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

  • question_answer
    Which of the following function represents a simple harmonic oscillation                                              [AIIMS 2005]

    A)            \[\sin \omega t-\cos \omega t\]                                     

    B)            \[{{\sin }^{2}}\omega t\]

    C)            \[\sin \omega x+\sin 2\omega t\]                                 

    D)            \[\sin \omega x-\sin 2\omega t\]

    Correct Answer: A

    Solution :

               The standard differential equation is satisfied by only the function \[\sin \omega \,t-\cos \omega \,t.\]Hence it represents S.H.M.


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