,
ThenP1=h1ρ1g...(i)
andP2=h2ρ2g...(ii)
Also as the mercury columns in the two arms of U-tube are at the same level, thus in equilibrium,
P1=P2 or h1ρ1g=h2ρ2g
Now specific gravity of spirit
=density of spirit density of water
=
0.8 g cm3
1 g cm3
=0.800
.
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