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JEE Main & Advanced Sample Paper JEE Main Sample Paper-34

  • question_answer
    The minimum time 't' when the particle having equation of motion \[x=A\text{ }sin\left( \pi t+\pi /6 \right)\]has maximum potential energy will be:

    A)  \[\frac{1}{3}\sec \]                        

    B)  \[\frac{1}{4}\sec \]

    C)  \[\frac{1}{2}\sec \]                        

    D)  \[\frac{1}{6}\sec \]

    Correct Answer: A

    Solution :

    \[ATx=A,\,P.E.\] will be maximum             \[A=A\,\sin \,(\pi t+\pi /6)\]             \[\sin \,\frac{\pi }{2}=\sin \,\left( \pi t+\frac{\pi }{6} \right)\]             \[\frac{\pi }{2}-\frac{\pi }{6}\,=\pi t\]             \[t=\frac{2}{6}\,=\frac{1}{3}\]


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