A plane transverse wave is propagating in a direction making an angle of 30° with positive x-axis in the x-y plane. Find phase difference between points (0, 0, 0) and (1, 1, 1). Wavelength of the wave is 1m:
Options

Question

A plane transverse wave is propagating in a direction making an angle of 30° with positive x-axis in the x-y plane. Find phase difference between points (0, 0, 0) and (1, 1, 1). Wavelength of the wave is 1m:

Options

G1 Physics · Accepted Answer

Step 1: k = 2π/λ = 2π m⁻¹ and the propagation unit vector is cos30° 𝐢 + sin30° 𝐣. Step 2: For Δ𝐫 = 𝐢 + 𝐣 + 𝐤, Δφ = 𝐤·Δ𝐫 = 2π(cos30°+sin30°) = π(√3+1). Final: B.