Question

Write down the expression for the phase velocity of these waves?

Answer 1

The phase velocity of a wave is calculated as ω/k, using the wave function y(x, t) = A sin(kx - ωt), where ω is the angular frequency and k is the wave number.

Step-by-step explanation:

The phase velocity of a wave can be expressed using the wave function y(x, t) = A sin(kx - ωt), where A is the amplitude, k is the wave number, and ω is the angular frequency. For a wave moving with a constant velocity, the phase velocity v_p can be calculated as ω/k, where ω is the angular frequency, and k is the wave number. In the case where the angular frequency of the second wave is twice that of the first wave (ω = 20 s−1), and the wave number is also doubled (k = 2k), the phase velocity would remain the same since velocity is a constant in both waves.