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Calculate the pressure exerted by a mercury column of height 75 cm at its bottom
Given that the density of mercury is 13600 kg/m and g=10 m/s2
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Answer:
The height of mercury column in a barometer in a Calcutta laboratory was recorded to be 75 cm. Calculate this pressure in SI and CGS units using the following data : Specific gravity of mercury = 13.6, Density of water =10 3
kg/m 3
,g=9.8m/s 2
at Calcutta.Pressure=hpg in usual symbols.
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ANSWER
Height of the Mercury Column in a Barometer = 75 cm.
For Finding the Pressure in S.I. System, Changing 75 cm into meter.
∴ Height of the Mercury column(h) = 75 cm.
= 0.75 m.
Acceleration due to gravity(g) = 9.8m/s 2
Density of the Water =10 3
kg/m 3
.
=1000kg/m 3
Specific Gravity of the Mercury = 13.6
Specific Gravity of the Substance is the Ratio of the Density of the Substance to the Density of the Water.
∴ Specific Gravity = Density of the Substance /Density of the Water.
⇒ Density of the Mercury(ρ) = 1.3×1000
= 1300kg/m 3