Question

If the wavelength of a wave in a particular medium is tripled, what will happen to the frequency of the wave?(1 point)
Responses

It will depend on the speed of the wave.
It will depend on the speed of the wave.

It will become one third of its original value.
It will become one third of its original value.

It will remain constant.
It will remain constant.

It will become triple its original value.

Answer 1

To understand how the frequency changes when the wavelength of a wave is tripled, we can use the wave speed equation:

\[ v = f \cdot \lambda \]

where \( v \) is the wave speed, \( f \) is the frequency, and \( \lambda \) is the wavelength.

If the wavelength \( \lambda \) is tripled (i.e., \( \lambda' = 3\lambda \)), and if we assume that the wave speed \( v \) remains constant (which is typically the case in a given medium), we can rearrange the equation to find the new frequency:

\[ f' = \frac{v}{\lambda'} = \frac{v}{3\lambda} = \frac{1}{3} \cdot \frac{v}{\lambda} = \frac{1}{3} f \]

This means the frequency will become one third of its original value.

Therefore, the correct response is:

**It will become one third of its original value.**