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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2006

  • question_answer
        An iron bar of length 10 m is heated from\[0{}^\circ C\] to\[100{}^\circ C\]. If the coefficient of linear thermal expansion of iron is\[10\times {{10}^{-6}}/{}^\circ C,\] the increase in the length of bar is

    A)  0.5 cm                                 

    B)  1.0 cm

    C)  1.5 cm                                 

    D)  2:0 cm

    Correct Answer: B

    Solution :

                    The change in length\[\Delta \]is proportional to L and\[\Delta T\]. Stated mathematically \[\Delta l=\alpha L\Delta T\] where\[\alpha \]is called the coefficient of linear thermal expansion for the material. Given,     \[\alpha =10\times {{10}^{-6}}/{}^\circ C,\Delta T=100{}^\circ C,\] \[L=10\text{ }m\] \[\therefore \] \[\Delta l=10\times 100\times 10\times {{10}^{-6}}={{10}^{-2}}m=1\,cm\] Note: For an isotropic material, a will be the same in all the same in all the directions, so we can measure a-simply by measuring the change in length of a rod of the material.


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