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JEE Advanced 2006
Exam
JEE Advanced
Year
2006
Subject
Physics
Chapter
Waves and Sound

JEE Advanced 2006 · Physics · Waves and Sound

Paragraph: Two plane harmonic sound waves are expressed by the...

Paragraph: Two plane harmonic sound waves are expressed by the equations. y1(x,t)=Acos⁡(0.5πx−100πt)y2(x,t)=Acos⁡(0.46πx−92πt)\begin{aligned} & y_1(x, t)=A \cos(0.5 \pi x-100 \pi t) \\ & y_2(x, t)=A \cos(0.46 \pi x-92 \pi t) \end{aligned} (All parameters are in MKS)Question: How many times does an observer hear maximum intensity in one second?

Options

  1. A4
  2. B10
  3. C6
  4. D8

Correct answer

A. 4

Step-by-step solution

In one second number of maximas is called the beat frequency. Hence, f_b=f_1-f_2=100π2π−92π2π=\frac{100 \pi}{2 \pi}-\frac{92 \pi}{2 \pi}=4  Hz\mathrm{~Hz}
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