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JEE Main 202228 JulyMorning Shift
Exam
JEE Main
Year
2022
Date
28 July
Shift
Morning Shift
Subject
Physics
Chapter
Waves and Sound

JEE Main 2022 · 28 July · Morning Shift · Physics · Waves and Sound

The frequency of echo will be _____ Hz if the train blowing a...

The frequency of echo will be _____ HzHz if the train blowing a whistle of frequency 320Hz320Hz is moving with a velocity of 36kmh−136km{h}^{- 1} towards a hill from which an echo is heard by the train driver. Velocity of sound in air is 330ms−1330m{s}^{- 1}.The frequency of echo will be _____ Hz if the train blowing a whistle of frequency 320Hz is moving with a velocity of

Correct answer

0

Step-by-step solution

The hill will be a secondary source.

The frequency of echo will be _____ Hz if the train blowing a whistle of frequency 320Hz is moving with a velocity of

When the train moves towards the hill then,

f1={f}_{1} = frequency of the train w.r.t. the hill is f1=(vv−vs)f=(330320)×320=330Hz{f}_{1} = \left(\dfrac{v}{v - {v}_{s}}\right)f = \left(\dfrac{330}{320}\right) \times 320 = 330Hz

When the train driver hears an echo, then velocity of observer is v0=36×518=10ms−1{v}_{0} = 36 \times \dfrac{5}{18} = 10m{s}^{- 1}.

Now, f2={f}_{2} = Frequency of the sound reflected by hill w.r.t. the car (echo)

f2=(v+v0v)f1=(330+10)330×330=340Hz{f}_{2} = \left(\dfrac{v + {v}_{0}}{v}\right){f}_{1} = \dfrac{\left(330 + 10\right)}{330} \times 330 = 340Hz

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