Final answer:
Without the specific wave equation, it is not possible to determine when the displacement of the wave equals 0.1 cm from the given options.
Step-by-step explanation:
The student's question relates to the moment when the displacement of a wave is equal to 0.1 cm. To determine the correct answer, we would need the wave equation, which is not provided. However, we can use the general knowledge that displacement in a wave is a function of both the position (x) and the time (t) and can be described by an equation similar to y(x, t). In simple harmonic motion, the displacement of a wave can reach the amplitude at certain times during the period. Without the specific wave equation or more details about the wave's properties such as frequency, amplitude, or phase shift, it is not possible to definitively determine when the displacement of the wave is equal to 0.1 cm from the provided options (A, B, C, D).