Wave motionMedium
Question
The equation of a plane progressive wave is given by $y = 5cos\pi\left( 200t - \frac{x}{150} \right)$ where $x$ and $y$ are in cm and $t$ is in second. The velocity of the wave is $\_\_\_\_$ $m/s$
Options
A.120
B.150
C.200
D.300
Solution
Sol. [Key Concept: Wave speed $v =$ (coefficient of $t$)/(coefficient of $x$).]
$$v = \frac{\text{~}\text{coeff of}\text{~}t}{\text{~}\text{coeff of}\text{~}x} = \frac{200}{\frac{1}{150} \times 100} = 300\text{ }m/s $$
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