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JEE Main 20199 JanuaryEvening Shift
Exam
JEE Main
Year
2019
Date
9 January
Shift
Evening Shift
Subject
Physics
Chapter
Waves and Sound

JEE Main 2019 · 9 January · Evening Shift · Physics · Waves and Sound

A musician using an open flute of length 50cm produces second...

A musician using an open flute of length 50cm50cm produces second harmonic sound waves. A person runs towards the musician from another end of a hall at a speed of 10kmh−110km{h}^{- 1}. If the wave speed is 330ms−1330m{s}^{- 1}, the frequency heard by the running person shall be close to

Options

  1. A333Hz333Hz
  2. B500Hz500Hz
  3. C666Hz666Hz
  4. D753Hz753Hz

Correct answer

C. 666Hz666Hz

Step-by-step solution

Frequency of the observer, fo=2×v2l=3300.5Hz=660Hz{f}_{o} = 2 \times \dfrac{v}{2l} = \dfrac{330}{0.5}Hz = 660Hz

Velocity of person=10kmh−1=10×518ms−1=2.8ms−1= 10km{h}^{- 1} = 10 \times \dfrac{5}{18}m{s}^{- 1} = 2.8m{s}^{- 1}
According to Doppler effect, frequency heard by the person,

f=fov+v0vf = {f}_{o}\dfrac{v + {v}_{0}}{v}

f=660×330+2.8330Hz=666Hzf = 660 \times \dfrac{330 + 2.8}{330}Hz = 666Hz

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