JEE Main & Advanced Physics Simple Harmonic Motion Question Bank Critical Thinking

  • question_answer
    A linear harmonic oscillator of force constant \[2\times {{10}^{6}}N/m\]times and amplitude 0.01 m has a total mechanical energy of 160 joules. Its [IIT JEE 1989; CPMT 1995; CBSE PMT 1996; KECT (Med.) 1999; AMU (Engg.) 2000; UPSEAT 2001]

    A)            Maximum potential energy is 100 J

    B)            Maximum K.E. is 100 J      

    C)            Maximum P.E. is 160 J

    D)            Minimum P.E. is zero

    Correct Answer: B

    Solution :

                       Harmonic oscillator has some initial elastic potential energy and amplitude of harmonic variation of energy is  \[\frac{1}{2}K{{a}^{2}}=\frac{1}{2}\times 2\times {{10}^{6}}{{(0.01)}^{2}}=100J\]                    This is the maximum kinetic energy of the oscillator. Thus \[{{K}_{\max }}=100J\]


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