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Question: Answered & Verified by Expert
On producing the waves of frequency \( 1000 \mathrm{~Hz} \) in a Kundt's tube, the total distance between \( 6 \) successive nodes is \( 85 \mathrm{~cm} \). Speed of sound in the gas filled in the tube is
PhysicsWaves and SoundJEE Main
Options:
  • A \( 330 \mathrm{~m} \mathrm{~s}^{-1} \)
  • B \( 340 \mathrm{~m} \mathrm{~s}^{-1} \)
  • C \( 350 \mathrm{~m} \mathrm{~s}^{-1} \)
  • D \( 300 \mathrm{~m} \mathrm{~s}^{-1} \)
Solution:
2375 Upvotes Verified Answer
The correct answer is: \( 340 \mathrm{~m} \mathrm{~s}^{-1} \)

In Kundt's tube, the distance between two successive nodes is λ2, where λ is the wavelength of the wave in the tube.

Speed of sound in any medium is 
v=fλ, where f is the frequency of the wave. 

 

Here, distance between 6 successive nodes is 
5λ2=85 cm 
λ=34 cm=0.34 m 
Now, speed of sound in the tube 
v=fλ 
=1000×0.34 
=340 m s-1

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