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  • Two Plane harmonic sound waves are expressed by the equation <img alt="y_1(x, t)=A \cos (0.7 \pi x-200 \pi t)" src="https://entrancecorner.oncodecogs.com/gif.latex?y_1%28x%2C%20t%29%3DA%2

Two Plane harmonic sound waves are expressed by the equation

y_1(x, t)=A \cos (0.7 \pi x-200 \pi t)

y_2(x, t)=A \operatorname{cos}(0.38\pi x-160 \pi t)

How many times does an observer hear maximum intensity in one second?


 

Option: 1

40


Option: 2

10


Option: 3

30


Option: 4

20


Answers (1)

best_answer

\left|f_1-f_2\right| =\frac{w_1-w_2}{2 \pi} \\

w_1 =200 \pi \\

w_2 =160 \pi \\

\text { Then } f_1-f_2 =\frac{200 \pi-160 \pi}{2 \pi} \\

=\frac{40 \pi}{2 \pi}=20

Posted by

Rishabh

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