Question

The displacement y of a wave traveling in the X-direction is given by $y={10}^{-4}\sin (600t-2x+\frac{\pi }{3})$ metres. where $x$ is expressed in metres and $t$ in $seconds$. The speed of the wave motion in $m{s}^{-1}$ is:

• A. $200$
• B. $300$
• C. $600$
• D. $1200$

Answer 1

The correct option is B $300$

$y={10}^{-4}sin(600t-2x+\frac{\pi }{3})$

Here, $W=600/s$

$K=2/m$

Speed of wave $V=W/K$

$=600/2$

$=300m/s$

$\therefore$ Option (B) is correct.