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JEE Main 202120 JulyMorning Shift
Exam
JEE Main
Year
2021
Date
20 July
Shift
Morning Shift
Subject
Physics
Chapter
Waves and Sound

JEE Main 2021 · 20 July · Morning Shift · Physics · Waves and Sound

The frequency of a car horn encountered a change from 400Hz to...

The frequency of a car horn encountered a change from 400Hz400Hz to 500Hz500Hz. When the car approaches a vertical wall. If the speed of sound is 330ms−1330m{s}^{- 1}. Then the speed of car is ___ kmh−1km{h}^{- 1}.The frequency of a car horn encountered a change from 400Hz to 500Hz . When the car approaches a vertical wall. If the

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Step-by-step solution

The frequency of a car horn encountered a change from 400Hz to 500Hz . When the car approaches a vertical wall. If the

Wall as an observer
Frequency received by wall,

f1=f0(CC−V){f}_{1} = {f}_{0}\left(\dfrac{C}{C - V}\right)
Again wall as a source
Frequency received by observer on car,
f2=f1(C+VC){f}_{2} = {f}_{1}\left(\dfrac{C + V}{C}\right)
f2=f0(C+VC−V){f}_{2} = {f}_{0}\left(\dfrac{C + V}{C - V}\right)
500=400(C+VC−V)500 = 400\left(\dfrac{C + V}{C - V}\right)
54=C+VC−V\dfrac{5}{4} = \dfrac{C + V}{C - V}
C=9VC = 9V

V=C9=3309ms−1V = \dfrac{C}{9} = \dfrac{330}{9}m{s}^{- 1}
V=3309×185=132kmh−1V = \dfrac{330}{9} \times \dfrac{18}{5} = 132km{h}^{- 1}

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