In given figure- if the pressure of gas in bulb A is 50 cm Hg vacuum and -atm-76 cm Hg- then height of column H is equal to

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Fluid Mechanics

Absolute , Gauge , Atmospheric and and Vacuum Pressure

In given figu...

Question

In given figure, if the pressure of gas in bulb A is 50 cm Hg vacuum and $ρ_{a t m}$ =76 cm Hg, then height of column H is equal to

26 cm

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50 cm

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76 cm

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126 cm

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Solution

The correct option is B 50 cm

$h_{v a c} = 50 c m H g$
$P_{a t m} = 76 c m H g$
Absolute pressure at point 1
= Absolute pressure of point 2
$(P_{a b s})_{1} = (P_{a b s})_{2}$
$(P_{a t m} + P_{G})_{1} = (P_{a t m} - P_{v a c})_{2} + ρ g H$
$P_{a t m} + 0 = P_{a t m} - P_{v a c} + ρ g H$
or $ρ g H = P_{v a c}$
$ρ g H = ρ g h_{v a c}$
or
$H = h_{v a c} = 50 c m H g$

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In given figure, if the pressure of gas in bulb A is 50 cm Hg vacuum and ρatm=76 cm Hg, then height of column H is equal to

The correct option is B 50 cm hvac=50cm Hg Patm=76cm Hg Absolute pressure at point 1 = Absolute pressure of point 2 (Pabs)1=(Pabs)2 (Patm+PG)1=(Patm−Pvac)2+ρgH Patm+0=Patm−Pvac+ρgH or ρgH=Pvac ρgH=ρghvac or H= hvac =50cm Hg

In given figure, if the pressure of gas in bulb A is 50 cm Hg vacuum and $ρ_{a t m}$ =76 cm Hg, then height of column H is equal to