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Question: Answered & Verified by Expert
A resonance air column of length $20 \mathrm{~cm}$ resonates with a tuning fork of frequency $250 \mathrm{~Hz}$. The speed of sound in air is
PhysicsWaves and SoundJEE Main
Options:
  • A 300 m/s
  • B 200 m/s
  • C 150 m/s
  • D 75 m/s
Solution:
1375 Upvotes Verified Answer
The correct answer is: 200 m/s
Length of air column l $=20 \mathrm{~cm}=0.2 \mathrm{~m}$
In resonance air column,
$\lambda=4 l=4 \times 0.2=0.8 \mathrm{~m}$
Now, $\lambda=0.8 \mathrm{~m}$ and $v=250 \mathrm{~Hz}$
Hence, speed of sound in air $v=v \lambda=250 \times 0.8=200 \mathrm{~m} / \mathrm{s}$

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