When two sound waves travel in the same direction in a medium, the displacements of a particle l....
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0When two sound waves travel in the same direction in a medium, the displacements of a particle located
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at ' \( x \) ' at time ' \( t \) ' is given by:
W
\[
\begin{array}{l}
y_{1}=0.05 \cos (0.50 \pi x-100 \pi t) \\
y_{2}=0.05 \cos (0.46 \pi x-92 \pi t)
\end{array}
\]
where \( y_{1}, y_{2} \) and \( x \) are in meters and ' \( t \) ' in seconds.
The speed of sound in the medium is:
(1) \( 92 \mathrm{~m} / \mathrm{s} \)
(2) \( 332 \mathrm{~m} / \mathrm{s} \)
(3) \( 100 \mathrm{~m} / \mathrm{s} \)
(4) \( 200 \mathrm{~m} / \mathrm{s} \)
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