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

  • question_answer
    The density of steel at \[0 {}^\circ C\]is 8.0 g/cc. At what temperature is density lesser by 0.1%? Coefficient of linear expansion of steel is \[1{{0}^{-5}} /{}^\circ C\].

    A) \[37.2{}^\circ C\]

    B) \[33.3{}^\circ C\]

    C) \[55.4{}^\circ C\]

    D) \[40.2{}^\circ C\]

    Correct Answer: B

    Solution :

    [b] \[\rho =\frac{{{\rho }_{0}}}{1+\gamma \,\Delta \theta }\cong {{\rho }_{0}}\left( 1-\gamma \,\Delta \theta  \right);\frac{\Delta \rho }{\rho }=-\gamma \,\Delta \theta \] \[\frac{1}{100}=3\times {{10}^{-5}}\Delta \theta \,\,\,\,;\,\,\,\Delta \theta =\frac{100}{3}={{33.3}^{\operatorname{o}}}C\]


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