The equation of a plane progressive wave is given by where and are in cm and is in second

Question

The equation of a plane progressive wave is given by $y = 5 \cos π (200 t - \frac{x}{150})$ where $x$ and $y$ are in cm and $t$ is in second. The velocity of the wave is _____ m/s. [2026]

Smart Achievers · Accepted Answer

(4)

$y = 5 \cos π (200 t - \frac{x}{150})$

$y$

Solution

Q.
The equation of a plane progressive wave is given by $y = 5 \cos π (200 t - \frac{x}{150})$ where $x$ and $y$ are in cm and $t$ is in second. The velocity of the wave is _____ m/s. [2026]

1 120

2 150

3 200

4 300

Ans.
(4)

$y = 5 \cos π (200 t - \frac{x}{150})$

$v = \frac{coeff of t}{coeff of x} = \frac{200}{\frac{1}{150} \times 100} = 300 m/s$

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