JCECE Engineering JCECE Engineering Solved Paper-2004

  • question_answer
    The volume of a metal sphere increases by \[0.15%\] when its temperature is raised by\[{{24}^{o}}C\]. The coefficient of linear expansion of metal is:

    A) \[2.5\times {{10}^{-5}}{{/}^{o}}C\]          

    B) \[2.0\times {{10}^{-5}}{{/}^{o}}C\]

    C) \[1.5\times {{10}^{-5}}{{/}^{o}}C\]          

    D) \[1.2\times {{10}^{-5}}{{/}^{o}}C\]

    Correct Answer: B

    Solution :

    Linear expansion coefficient                 \[\alpha =\frac{\gamma }{3}=\frac{1}{3}\cdot \frac{\Delta V}{V\Delta t}\] \[\Rightarrow \]               \[\alpha =\frac{1}{3}\cdot \frac{0.15}{100\times 24}\] \[\Rightarrow \]               \[\alpha =2\times {{10}^{-5}}{{/}^{o}}C\]


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