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What is the value of pressure inside the bubble of radius 1cm, if the bubble is in water at a depth (H) of 1m? Assume atmospheric pressure to be 1atm, surface tension = 0.075N/m & density of water = 1000kg/m^3.(a) 110015 Pa(b) 109985 Pa(c) 26 atm(d) 4 atmThis question was addressed to me in semester exam.My doubt stems from Fluids Mechanical Properties in portion Mechanical Properties of Fluids of Physics – Class 11

Answer»

Correct answer is (a) 110015 PA

The EXPLANATION: The PRESSURE in the bubble will be more than the pressure just outside it by an amount 2S/R.

The pressure just outside the bubble is P0 + ρgh.

Therefore, pressure INSIDE bubble = P0 + ρgh + 2S/R

= 10^5 + (1000*10*1) + (2*0.075/0.01)

= 110015 Pa.



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