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NEET Sample Paper NEET Sample Test Paper-71

  • 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 \[2 \times  1{{0}^{-}}^{6}per {}^\circ C\], the period of the pendulum will have percentage increase of

    A) \[-2 \times  1{{0}^{-3}}\]

    B) \[-1 \times  1{{0}^{-3}}\]

    C) \[2 \times  1{{0}^{-3}}\]                      

    D) \[1 \times  1{{0}^{-3}}\]

    Correct Answer: D

    Solution :

    Fractional change in period     \[\frac{\Delta T}{T}=\frac{1}{2}\,\alpha \Delta \theta =\frac{1}{2}\times 2\times {{10}^{-6}}\times 10={{10}^{-5}}\] \[%\,Change\,\,=\,\,\frac{\Delta T}{T}\times 100=10{{~}^{-5}}\times 100=1{{0}^{-3}}\,%\]


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