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Question: Answered & Verified by Expert
A bus driving along at $39.6 \mathrm{kmph}$ is approaching a person who is standing at the bus stop, while honking repeatedly at an interval of 30 seconds. If the speed of the sound is $330 \mathrm{~m} / \mathrm{s}$, at what interval will the person hear the horn?
PhysicsWaves and SoundKVPYKVPY 2010 (SB/SX)
Options:
  • A 31 seconds
  • B 29 seconds
  • C 30 seconds
  • D the interval will depend on the distance of the bus from the passenger
Solution:
1824 Upvotes Verified Answer
The correct answer is: 29 seconds


$\mathrm{v}=39.6 \mathrm{~km} / \mathrm{hr}=11 \mathrm{~m} / \mathrm{s}, \quad \mathrm{t}_{1}=\frac{\mathrm{d}}{330}$ and $\mathrm{t}_{2}=\frac{\mathrm{d}-11 \times 30}{330}$
Now $\Delta t=t_{1}-t_{2}=1$
now $t_{1}=30 \mathrm{sec} \therefore t_{2}=29 \mathrm{sec}$

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