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NEET 2016
Exam
NEET
Year
2016
Subject
Physics
Chapter
Waves and Sound

NEET 2016 · Physics · Waves and Sound

A siren emitting a sound of frequency 800 Hz moves away from an...

A siren emitting a sound of frequency 800Hz800 Hz moves away from an observer towards a cliff at a speed of 15ms−115m{s}^{- 1}. Then, the frequency of sound that the observer hears in the echo reflected from the cliff is
(Take velocity of sound in air =330ms−1= 330m{s}^{- 1})A siren emitting a sound of frequency 800 Hz moves away from an observer towards a cliff at a speed of 15m s ^ - 1 .

Options

  1. A765Hz765\text{Hz}
  2. B800Hz800\text{Hz}
  3. C838Hz838\text{Hz}
  4. D885Hz885\text{Hz}

Correct answer

C. 838Hz838\text{Hz}

Step-by-step solution

Given here,

fo=800Hz{f}_{o} = 800Hz
Vs=15ms−1{V}_{s} = 15m{s}^{- 1}

A siren emitting a sound of frequency 800 Hz moves away from an observer towards a cliff at a speed of 15m s ^ - 1 .

Using Doppler's effect, the frequency of sound that the observer hears in the echo reflected from the cliff is fa=fo(V+VoV−Vs){f}_{a} = {f}_{o}\left(\dfrac{V + {V}_{o}}{V - {V}_{s}}\right)
⇒fa=330(330−15)×800=330315×800⇒ {f}_{a} = \dfrac{330}{\left(330 - 15\right)} \times 800 = \dfrac{330}{315} \times 800

fa=838Hz{f}_{a} = 838Hz

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