Question

How are the wavelength and frequency of a wave related?

Answer 1

Answer:

frequency increases as wavelength decrease.

Explanation:

frequency = velocity/wavelength

Answer 2

Answer:

Frequncy increases, wavelength decreases

Explanation:

A wave can be defined as the repetitive pattern of a travelling energy. Waves can also be defined as a disturbance from equilibrium (or rest) of a medium which oscillates along a stable region. Examples of waves include: seismic waves, gravitational waves, shock waves, heat waves, sound waves etc

In a standing wave (ie at different points of the wave, amplitude is constant), its properties are:

Amplitude which is the the distance of the disturbance from equilibrium. It can also be defined as the distance between the highest point of the wave(peak or crest) to the lowest point (trough).

Wavelength(lambda) is the distance between one peak to the next peak or one trough to another trough parallel to the direction of propagation.

Frequency, f is the number of times a wave passes a particular point per unit time.

Wave velocity is the speed at which disturbance moves. It can given as an equation:

V = f*(lambda)

It can also be written as:

f = V/(lambda)

From the relationship above,

We can see that an increase in frequency of the wave would lead to a decrease in its wavelength and vice versa.