J & K CET Engineering J and K - CET Engineering Solved Paper-2012

  • question_answer
    The air pressure inside a soap bubble of radius R exceeds the outside air pressure by\[10\text{ }Pa\]. By how much will the pressure inside a bubble of radius 2R exceed the outside air pressure?

    A)  \[20\text{ }Pa\]           

    B)  \[40\text{ }Pa\]

    C)  \[2.5\text{ }Pa\]           

    D)  \[5\text{ }Pa\]

    Correct Answer: D

    Solution :

    Excess of pressure inside the soap bubble \[p=\frac{4S}{R}\] \[\therefore \] \[\frac{{{p}_{2}}}{{{p}_{1}}}=\frac{{{R}_{1}}}{{{R}_{2}}}=\frac{R}{2R}=\frac{1}{2}\] \[{{p}_{2}}=\frac{1}{2}{{p}_{1}}=\frac{1}{2}\times 10Pa=5\,Pa\]


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