KVPY Sample Paper KVPY Stream-SX Model Paper-30

  • question_answer
    If force constant of spring is \[k=\frac{2mg}{\ell }\] and now mass m is displaced down ward from equilibrium and released. Then time period will be-

    A) \[2\pi \sqrt{\frac{\ell }{2g}}\]

    B) \[2\pi \sqrt{\frac{\ell }{g}}\]

    C) \[\frac{4\pi }{3}\sqrt{\frac{\ell }{2g}}+\sqrt{\frac{6\ell }{g}}\]

    D) \[\pi \sqrt{\frac{\ell }{2g}}+\sqrt{\frac{8\ell }{g}}\]

    Correct Answer: A

    Solution :

    For spring block system \[T=2\pi \sqrt{\frac{m}{k}}=2\pi \sqrt{\frac{m}{2mg}}=2\pi \sqrt{\frac{\ell }{2g}}\]


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