The respective displacements (in cm) of two particles of a medium disturbed by a wave propagating at the rate of 2 ms⁻¹ are given by y₁ = 2 sin(ωt − x/8) and y₂ = 2 sin(ωt − π/8). The speed of the wav

Question

The respective displacements (in cm) of two particles of a medium disturbed by a wave propagating at the rate of 2 ms⁻¹ are given by y₁ = 2 sin(ωt − x/8) and y₂ = 2 sin(ωt − π/8). The speed of the wave is:

Accepted Answer

Answer: 24 cm s⁻¹ — Given ω = 3π ∴ f = 1. 5= ω /2π Δx = 1. 0 cmgiven ϕ = Δx 2π/ λ ⇒ π/ 8= 2π /λ ⇒ λ = 16 cm ⇒ v = fλ = 16 × 1. 5 = 24 cm sec−1

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