A) \[\frac{2u}{\lambda }\]
B) \[\frac{u}{\lambda }\]
C) \[\frac{u}{2\lambda }\]
D) \[\frac{\lambda }{u}\]
Correct Answer: A
Solution :
Let v be the speed of sound and n the original frequency of each source. |
They emit sounds of wavelength \[\lambda \] |
When observer moves towards one source (say A), the apparent frequency of A as observed by the observer will be |
\[n'=n\left( \frac{v+u}{v} \right)\] |
The observes is now receding source B, so die apparent frequency of S observed will be |
\[n'=n\,\left( \frac{v-u}{v} \right)\] |
Thus, number of beats |
but |
Thus, |
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