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BITSAT 2013
Exam
BITSAT
Year
2013
Subject
Physics
Chapter
Waves and Sound

BITSAT 2013 · Physics · Waves and Sound

Two waves of wavelengths 99 cm and 100 cm both travelling with...

Two waves of wavelengths 99cm99 \mathrm{ cm} and 100cm100 \mathrm{ cm} both travelling with velocity 396m/s396 \mathrm{ m} / \mathrm{s} are made to interfere. The number of beats produced by them per second is

Options

  1. A1
  2. B2
  3. C4
  4. D8

Correct answer

C. 4

Step-by-step solution

Velocity of wave v=nλ\mathrm{v}=\mathrm{n} \lambda where n=n= frequency of wave ⇒n=vλn2=v2λ2=396100×10−2=396Hz\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 =n1−n2=4=\mathrm{n}_{1}-\mathrm{n}_{2}=4
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