Two particles are at x₁ = 0 and x₂ = 1 cm. Their displacements are y₁ = 2 sin(3πt) cm and y₂ = 2 sin(3πt - π/8) cm. Select the correct statements.
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Question

Two particles are at x₁ = 0 and x₂ = 1 cm. Their displacements are y₁ = 2 sin(3πt) cm and y₂ = 2 sin(3πt − π/8) cm. Select the correct statements.

G1 Physics · Accepted Answer

Step 1: Phase difference for 1 cm separation is π/8, so k = (π/8)/(1 cm)=π/8 cm⁻¹. Angular frequency is ω=3π s⁻¹. Step 2: Wave speed v=ω/k=24 cm s⁻¹. Step 3: The wave equation gives y=2 cm at x=4 cm, t=1 s. Final: B and D.