Question

A progressive wave is represented by y = 5 sin (100 $\pi$t – 2$\pi$x) where x and y are in m and t is in s. The maximum particle velocity is

• A. 100$\pi$ m s–1
• B. 200$\pi$ m s–1
• C. 400$\pi$ m s–1
• D. 500$\pi$ m s–1

Answer 1

Answer: (D)

500$\pi$ m s–1

Answer 2

The give progressive wave is

$y = 5\sin(100\pi t - 2\pi x)$

Particle velocity,

$v_{p} = \frac{dy}{dt} = 500\pi\sin(100\pi t - 2\pi x)$

${v - 1}_{P\max}$