STANDARD Physics Harmonic Waves MCQ Question
For the travelling harmonic wave y(x, t) = 2 cos2π(10t − 0.008 x + 0.35) where x and y are in cm and t is in s. The phase difference between oscillatory motion of two points separated by a distance of 0.5 m is
0.2π rad
0.4π rad
0.6π rad
0.8π rad
Correct Answer
Detailed Explanation
The given equation is y = 2 cos 2π(10t − 0.008x + 0.35). The standard equation of travelling harmonic wave is y = acos(ωt − kx + ϕ). Comparing, we find k = 0.016π cm⁻¹. The phase difference is Δϕ = 2π/λ × Δx = 2π × 0.008 × 50 = 0.8π rad.
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