Question

The equation of a wave is given by y = 3sin(4x-2t). What is the time period and wavelength of the wave?

(a) T = 2π, λ = 2π

(b) T = π, λ = 2π

(c) T = π, λ = π/2

(d) T = π/2, λ = π

The question was asked during an interview.

This interesting question is from Displacement Relation in a Progressive Wave in portion Waves of Physics – Class 11

Answer 1

Correct option is (c) T = π, λ = π/2

The best I can explain: From the equation we get: k=4 & w=2.

Wavelength is given by 2π/k = 2π/4 = π/2.

Time period = 2π/w

= 2π/2 = π.