A progressive wave is represented by \( y = 10 \text{Sin} (1000\pi t – \frac{\pi x}{34}) \) . two layers of the wave separated by 153cm have a phase difference of?
- 2700
- 450
-
900
- 1800
- No Correct Option
The correct answer is: C
Explanation
Comparing \( y = 10 \text{Sin} (1000\pi t - \frac{\pi x}{34}) \) 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
There is an explanation video available .