A bullet train passes past a person at a speed 200 m $s^{- 1}$ . Find the fractional charge in the frequency of the whistling sound heard by the person as the bullet crosses the person. speed of sound = 300m $s^{- 1}$ .

0.67

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0.8

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1.2

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Solution

The correct option is D 0.8
Limiting cases when it is just at the verge of crossing and when it has just crossed are taken.

$f_{1} = \frac{v}{v + v_{s}} f = 0.6 f$ and
$f_{2} = \frac{v}{v + v_{s}} f = 3 f$
$f_{n e t} = \frac{f_{1} + f_{2}}{2} = \frac{3.6 f}{2} = 1.8 f$
$Δ f = 0.8 f$ or $\frac{Δ f}{f} = 0.8$

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A bullet train passes past a person at a speed 200 ms−1. Find the fractional charge in the frequency of the whistling sound heard by the person as the bullet crosses the person. speed of sound = 300ms−1.

The correct option is D 0.8Limiting cases when it is just at the verge of crossing and when it has just crossed are taken.f1=vv+vsf=0.6fand f2=vv+vsf=3ffnet=f1+f22=3.6f2=1.8fΔf=0.8f or Δff=0.8

A bullet train passes past a person at a speed 200 m $s^{- 1}$ . Find the fractional charge in the frequency of the whistling sound heard by the person as the bullet crosses the person. speed of sound = 300m $s^{- 1}$ .