Two waves represented as x = a sin(ωt + π/6), x = a cos ωt, then resultant phase difference between them is:

Question

Question

Answer 1

CONCEPT:

The equation of wave is given in the form

y = A sin(ωt + ϕ)

where the amplitude is A, ω is the angular frequency (ω = 2π/T), ϕ is the initial phase, and y is changing position with respect to time t.

CALCULATION:

Given that:

x = a sin(ωt + π/6)

Initial phase (ϕ₁) = π/6

x = a cos ωt = a sin (ωt + π/2)

Initial phase (ϕ₂) = π/2

So phase difference = ϕ₂ - ϕ₁ = π/2 - π/6 = π/3

Hence option 1 is correct.