MCQ
A train moving at a speed of $220\, ms^{-1}$ towards a stationary object, emits a sound of frequency $1000\, Hz$. Some of the sound reaching the object gets reflected back to the train as echo. The frequency of the echo as detected by the driver of the train is .... $ Hz$ (speed of sound in air is $330\, ms^{-1}$)
  • A
    $3500$
  • B
    $4000$
  • $5000$
  • D
    $3000$

Answer

Correct option: C.
$5000$
c
Frequency of the echo detected by the driver of the train is

(According to Doppler effect in sound)

$f^{\prime}=\left(\frac{v+u}{v-u}\right) f$

where $f=$ original frequency of source of sound

$f^{\prime}=$ Apparent frequency of source because of the relative motion between source and observer.

$f^{\prime}=\left(\frac{330+220}{330-220}\right) 1000=5000 \mathrm{Hz}$

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