JEE Main & Advanced Physics Wave Mechanics Question Bank Self Evaluation Test - Oscillations

  • question_answer
    A body oscillates with SHM according to the equation (in SI units), \[x=5\,\cos \,\left( 2\pi t\frac{\pi }{4} \right)\]. Its instantaneous displacement at t = 1 second is

    A) \[\frac{\sqrt{2}}{5}m\]

    B) \[\frac{1}{\sqrt{3}}m\]  

    C) \[\frac{5}{\sqrt{2}}m\]

    D) \[\frac{1}{2}m\]

    Correct Answer: C

    Solution :

    [c] Given \[t=1s\] \[\therefore \,\,x=5\cos \left( 2\pi +\frac{\pi }{4} \right)=5\cos \,\frac{\pi }{4}=\frac{5}{\sqrt{2}}m\] i.e., displacement at \[t=1\,s\,is\,\frac{5}{\sqrt{2}}m\]


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