Final answer:
In Physics, when two sine waves of the same frequency and amplitude are combined, constructive interference will double the amplitude while destructive interference will result in zero amplitude. The frequency is the inverse of the period, and the intensity of a wave increases with the square of its amplitude.
Step-by-step explanation:
The subject of this question is Physics, which involves understanding the principles of waves, frequency, amplitude, and interference. When two sine waves of the same frequency and amplitude are added together, the result depends on their phase difference. If they are in phase (phase difference of 0°), they will interfere constructively, and the amplitude of the resulting wave will be twice the original amplitude (constructive interference). If the two waves have a phase difference of 180°, they will interfere destructively, and the amplitude of the resulting wave will be zero (destructive interference). The amplitude of a sine wave oscillates between +1 and -1 every 2 radians, meaning that the period of oscillation is 2π for a single cycle. The frequency of the wave is given by f = 1/T, where T is the period. Keeping in mind that the intensity of a wave is proportional to the amplitude squared, pure constructive interference of two identical waves results in an intensity that is four times greater than the intensity of the individual waves.