The displacement \( y \) of a particle in a medium can be expressed as \( y=10^{-6} \sin \left(1...

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The displacement \( y \) of a particle in a medium can be expressed as \( y=10^{-6} \sin \left(100 t+20 x+\frac{\pi}{4}\right) \mathrm{m} \), where \( t \) is in second and \( x \) is in metre. The speed of the wave is
(a) \( 2000 \mathrm{~ms}^{-1} \)
(b) \( 5 \mathrm{~ms}^{-1} \)
(c) \( 20 \mathrm{~ms}^{-1} \)
(d) \( 5 \pi \mathrm{ms}^{-1} \)
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