JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2013

  • question_answer
        A sphere of radius 3 cm is subjected to a pressure of 100 atm. Its volume decreases by 0.3 cc. What will be its bulk modulus?

    A)  \[4\text{ }\pi \times {{10}^{5}}\text{ }atm\]                      

    B)  \[\text{3}\times 4\pi \times {{10}^{3}}\text{ }atm\]

    C)  \[4\text{ }\pi \times {{10}^{6}}\text{ }atm\]      

    D)  \[4\pi \times {{10}^{8}}\text{ }atm\]

    Correct Answer: B

    Solution :

                    Given, \[r=3\text{ }cm,\text{ }\Delta V=0.3\text{ }cc\] Bulk modulus \[K=-\frac{PV}{\Delta V}\]                 \[=\frac{100\times \frac{4}{3}\pi {{r}^{3}}}{0.3}\]                 \[=4\pi \times 3\times {{10}^{3}}atm\]


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