A progressive wave is represented by \( y = 10 \text{Sin}...
A progressive wave is represented by y=10Sin(1000πt−πx34) . two layers of the wave separated by 153cm have a phase difference of?
2700
450
900
1800
No Correct Option
Correct answer is C
Comparing y=10Sin(1000πt−πx34) 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
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