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JEE Main 201910 AprilMorning Shift
Exam
JEE Main
Year
2019
Date
10 April
Shift
Morning Shift
Subject
Physics
Chapter
Waves and Sound

JEE Main 2019 · 10 April · Morning Shift · Physics · Waves and Sound

A stationary source emits sound waves of frequency 500Hz . Two...

A stationary source emits sound waves of frequency 500Hz500Hz . Two observers moving along a line passing through the source detect sound to be of frequencies 480Hz480Hz and 530Hz530Hz . Their respective speeds are, in ms−1m{s}^{- 1} ,
(Given speed of sound =300m/s= 300m / s )

Options

  1. A16,1416, 14
  2. B12,1612, 16
  3. C12,1812, 18
  4. D8,188, 18

Correct answer

C. 12,1812, 18

Step-by-step solution

Frequency observed by observer A, fA=500{f}_{A} = 500\left(\dfrac{300 - {V}_{A}}{300}\right)<br/><br/>480 = 500\dfrac{( 300 - {V}_{A} )}{300}<br/><br/>{V}_{A} = \dfrac{1500 - 1440}{5}<br/><br/>= 12m / s<br/>FrequencyobservedbyobserverB,<br/>Frequency observed by observer B,{f}_{B} = 500(300+VB300)\left(\dfrac{300 + {V}_{B}}{300}\right)
530=500530 = 500\left(\dfrac{300 + {V}_{B}}{300}\right)<br/><br/>{V}_{B} = 18m / s
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