Question

A plane progressive wave is represented by the equation

Y = 2 sin ( 200πt - 0.5x).

Where the symbols have their usual meaning, find the frequency, period and wavelength.

Answer 1

Answer:

Frequency = 100 hertz, Time period = 0.01 second and wavelength = 2 m

Explanation:

compare given equation by standard equation Y = A Sin(ωt - kx)

Now ω = 2πf

given ω = 200 π  = 2πf ⇒ 100 hertz

Time period = 1/f = 1/100 = 0.01 second

for wavelength

compare from given equation 1/λ = 0.5 ⇒ λ = 2 metre