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An engine giving off whistle is moving towards a stationary observer with 50m/s speed. What will be the ratio of the frequencies of the whistle heard when engine is approaching and receding from the observer? (speed of sound = 350 m/s)

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2 : 1

4 : 5

4 : 3

3 : 4

answer is C.

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Detailed Solution

$\large {n_{app}}\, = \,\left( {\frac{V}{{V - {V_s}}}} \right)n - - - - \left( 1 \right)$

$\large {n_{rec}}\, = \,\left( {\frac{V}{{V - {V_s}}}} \right)n - - - - \left( 2 \right)$

$\large \frac{{{n_{app}}}}{{{n_{rec}}}}\, = \,\left[ {\frac{{V + {V_s}}}{{V - {V_s}}}} \right]\, = \,\left[ {\frac{{350 + 50}}{{350 - 50}}} \right]\, = \,\frac{{400}}{{300}}\, = \,\frac{4}{3}$

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