If the wavelength of a wave in a particular medium is tripled, what will happen to the frequency of the wave

Answer 1

If the wavelength of a wave in a particular medium is tripled, the frequency of the wave will be one-third of its original frequency. This is because the speed of the wave remains constant in a given medium, and the relationship between frequency, wavelength, and speed is given by the equation:

speed = frequency * wavelength

If we triple the wavelength (3λ), while keeping the speed constant, the equation becomes:

speed = frequency * (3λ)

Since the speed remains the same, we can see that:

frequency * (3λ) = frequency * wavelength

Hence, the frequency will become one-third of its original value.