CMC Medical CMC-Medical VELLORE Solved Paper-2010

  • question_answer
    Two points on a travelling wave having frequency 500 Hz and velocity 300 m/s are \[60{}^\circ \]out of phase, then the minimum distance between the two points is

    A)  0.2                                        

    B)  0.1

    C)  0.5                                        

    D)  0.4

    E)  None of these

    Correct Answer: B

    Solution :

                    As,          \[v=n\lambda \] \[\therefore \]  \[\lambda =\frac{v}{n}=\frac{300}{500}=\frac{3}{5}m\] Now, phase difference\[=\frac{2\pi }{\lambda }\times \]path difference \[\therefore \]  \[60{}^\circ =\frac{2\pi }{\lambda }\times \]path difference or            \[\frac{60{}^\circ \times \pi }{180{}^\circ }=\frac{2\pi \times 5}{3}\times \]path difference Path difference\[=\frac{3\times 60\times \pi }{2\pi \times 5\times 180}=0.1\]


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