If the wavelength of a sound wave increases, the speed of sound remains constant in a given medium. In other words, the speed of sound is not directly affected by changes in wavelength. The speed of sound in a specific medium is determined by the properties of that medium, such as its elasticity and density.

The speed of sound in a medium can be calculated using the formula:

Speed of Sound (v) = √(Elasticity / Density)

• Elasticity refers to the material’s stiffness or how quickly it can transmit mechanical waves.
• Density is the mass of the material per unit volume.

Wavelength, on the other hand, is related to the frequency of the sound wave and the speed of sound in the medium. The formula for calculating the wavelength (λ) of a sound wave is:

Wavelength (λ) = Speed of Sound (v) / Frequency (f)

So, if the wavelength of a sound wave were to increase while the frequency remains the same, it would not alter the speed of sound in that particular medium. Changes in wavelength are typically associated with variations in the physical properties of the wave, such as its frequency or the characteristics of the source, but they do not directly impact the speed of sound in the medium itself.