Standard equation y(x,t)=Acos(Vωx−ωt) From any of the displacement equation Say y1 Vω=0.50π and ω=100π ∴V100π=0.5π ∴V=0.5π100π=200 m/s
When two sound waves travel in the same direction in a medium, the displacements of a particle located at ' x ' at time ' t ' is given by : $\begin{aligned}
& y_1=0.05 \cos (0.50 \pi x-100 \pi t) \
& y_2=0.05 \cos (0.46 \pi x-92 \pi t)
\end{aligned}wherey_1, y_2andxareinmetersandt$ in seconds. The speed of sound in the medium is :
Held on 9 Apr 2013 · Verified 6 Jul 2026.
92 m/s
200 m/s
100 m/s
332 m/s
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Work through every JEE Main Waves & Oscillations PYQ, year by year.