Question 219: Waves

Question

The displacement $$y$$ of a particle in a medium can be expressed as, $$y = {10^{ - 6}}\,\sin $$ $$\left( {100t + 20x + {\pi  \over 4}} \right)$$ $$m$$ where $$t$$ is in second and $$x$$ in meter. The speed of the wave is

Accepted Answer

From equation given,
$$\omega  = 100$$ and $$k = 20,$$ $$v = {\omega  \over k} = {{100} \over {20}} = 5m/s$$

Answer

$$20\,\,m/s$$

Answer

$$5\,m/s$$

Answer

$$2000\,m/s$$

Answer

$$5\,\pi \,m/s$$

Waves

The displacement $y of a particle in a medium can be expressed as, y = {10^{ - 6}}\,\sin \left( {100t + 20x + {\pi \over 4}} \right) m where t is in second and x$ in meter. The speed of the wave is

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