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A progressive wave is represented by \( y = 10 \text{Sin}...

A progressive wave is represented by y=10Sin(1000πtπx34) . two layers of the wave separated by 153cm have a phase difference of?

A.

2700

B.

450

C.

900

D.

1800

E.

No Correct Option

Correct answer is C

Comparing y=10Sin(1000πtπx34) with y = A sin (ωt - ϕ)

where ϕ = \frac{2\pi x}{λ}

comparing:  \frac{2\pi x}{λ} = \frac{\pi x}{34}

λ = 34 \times 2 = 68

: ϕ =  \frac{2\pi x}{λ}\frac{2\pi \times 153}{68}

ϕ = 4.5\pi rad = 810° or 90°

since sin 810° or 90° = 1