How are wavelength and frequency related?

Question

A.
If the distance between the crests of the waves increase, the frequency decreases.

B.
If the distance between the crests of the waves decrease, the frequency decreases.

C.
If the speed between the crests of the waves increases, the frequency increases.

D.
If the speed between the crests of the waves decreases, the frequency increases.

Answer 1

The correct answer is:

A. If the distance between the crests of the waves increase, the frequency decreases.

Explanation:

Wavelength and frequency are inversely related; this means that as the wavelength (the distance between successive crests) increases, the frequency (the number of crests passing a point per second) decreases. This relationship can be expressed with the formula:

\[ \text{Speed} = \text{Wavelength} \times \text{Frequency} \]

Where:

• Speed is constant in a given medium.
• If wavelength increases, frequency must decrease to keep the product (speed) constant.

Therefore, option A accurately describes the relationship between wavelength and frequency.