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Question: Answered & Verified by Expert
The velocity of sound is $340 \mathrm{~m} / \mathrm{s}$. A source of sound having frequency of $90 \mathrm{~Hz}$ is moving towards a stationary observer with a speed of one-tenth that of sound. The apparent frequency of sound as heard by the observer is
PhysicsWaves and SoundMHT CETMHT CET 2022 (08 Aug Shift 1)
Options:
  • A $45 \mathrm{~Hz}$
  • B $100 \mathrm{~Hz}$
  • C $80 \mathrm{~Hz}$
  • D $50 \mathrm{~Hz}$
Solution:
1495 Upvotes Verified Answer
The correct answer is: $100 \mathrm{~Hz}$
Apparent frequency of sound heard by the observer is:
$f=f_0\left(\frac{v}{v-v_s}\right)$
Where, $v=340 \mathrm{~m} / \mathrm{s}$ is the speed of sound \& $v_s=v / 10$ is the speed of the source morning towards the observer.
$\therefore f=90\left(\frac{v}{v-\frac{v}{10}}\right) \mathrm{Hz}=90\left(\frac{10}{9}\right) \mathrm{Hz}=100 \mathrm{~Hz}$

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