The velocity of the  plane wave sin2 (ωt- βx) isans.ω/2β2ω/βω/βω2/β2 Previous Marked for Review Next

The velocity of a plane wave is given by the formula v = ω/β.

Here's the step by step solution:

1. The general equation for a plane wave is given by y = A sin(ωt - βx + φ), where:

   • A is the amplitude of the wave
   • ω is the angular frequency
   • t is the time
   • β is the wave number
   • x is the position
   • φ is the phase constant

2. In the given wave equation sin2 (ωt- βx), ω is the angular frequency and β is the wave number.

3. The velocity of the wave (v) is given by the ratio of the angular frequency to the wave number, i.e., v = ω/β.

So, the velocity of the plane wave sin2 (ωt- βx) is ω/β.