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JEE Main & Advanced Sample Paper JEE Main Sample Paper-22

  • question_answer
    A brass pendulum is so adjusted at \[{{20}^{o}}C\] that its time period is 1 sec. The coefficient of linear expansion of brass is \[1.93\times \text{1}{{0}^{-15}}{{\text{ }}^{o}}{{C}^{-1}}.\] If the temperature becomes \[{{30}^{o}}C,\] then the clock will slowed down in one week by:

    A)  8 sec                           

    B)  56 sec

    C)  224 sec           

    D)  0.36 sec

    Correct Answer: B

    Solution :

    Since time period \[T=2\pi \sqrt{\frac{l}{g}}\] for one week the clock will slow down \[\frac{\Delta T}{T}=\frac{1}{2}\,\frac{\Delta l}{l}\,=\frac{1}{2}\,\alpha \Delta \theta \] For one week the clock will slow down \[1\times 7\times 24\times 60\,\times 60\,\times \,\frac{1}{2}\,\,\alpha \Delta \theta \] second.


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