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JEE Main 2006
Exam
JEE Main
Year
2006
Subject
Physics
Chapter
Waves and Sound

JEE Main 2006 · Physics · Waves and Sound

A whistle producing sound waves of frequencies 9500 ~Hz and above...

A whistle producing sound waves of frequencies 9500 Hz9500 \mathrm{~Hz} and above is approaching a stationary person with speed v ms−1v \mathrm{~ms}^{-1}. The velocity of sound in air is 300 ms−1300 \mathrm{~ms}^{-1}. If the person can hear frequencies upto a maximum of 10,000 Hz10,000 \mathrm{~Hz}, the maximum value of v\mathrm{v} upto which he can hear the whistle is

Options

  1. A30 ms−130 \mathrm{~ms}^{-1}
  2. B152 ms−115 \sqrt{2} \mathrm{~ms}^{-1}
  3. C15/2 ms−115 / \sqrt{2} \mathrm{~ms}^{-1}
  4. D15 ms−115 \mathrm{~ms}^{-1}

Correct answer

D. 15 ms−115 \mathrm{~ms}^{-1}

Step-by-step solution

fapp=f(300)300−v⇒v=15 m/sf_{a p p}=\frac{f(300)}{300-v} \Rightarrow v=15 \mathrm{~m} / \mathrm{s}
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