The displacement of a wave is given by y=0.00 | vedclass

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(B) The standard equation for a progressive wave is $y = a \sin(\omega t + kx)$.Comparing the given equation $y = 0.002 \sin(100t + x)$ with the stand

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travelling with a velocity of $100 \ m/s$ in the negative $x$-direction

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(B) The standard equation for a progressive wave is $y = a \sin(\omega t + kx)$.Comparing the given equation $y = 0.002 \sin(100t + x)$ with the standard form,we get:Angular frequency $\omega = 100 \ rad/s$Wave number $k = 1 \ rad/m$Amplitude $a = 0.002 \ m$Frequency $f = \frac{\omega}{2\pi} = \frac{100}{2\pi} = \frac{50}{\pi} \ Hz$.Wave velocity $v = \frac{\omega}{k} = \frac{100}{1} = 100 \ m/s$.Since the sign between $\omega t$ and $kx$ is positive,the wave is travelling in the negative $x$-direction.Therefore,the wave is travelling with a velocity of $100 \ m/s$ in the negative $x$-direction.

The displacement of a wave is given by $y=0.002 \sin (100t + x)$,where $x$ and $y$ are in meters and $t$ is in seconds. This represents a wave:

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