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Question: A glass tube 80 cm long and open at both ends is half immersed in mercury. Then the top of the tube ...

A glass tube 80 cm long and open at both ends is half immersed in mercury. Then the top of the tube is closed and it is taken out of the mercury. A column of mercury 20 cm long then remains in the tube. The atmospheric pressure (in cm of Hg) is

A

80

B

70

C

60

D

50

Answer

60

Explanation

Solution

Let be the atmospheric pressure

As

Or P2=P1V1V2P _ { 2 } = \frac { P _ { 1 } V _ { 1 } } { V _ { 2 } }

Or

From figure (ii)

P2+(20 cm\mathrm { P } _ { 2 } + ( 20 \mathrm {~cm} of Hg)=P0\mathrm { Hg } ) = \mathrm { P } _ { 0 }

Or 23P0+20 cm\frac { 2 } { 3 } \mathrm { P } _ { 0 } + 20 \mathrm {~cm} of Hg=P0\mathrm { Hg } = \mathrm { P } _ { 0 }

Or cm of Hg

P0=60\therefore \mathrm { P } _ { 0 } = 60 cm of Hg