JEE Main & Advanced Physics Thermometry, Calorimetry & Thermal Expansion Question Bank Topic Test - Thermometry, Thermal Expansion and Calorimetry (3-5-21)

  • question_answer
    A uniform metal rod is used as a bar pendulum. If the room temperature rises by \[10{}^\circ C\], and the coefficient of linear expansion of the metal of the rod is \[2\times {{10}^{-\,6}}\text{per}\,{}^\circ C\], the period of the pendulum will have percentage increase of

    A) \[-\,2\times {{10}^{-\,3}}\]

    B) \[-\,1\times {{10}^{-\,3}}\]

    C) \[2\times {{10}^{-\,3}}\]

    D) \[1\times {{10}^{-\,3}}\]

    Correct Answer: D

    Solution :

                   Fractional change in period \[\frac{\Delta T}{T}=\frac{1}{2}\alpha \,\Delta \theta =\frac{1}{2}\times 2\times {{10}^{-6}}\times 10={{10}^{-5}}\] % change\[=\frac{\Delta T}{T}\times 100={{10}^{-5}}\times 100={{10}^{-3}}\,%\]


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