A) Of frequency \[\frac{100}{\pi }\] Hz
B) Of wavelength one metre
C) Travelling with a velocity of \[\frac{50}{\pi }\]ms?1 in the positive X-direction
D) Travelling with a velocity of 100 ms?1 in the negative X-direction
Correct Answer: D
Solution :
Compare the given equation with \[y=a\sin (\omega t+kx)\] Þ \[\omega =2\pi n=100\] Þ \[n=\frac{50}{\pi }Hz\] \[k=\frac{2\pi }{\lambda }=1\] Þ \[\lambda =2\pi \] and \[v=\omega /k=100\]\[m/s\] Since ?+? is given between t terms and x term, so wave is travelling in negative x-direction.
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