Question

The displacement y of a particle in a medium can be expressed as, y = `10^-6sin(100t + 20x + pi/4)` m where t is in second and x in meter. The speed of the wave is ______.

Options

• 20 m/s

• 5 m/s

• 2000 m/s

• 5π m/s

Answer 1

The displacement y of a particle in a medium can be expressed as, y = `10^-6sin(100t + 20x + pi/4)` m where t is in second and x in meter. The speed of the wave is 5 m/s.

Explanation:

Given, y = `10^-6sin(100t + 20x + pi/4)` m

Comparing it with the standard equation, we get ω = 100 and k = 20

v = `omega/k = 100/20` = 5 m/s