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Which of the following examples represen...

Which of the following examples represent periodic motion?
(a) A swimmer completing one (return0trip from one bank of a river to other bank. (b) A freely suspended bar megnet displaced from its `N-S` direction and released. (c) A hydrogen molecule rotating about its centre of mass. (d) An arrow released from a bow.

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(a) It is not a periodic motion. Though the motino of a sqimmer is to and fro but will not have a definite period. (b) It is a periodic motion because a freely suspended magnet if once displaced from `N=S` direction and let go, it oscillates about this position. Hence it is simple harmoic motion also.
(c) It is also a periodic motion. (c) It is not a periodic motion.
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Knowledge Check

  • A particle of mass m is suspended from a fixed O by a string of length L. At t = 0 , it is displaced from its equilibrium position and released. The graph which shows the variation of the tension T in the string with time t is :

    A
    B
    C
    D

  • Which of the following statements are true about acceleration due to gravity ? (a) 'g' decreases in moving away from the centre if rgtR (b) 'g' decreases in moving away from the centre if rltR ( c ) 'g' is zero at the centre of earth (d) 'g' decreases if earth stops rotating on its axis

    A
    a & b
    B
    a, b & c
    C
    a & c
    D
    a, b, c & d

  • Two springs fixed at one end are stretched by 4 cm and 12 cm, respectively, when masses of 0.5 kg and 1 kg are suspended at their lower ends. They are displaced slightly from their mean positions and released. What is the ratio of their periods of oscillation ?

    A
    `1 : sqrt(2)`
    B
    `1 : 2`
    C
    `1 : sqrt(3)`
    D
    `2 :5`
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