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When two sounds waves travel in the same direction in a medium, the displacements of a particle located at 'X' at time 't' is given by :

$y_{1}=0.05 \; cos \; (0.50\; \pi x-100\pi t)$

$y_{2}=0.05 \; cos \; (0.46\; \pi x-92\pi t)$

where $y_{1}\; y_{2}$ and x are in meters and t in seconds. The speed of sound in the medium is :
Option: 1
92 m/s

Option: 2
200 m /s

Option: 3
100 m/s

Option: 4
332 m /s

Answers (1)

best_answer

$Wave \ speed \ V=\frac{\omega}{k}=\frac{100 \pi}{0.50 \pi}=200 m / s$

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shivangi.bhatnagar

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