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 : $\begin{aligned} & y _ { 1 } = 0.05 \cos ( 0.50 \pi x - 100 \pi t ) \\ & y _ { 2 } = 0.05 \cos ( 0.46 \pi x - 92 \pi t ) \end{aligned}$ 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) $200 \mathrm {~m} / \mathrm { s }$ (3) $100 \mathrm {~m} / \mathrm { s }$ (4) $332 \mathrm {~m} / \mathrm { s }$
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 : $\begin{aligned} & y _ { 1 } = 0.05 \cos ( 0.50 \pi x - 100 \pi t ) \\ & y _ { 2 } = 0.05 \cos ( 0.46 \pi x - 92 \pi t ) \end{aligned}$ 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) $200 \mathrm {~m} / \mathrm { s }$\\
(3) $100 \mathrm {~m} / \mathrm { s }$\\
(4) $332 \mathrm {~m} / \mathrm { s }$