A bullet passes past a person at a speed $220 {ms}^{- 1}$ . Find the fractional change in the frequency of the whistling sound heard by the person as the bullet crosses the person. Speed of sound $= 330 {ms}^{- 1}$ .

0.67

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0.8

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1.2

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3.0

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Solution

The correct option is B $0.8$
Limiting cases when it is just at the average of crossing and when it has just crossed are taken.
$f_{1} = \frac{v}{v + v_{s}} f = \frac{330}{330 + 220} f = 0.6 f$ and
$f_{2} = \frac{v}{v - v_{s}} f = \frac{330}{330 - 220} f = 3 f$
$\Rightarrow f_{n e t} = \frac{f_{1} + f_{2}}{2} = \frac{3.6 f}{2} = 1.8 f$
Hence, $Δ f = 0.8 f$ or $\frac{Δ f}{f} = 0.8$ .

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A bullet passes past a person at a speed 220 ms−1. Find the fractional change in the frequency of the whistling sound heard by the person as the bullet crosses the person. Speed of sound =330 ms−1.

The correct option is B 0.8Limiting cases when it is just at the average of crossing and when it has just crossed are taken. f1=vv+vsf=330330+220f=0.6f and f2=vv−vsf=330330−220f=3f ⇒ fnet=f1+f22=3.6f2=1.8f Hence, Δf=0.8f or Δff=0.8.

A bullet passes past a person at a speed $220 {ms}^{- 1}$ . Find the fractional change in the frequency of the whistling sound heard by the person as the bullet crosses the person. Speed of sound $= 330 {ms}^{- 1}$ .