Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2007

  • question_answer
    in the arrangement shown in the figure, for vertical oscillations of the mass m, the period is

    A) \[T=2\pi \sqrt{\frac{m}{{{k}_{1}}-{{k}_{2}}}}\]

    B) \[T=2\pi \sqrt{\frac{{{k}_{1}}+{{k}_{2}}}{m}}\]

    C) \[T=2\pi \sqrt{\frac{m({{k}_{1}}+{{k}_{2}})}{{{k}_{1}}{{k}_{2}}}}\]             

    D) \[T=2\pi \sqrt{\frac{mg}{{{k}_{1}}+{{k}_{2}}}}\]

    Correct Answer: A

    Solution :

    Resultant  spring constant of the parallel combination \[k={{k}_{1}}+{{k}_{2}}\] \[\therefore \] Time  period of oscillations                 \[T=2\pi \sqrt{\frac{m}{({{k}_{1}}+{{k}_{2}})}}\]


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