question_answer

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