Q59 / 66 · JEE Advanced 2007 (Paper 2) · Physics

Paragraph: Two trains $A$ and $B$ are moving with speeds $20 \mathrm{~m} / \mathrm{s}$ and $30 \mathrm{~m} / \mathrm{s}$, respectively in the same direction on the same straight track, with $B$ ahead of $A$. The engines are at the front ends. The engine of train $A$ blows a long whistle. Assume that the sound of the whistle is composed of components varying in frequency from $f_1=800 \mathrm{~Hz}$ to $f_2=1120 \mathrm{~Hz}$, as shown in the figure. The spread in the frequency (highest frequency - lowest frequency) is thus $320 \mathrm{~Hz}$. The speed of sound in still air is $340 \mathrm{~m} / \mathrm{s}$.Question: The distribution of the sound intensity of the whistle as observed by the passengers in train $A$ is best represented by

  • Correct answer
    A
    Figure
  • B
    Figure
  • C
    Figure
  • D
    Figure

Solution

For the passengers in train $A$, there is no relative motion between source and observe, as both are moving with velocity $20 \mathrm{~m} / \mathrm{s}$. Therefore, there is no change in observed frequencies and correspondingly there is no change in their intensities. Therefore, the correct option is (a).

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

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