When a transverse plane wave tranverses a medium, individual particles execute periodic motion given by equation y=4 sin (π/2)(2 t+(x/8)). The phase difference (in degree) for two position of same particle which are occupied by time intervals 0.4 s apart is

Question

When a transverse plane wave tranverses a medium, individual particles execute periodic motion given by equation y=4 sin (π/2)(2 t+(x/8)). The phase difference (in degree) for two position of same particle which are occupied by time intervals 0.4 s apart is (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Δ φ=(2 π/T) ⋅ Δ t=ω ⋅ Δ t=π(0.4)=72°

Q. When a transverse plane wave tranverses a medium, individual particles execute periodic motion given by equation $y = 4 sin \frac{π}{2} (2 t + \frac{x}{8})$ . The phase difference (in degree) for two position of same particle which are occupied by time intervals $0.4 s$ apart is

$Δ ϕ = \frac{2 π}{T} \cdot Δ t = ω \cdot Δ t = π (0.4) = 7 2^{\circ}$

Q. When a transverse plane wave tranverses a medium, individual particles execute periodic motion given by equation y=4sin2π​(2t+8x​). The phase difference (in degree) for two position of same particle which are occupied by time intervals 0.4s apart is

Δϕ=T2π​⋅Δt=ω⋅Δt=π(0.4)=72∘

Q. When a transverse plane wave tranverses a medium, individual particles execute periodic motion given by equation $y = 4 sin \frac{π}{2} (2 t + \frac{x}{8})$ . The phase difference (in degree) for two position of same particle which are occupied by time intervals $0.4 s$ apart is

$Δ ϕ = \frac{2 π}{T} \cdot Δ t = ω \cdot Δ t = π (0.4) = 7 2^{\circ}$