Changing the amplitude of a sine wave affects its shape, but not its time period or frequency. Let me explain in more detail:
Shape: The amplitude of a sine wave determines the maximum distance the wave reaches from its equilibrium position. Increasing the amplitude makes the wave taller, while decreasing the amplitude makes it shorter. Essentially, the wave's "height" or "peak" changes, which alters its visual representation.
Time Period: The time period of a sine wave refers to the duration it takes to complete one full cycle. It is determined solely by the frequency of the wave and is not affected by its amplitude. The time period remains constant regardless of any changes in the amplitude.
Frequency: The frequency of a sine wave represents the number of complete cycles it completes per unit of time. It determines how quickly the wave oscillates. Changing the amplitude does not affect the frequency of the sine wave. The frequency remains constant regardless of the amplitude.
In summary, altering the amplitude of a sine wave changes its shape by modifying the maximum distance it reaches from the equilibrium position. However, it does not affect the time period or frequency of the wave, which remain constant.