Fluid Mechanics Viscosity Question 268

Question: A boy can reduce the pressure in his lungs to 750 mm of mercury. Using a straw he can drink water from a glass upto the maximum depth of (atmospheric pressure$ =760mm $ of mercury; density of mercury$ =13.6gc{{m}^{-3}} $ )

Options:

A) 13.6 cm

B) 9.8 cm

C) 10cm

D) 76cm

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Pressure difference between lungs and atmosphere $ =(760-750)mm $ of Hg $ =10mmofHg=1cm $ of Hg Let the boy can suck water from depth h. Then Pressure difference $ h{\rho_{water}}g=1cm,of,Hg $ or, $ h\times 1g,c{{m}^{-3}}\times 980cm,{{s}^{-2}} $ $ =1cm\times 13.6g,c{{m}^{-3}}\times 980,cm,{{s}^{-2}} $ $ \therefore ,,,h=13.6cm $ The boy can suck water from the depth of 13.6cm