Doubling or halving the amplitude of a sine wave does not have any direct effect on its period or frequency. The period and frequency of a sine wave are determined by factors unrelated to its amplitude.
The period (T) of a sine wave is the time it takes for one complete cycle or oscillation to occur. It is typically measured in seconds. The frequency (f) of the sine wave, on the other hand, is the number of complete cycles that occur in one second. It is measured in hertz (Hz), where 1 Hz represents one cycle per second. The relationship between period and frequency is given by the equation: f = 1 / T.
The amplitude (A) of a sine wave represents the maximum displacement of the wave from its equilibrium position. It is usually measured in units such as meters, volts, or decibels. Doubling or halving the amplitude will alter the height or vertical scale of the wave but will not change its period or frequency.
In summary, doubling or halving the amplitude of a sine wave does not affect its period or frequency. The period and frequency are determined by other factors such as the properties of the medium through which the wave propagates and the physical properties of the source generating the wave.