A progressive wave of frequency 500 Hz is travelling with a velocity of 360 m/s. How far apart are two points `60^@` out of phase ?
(ii)Does the speed of a plane-progressive wave depend on the amplitude ?
(iii)The equation of a progressive wave is represented by `Y=A sin^2 (kx-omegat)`. Find its amplitude and frequency
(iv)Which of the following equations represents a wave travelling along positive y-axis ? (a)x=5 sin (2y-6t) (b) y=6sin (7x-5t) (c ) y=10 sin (6y) cos (8t)

Explanation

Let's solve the question step by step.

### (i) How far apart are two points `60°` out of phase?

1. **Understanding Phase Difference**: The phase difference (φ) between two points is given in degrees. Here, φ = 60°.
2. **Convert Degrees to Radians**: We need to convert degrees to radians for calculations.
\[
φ = 60° = \frac{\pi}{3} \text{ radians}
...