question_answer

An air bubble of radius 0.1 cm is in a liquid having surface tension 0.06 N/m and density \[{{10}^{3}}kg/{{m}^{3}}.\] The pressure inside the bubble is \[1100N{{m}^{-2}}\] greater than the atmospheric pressure. At what depth is the bubble below the surface of the liquid? \[(g=9.8m{{s}^{-2}})\]                                 [JEE ONLINE 11-04-2014]

A)  0.1m

B)       0.15m

C)  0.20m

D)       0.25m

Correct Answer: A

Solution :

           

Given: Radius of air bubble,

Surface tension of liquid,

Density of liquid,

Excess pressure inside the bubble,

Depth of bubble below the liquid surface,

h = ?

As we know,