CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2005

  • question_answer
    The volume of a metal sphere increases by 0.24% when its temperature is raised by\[40{}^\circ \] C. The coefficient of linear expansion of the metal is...\[/{}^\circ C\].

    A)  \[2\times {{10}^{-5}}\]                                 

    B)  \[6\times {{10}^{-5}}\]

    C)  \[18\times {{10}^{-5}}\]              

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

    E)  \[2.1\times {{10}^{-5}}\]

    Correct Answer: A

    Solution :

    \[\Delta V={{V}_{\gamma }}\Delta t\] \[\Rightarrow \]               \[0.25=100\times \gamma \times 40\]                 \[\gamma =\frac{0.24}{100\times 40}\]                 \[=0.00006\]                 \[=6\times {{10}^{-5}}\]                 \[\alpha =\frac{\gamma }{3}\] \[\Rightarrow \]               \[\alpha =2\times {{10}^{-5}}/{}^\circ C\]


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