JEE Main & Advanced Physics Simple Harmonic Motion Question Bank Mock Test - Simple Harmonic Motion

  • question_answer
    An object of mass \[0.2kg\] executes simple harmonic along \[X\]-axis with frequency of \[\frac{25}{\pi }Hz\]. At the position x = 0.04 m, the object has kinetic energy of 0.5 J and potential energy of 0.4 J. The amplitude of oscillation in meter is equal to

    A) 0.05                            

    B) 0.06

    C)  0.01                

    D) None of these

    Correct Answer: B

    Solution :

    [b] \[E=\frac{1}{2}m{{\omega }^{2}}{{A}^{2}}\Rightarrow e=\frac{1}{2}m{{(2\pi f)}^{2}}{{A}^{2}}k\Rightarrow A=\frac{1}{2\pi f}\sqrt{\frac{2E}{m}}\] Putting \[E=K+U\]we obtain, \[A=\frac{1}{2\pi \left( \frac{25}{\pi } \right)}\sqrt{\frac{2\times (0.5+0.4)}{0.2}}\Rightarrow A=0.06m\]


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