The displacement y of a wave travelling in the x-direction is given by |
\[y={{10}^{-4}}\sin \left( 600\,t-2x+\frac{\pi }{3} \right)\] metre |
where, \[x\] is expressed in metres and t in seconds. The speed of the wave motion, in \[m{{s}^{-1}}\] is [AIEEE 2003] |
A) 300
B) 600
C) 1200
D) 200
Correct Answer: A
Solution :
[a] If a wave equation is given, in order to determine the wave characteristics. We compare the given wave (or oscillation) with the general equation of wave. |
The given equation of wave |
... (i) |
Standard equation of wave |
... (ii) |
Now, comparing Eqs. (i) and (ii), we get |
and k = 2 |
Velocity of wave |
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