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JEE Main & Advanced Sample Paper JEE Main Sample Paper-32

  • question_answer
    The snapshot of a wave is shown at \[t=0\]. Find x-coordinate of point P in \[\lambda \], while the wave speed is 300 m/sec.

    A) \[\frac{27\lambda }{12}\]

    B)                    \[\frac{29\lambda }{12}\]

    C) \[\frac{25\lambda }{12}\]            

    D)    \[\frac{31\lambda }{12}\]            

    Correct Answer: C

    Solution :

    \[y(x,t)=A\sin (kx-235621t)\]                 Compare with \[y(x,t)=A\,\sin \,(kx-wt)\] \[\omega =23562\]         \[f=\frac{23562}{2\pi }=3750\,Hz\] \[\lambda =\frac{v}{f}=\frac{300}{3750}=0.08\] for \[y=A/2\] and t = 0 \[\frac{A}{2}=A\,\sin \,Kx\,(\sin ce\,K=\frac{2\pi }{\lambda })\] Or \[x=\frac{\lambda }{12}\] Required distance \[=2\lambda +\frac{\lambda }{12}=\frac{25\lambda }{12}\]


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