The diagram above illustrates two waves of equal amplitudes A and frequencies approaching each other. When the two waves meet at a point I midway between th...

The diagram above illustrates two waves of equal amplitudes A and frequencies approaching each other. When the two waves meet at a point I midway between them, the vertical displacement of the resulting wave will be

Answer Details

When two waves of equal amplitude and frequency approach each other, they interfere with each other. The interference can be constructive or destructive, depending on the phase difference between the waves. In this particular scenario, the two waves have the same amplitude and frequency, and they meet at a point I midway between them. At this point, the two waves are in phase with each other, which means that the crest of one wave coincides with the crest of the other wave, and the same is true for the troughs. When two waves are in phase with each other, they reinforce each other, resulting in constructive interference. The amplitude of the resulting wave is the sum of the amplitudes of the two waves. In this case, the resulting wave will have an amplitude of 2A, which is twice the amplitude of each individual wave. Therefore, the answer is 2A, as the resulting wave will have an amplitude of twice the amplitude of each individual wave due to constructive interference.