A wave equation which gives the displacement along $y$-direction is given by $y = 0.001\sin{(100t + x)}$ where $x$ and $y$ are in meter and $t$ is time in second. This represented a wave

Question

Dr. Abubacker · Accepted Answer

(d) Compare the given equation with
$y = a\sin{(\omega t + kx) \Rightarrow \omega = 2\pi n = 100 \Rightarrow n = \frac{50}{\pi}Hz}$
$k = \frac{2\pi}{\lambda} = 1 \Rightarrow \lambda = 2\pi$and $v = \omega/k = 100\ m/s$
Since $' + '$ is given between $t$ terms and $x$ term, so wave is travelling in negatie $x$-direction

Q. A wave equation which gives the displacement along $y$-direction is given by $y = 0.001\sin{(100t + x)}$ where $x$ and $y$ are in meter and $t$ is time in second. This represented a wave

Explanation

Reviewed by Dr. Abubacker

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