AFMC AFMC Solved Paper-2011

  • question_answer
    Two points on a travelling wave having frequency 500 Hz and velocity 300 m/s are 60° out of phase, then the minimum distance between the two points is

    A) 0.2                                         

    B) 0.1

    C)  0.5                                        

    D) 0.4

    Correct Answer: B

    Solution :

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


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