Two identical waves, each with amplitude X0 and intensity I, interfere constructively. What arethe amplitude and intensity of the resultant wave?

The amplitude and intensity of the resultant wave can be calculated as follows:

Step 1: Amplitude of the Resultant Wave When two identical waves interfere constructively, their amplitudes add up. Therefore, the amplitude (A) of the resultant wave is 2X0.

Step 2: Intensity of the Resultant Wave The intensity (I) of a wave is proportional to the square of its amplitude. Therefore, if the amplitude of the resultant wave is 2X0, its intensity is proportional to (2X0)^2 = 4X0^2.

However, since the intensity of each individual wave is I, and the intensity is proportional to the square of the amplitude, we can say that I is proportional to X0^2.

Therefore, the intensity of the resultant wave, which is proportional to 4X0^2, is 4 times the intensity of one of the individual waves. So, the intensity of the resultant wave is 4I.