Uttarakhand PMT Uttarakhand PMT Solved Paper-2008

  • question_answer
    Two soap bubbles have radii in the ratio of 2:1. What is the ratio of excess pressures inside them?

    A)  1: 2          

    B)  1: 4

    C)  2:1         

    D)  4 : 1

    Correct Answer: A

    Solution :

     Excess pressure inside the bubble, \[p=\frac{4T}{r}\] Then,      \[{{p}_{1}}=\frac{4T}{{{r}_{1}}}\]                   ... (i) \[{{p}_{2}}=\frac{4T}{{{r}_{2}}}\]                   ...(ii) From Eqs. (i) and (ii), we have \[\frac{{{p}_{1}}}{{{p}_{2}}}=\frac{4T/{{r}_{1}}}{4T/{{r}_{2}}}=\frac{{{r}_{2}}}{{{r}_{1}}}\] \[\frac{{{p}_{1}}}{{{p}_{2}}}=\frac{1}{2}\]


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