No, lesser frequency does not necessarily mean higher amplitude. Frequency and amplitude are two distinct properties of a wave that are independent of each other.
Frequency refers to the number of complete cycles or oscillations of a wave that occur in a given time period. It is measured in hertz (Hz) and represents the rate at which the wave repeats itself.
Amplitude, on the other hand, refers to the maximum displacement or magnitude of the wave from its equilibrium position. It represents the maximum amount of energy carried by the wave and determines its intensity or strength.
The frequency and amplitude of a wave are unrelated. A wave can have a high frequency and low amplitude, or a low frequency and high amplitude, or any combination in between.
For example, consider sound waves. A high-frequency sound wave, such as a high-pitched tone, may have a relatively small amplitude (low intensity), while a low-frequency sound wave, such as a low-pitched tone, may have a larger amplitude (higher intensity). The key point is that frequency and amplitude are independent characteristics of a wave, and one does not dictate the other.