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Question

By sucking through a straw, a student can reduce the pressure in his lungs to 750mm of Hg (Density =13.6g/cm3). Using the straw, he can drink water from a glass up to a maximum depth of

A
10cm
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B
75cm
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C
13.5cm
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D
1.36cm
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Solution

The correct option is A 13.5cm
Given,
ρH=13.6g/cm3
ρw=1g/cm3
P0=760mmofHg
Pl=750mmofHg
The pressure difference between the lungs of student and the atmosphere is given by
ΔP=P0Pl
ΔP=760750=10mmofHg
ΔP=1cmofHg
This pressure can be used for the drinking water.
1cmofHg= Pressure difference due to water column
ρHghH=ρwgH
1×13.6×g=1×g×H
H=13.6cm
The correct option is C.


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