Question

A progressive wave is given by the equation Y = 0.07 sin (6x - 3t)m. The velocity of the wave is (all quantities are in SI units)

Options

• 6 m/s

• 3 m/s

• 2 m/s

• 0.5 m/s

Answer 1

0.5 m/s

Explanation:

Y = 0.07 sin (6x − 3t) m

Compared to the equation of a progressive wave,

Y = A sin (kx − ωt)

k = 6, ω = 3

Velocity = ω/k = 3/6 = 0.5 m/s