Physics · 2013
JEE Main · 9 April 2013, Shift 1 · Q17
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: y_1=0.05…
When two sound waves travel in the same direction in a medium, the displacements of a particle located at ' $\displaystyle x$ ' at time ' $\displaystyle t$ ' is given by:
$$\begin{aligned}
& y_1=0.05 \cos (0.50 \pi x-100 \pi \mathrm{t}) \\
& y_2=0.05 \cos (0.46 \pi x-92 \pi \mathrm{t})
\end{aligned}
$$
where $\displaystyle y_1, y_2$ and $\displaystyle x$ are in meters and t in seconds. The speed of sound in the medium is :
Official answer
(2)
$\displaystyle 200 \mathrm{~m} / \mathrm{s}$
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JEE Main 2013 Physics question, with the answer from NTA’s final answer key. Where our answers come from.