Q32 / 117 · NTA Abhyas (JEE Main) 2020 · Physics · Waves and Sound

A man is standing on the platform and one train is approaching and another train is going away with the speed of 4 m s-1, frequency of sound produced by train is 240 Hz. What will be the number of beats heard by him per second? (velocity of sound = 300 m s-1)

  • A
    12
  • B
    Zero
  • Correct answer
    C
    6
  • D
    3

Solution

The apparent frequency heard by the man is given by

napp=nv±vov±vs

On our case,vo=0

∴napp=nvv±vs

Given, v=300 m s-1, vs=4 m s-1, n=240 Hz

In the first case, the train is approaching the man, so frequency heard

n1=nvv±vs=240300300-4

=240×300296=243.24 Hz

In the second case, the train is going away from the man, so frequency heard

n2=nvv+vs=240 300300+4

=240×300304=236.84 Hz

Hence, the number of beats heard by the man per second

=n1-n2

=243.24-236.84=6.4≈6

Hence, the correct answer is option: 'C'.

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