JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2009

  • question_answer
        The volume of a block of metal changed by 0.12% when heated through\[20{}^\circ C\]. Then a is

    A)  \[2.0\times {{10}^{-5}}/{}^\circ C\]

    B)  \[4.0\times {{10}^{-5}}/{}^\circ C\]

    C)  \[6.0\times {{10}^{-5}}/{}^\circ C\]

    D)  \[8.0\times {{10}^{-5}}/{}^\circ C\]

    Correct Answer: A

    Solution :

                    Since\[\gamma =\frac{\Delta V}{V\Delta T}\] \[\Rightarrow \]               \[\gamma =\frac{0.12}{100}\times \frac{1}{20}\] \[\Rightarrow \]               \[\gamma =6\times {{10}^{-5}}/{}^\circ C\] \[\therefore \]  \[\alpha =\frac{\gamma }{3}\] \[\Rightarrow \]               \[\alpha =\frac{6\times {{10}^{-5}}}{3}=2.0\times {{10}^{-5}}/{}^\circ C\]


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