What occurs when the path difference between two waves is equal to a whole number of wavelengths?

When two waves meet, their interaction is determined by the path difference between them. If the path difference is equal to a whole number of wavelengths, this condition leads to constructive interference. Constructive interference occurs when the crests of one wave align with the crests of another wave, resulting in a wave of greater amplitude.

The mathematical basis for this can be described using the condition for constructive interference: if two waves travel such that the difference in distance they have traveled is nλ (where n is an integer and λ represents the wavelength), they combine to enhance each other's effect. This constructive interaction amplifies the resultant wave.

This phenomenon is commonly seen in various contexts, such as in sound waves, light waves, and water waves, and it is essential in understanding wave behavior in different media. Additionally, the concept of constructive interference is fundamental to applications such as the development of coherent light sources like lasers and the design of acoustics in concert halls.