JEE Main & Advanced Sample Paper JEE Main Sample Paper-6

  • question_answer
    A stone is swinging in a horizontal circle 0.8 m in diameter, at 30 rev/min. A distant light causes a shadow of the stone to be formed on a nearby wall. What is the amplitude of the motion of the shadow? What is the frequency?

    A)  0.4 m, 1.5 Hz     

    B)  0.4 m, 0.5 Hz

    C)  0.8 m, 0.5 Hz     

    D)  0.2 m, 0.5 Hz

    Correct Answer: B

    Solution :

    The amplitude is the radius of the circle \[R=\frac{0.8}{2}m=0.4m.\] The frequency of the shadow are the same as that of the circular motion, so              \[\omega =30rev/\min =0.5rev/s=\pi rad/s\] and\[v=\omega /2\pi =\pi /2\pi =0.5Hz\]


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