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Question: Answered & Verified by Expert
Two waves of wavelengths $99 \mathrm{~cm}$ and $100 \mathrm{~cm}$ both travelling with velocity $396 \mathrm{~m} / \mathrm{s}$ are made to interfere. The number of beats produced by them per second is
PhysicsWaves and SoundBITSATBITSAT 2013
Options:
  • A 1
  • B 2
  • C 4
  • D 8
Solution:
2165 Upvotes Verified Answer
The correct answer is: 4
Velocity of wave $\mathrm{v}=\mathrm{n} \lambda$ where $n=$ frequency of wave $\Rightarrow n=\frac{v}{\lambda}$

$\mathrm{n}_{2}=\frac{\mathrm{v}_{2}}{\lambda_{2}}=\frac{396}{100 \times 10^{-2}}=396 \mathrm{~Hz}$

no. of beats $=\mathrm{n}_{1}-\mathrm{n}_{2}=4$

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