JEE Main & Advanced Physics Thermometry, Calorimetry & Thermal Expansion Question Bank Thermal Expansion

  • question_answer
    A uniform metal rod is used as a bar pendulum. If the room temperature rises by 10°C, and the coefficient of linear expansion of the metal of the rod is 2 ´ 10?6 per °C, the period of the pendulum will have percentage increase of  [NSEP 1992]

    A)            ? 2 ´ 10?3                               

    B)            ? 1 ´ 10?3

    C)            2 ´ 10?3                                   

    D)            1 ´ 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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