Question

The velocity of progressive wave which produces the stationary wave, $y=2$ sin($\frac{\pi x}{100}$) $cos\left(\pi t\right)$ m :

• A. $100m/s$
• B. $1m/s$
• C. $50m/s$
• D. $1000m/s$

Answer 1

Answer: (A)

$100m/s$

Given,

$y=2sin\left(\frac{\pi x}{100}\right).cos\left(\pi t\right)$

$y=sin(\frac{\pi }{100}x+\pi t)+sin(\frac{\pi }{100}x-\pi t)$

From the above equation,

$k=\frac{\pi }{100}$

$\omega =\pi$

The velocity of wave,

$v=\frac{\omega }{k}=\frac{\pi }{\pi }\times 100$

$v=100m/s$

The correct option is A.