JEE Main & Advanced Physics Thermometry, Calorimetry & Thermal Expansion Question Bank Self Evaluation Test - Thermal Properties of Matter

  • question_answer
    The length of a metallic rod is 5 m at \[0{}^\circ C\]and becomes 5.01 m, on heating up to\[100{}^\circ C\]. The linear expansion of the metal will be

    A) \[2.33\times {{10}^{-5}}/{}^\circ C\]

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

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

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

    Correct Answer: D

    Solution :

    [d] \[\ell =5m {{t}_{1}}=0{}^\circ C\] \[{{\ell }_{2}}= 5.01m {{t}_{2}}=100{}^\circ C\] \[\alpha =\frac{{{\ell }_{2}}-{{\ell }_{1}}}{{{\ell }_{1}}\left( {{t}_{2}}-{{t}_{1}} \right)}=\frac{5.01-5}{5\times 100}=2\times {{10}^{-5}}{{/}^{\operatorname{o}}}C\].


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