Time left 0:54:06Question 5Not yet answeredMarked out of 2.00Flag questionQuestion textA progressive wave equation is given as y=0.65sine1.2x -0.4t).Determine the period of the wave(ii) Determine the   wave velocitya.16.7seconds (ii) 0.033m/sb.15.7 seconds (ii) 0.333m/sc.17.7 seconds (ii) 3.33m/sd.15.2seconds (ii) 0.333m/se.2seconds (ii) 33.3m/s

To determine the period of the wave, we need to find the value of the coefficient in front of the x variable in the wave equation. In this case, the coefficient is 1.2. The period of a wave is given by the formula T = 2π/ω, where ω is the angular frequency. The angular frequency is equal to 2π divided by the coefficient in front of the x variable. So, in this case, the angular frequency is 2π/1.2 = 5.24.

To determine the wave velocity, we need to find the value of the coefficient in front of the t variable in the wave equation. In this case, the coefficient is -0.4. The wave velocity is given by the formula v = λ/T, where λ is the wavelength and T is the period. The wavelength is equal to 2π divided by the coefficient in front of the x variable. So, in this case, the wavelength is 2π/1.2 = 5.24.

Now, we can calculate the wave velocity using the formula v = λ/T. Substituting the values, we get v = 5.24/5.24 = 1 m/s.

Therefore, the correct answer is (ii) 0.333 m/s.