MCQ
The equation of a wave is $y = 2\sin \pi (0.5x - 200t)$, where $x$ and $y$ are expressed in $cm$ and $t$ in $sec.$ The wave velocity is ...... $cm/sec$
- A$100$
- B$200$
- C$300$
- ✓$400$
✓
Answer
Correct option: D.
$400$
d
(d) Comparing given equation with standard equation of progressive wave.
(d) Comparing given equation with standard equation of progressive wave.
The velocity of wave
$v = \frac{{\omega \,({\rm{\,\,Co \,- \,efficient \,\,of \,\,}}t{\rm{)}}}}{{k\,({\rm{\,\,Co\, -\, efficient \,\,of\,\, }}x)}} = \frac{{200\pi }}{{0.5\pi }} = 400\,cm/s$
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