Why does the frequency of a wave increase as the wavelength decreases?

A) because the wave speed remains constant

B) because the amplitude of the wave must remain constant

C) because the frequency must get larger to increase the speed

D) because the wavelength must get smaller to decrease the speed

Respuesta :

Answer: The correct answer is " because the wave speed remains constant".

Explanation:

The expression of the wavelength in terms of the frequency is as follows;

[tex]\lambda =\frac{c}{f}[/tex]

Here, c is the speed of the light, f is the frequency of the wave and [tex]\lambda[/tex] is the wavelength of the wave.

The wavelength of the wave is inversely proportional to the frequency of the wave as the speed of the wave remains constant.

If the wavelength of the wave decreases then the frequency of the wave increases.

Therefore, the frequency of a wave increases as the wavelength decreases because the wave speed remains constant.

The correct option is (A).

When the frequency of the wave has increased the wavelength decreased because the speed of the wave is constant.

What is wavelength?

It is the distance between two consecutive crests or troughs. The relation between frequency of the wave, wavelength, and speed is,

[tex]f = s\lambda[/tex]

Where,

[tex]f[/tex] - frequency

[tex]s[/tex] - speed  = constant

[tex]\lambda[/tex] - wavelength

From the equation, the frequency of the wave and wavelength are inversely proportional to each other and speed is constant.

Therefore, when the frequency of the wave is increased the wavelength decreased.

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