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JEE Main 202325 JanuaryEvening Shift
Exam
JEE Main
Year
2023
Date
25 January
Shift
Evening Shift
Subject
Physics
Chapter
Waves and Sound

JEE Main 2023 · 25 January · Evening Shift · Physics · Waves and Sound

A train blowing a whistle of frequency 320Hz approaches an observer...

A train blowing a whistle of frequency 320Hz320Hz approaches an observer standing on the platform at a speed of 66ms−166m{s}^{- 1}. The frequency observed by the observer will be (given speed of sound =330ms−1= 330m{s}^{- 1}) ______ HzHz.A train blowing a whistle of frequency 320Hz approaches an observer standing on the platform at a speed of 66m s ^ - 1

Correct answer

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Step-by-step solution

A train blowing a whistle of frequency 320Hz approaches an observer standing on the platform at a speed of 66m s ^ - 1

Using Doppler's effect, the frequency observed by the observer when the train moves towards the stationary observer is

fapp=f(vv−vs){f}_{app} = f\left(\dfrac{v}{v - {v}_{s}}\right)

Given here, vs=330ms−1andv=66ms−1{v}_{s} = 330m{s}^{- 1}andv = 66m{s}^{- 1}

Putting the values,

fapp=320(330330−66){f}_{app} = 320\left(\dfrac{330}{330 - 66}\right)

⇒fapp=400Hz⇒ {f}_{app} = 400Hz.

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