JEE Main & Advanced Physics Fluid Mechanics, Surface Tension & Viscosity / द्रव यांत्रिकी, भूतल तनाव और चिपचिपापन Question Bank Pressure Difference

  • question_answer
    The excess pressure in a soap bubble is thrice that in other one. Then the ratio of their volume is  [RPMT 2003; CPMT 2001]

    A) 1 : 3    

    B)             1 : 9

    C)             27 : 1  

    D) 1 : 27

    Correct Answer: D

    Solution :

                    \[\Delta P\propto \frac{1}{r}\Rightarrow \frac{{{r}_{1}}}{{{r}_{2}}}=\frac{\Delta {{P}_{2}}}{\Delta {{P}_{1}}}=\frac{1}{3}\Rightarrow \frac{{{V}_{1}}}{{{V}_{2}}}={{\left( \frac{{{r}_{1}}}{{{r}_{2}}} \right)}^{3}}=\frac{1}{27}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner