Question

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 Eliminate

Answer 1

Answer: A)

Explanation: A wave with a constant speed is inversely proportional to the wavelength. So, the wavelength would decrease as the frequency of wave increases.

Answer 2

A) because wave speed remains constant.

Step-by-step explanation:

The wave speed of a wave in a medium depends on the nature of the medium.

For transverse waves in a string given by,

`v = \sqrt{(T)/(m)}`, T = tension , m = linear density

For longitudinal waves in a solid,

`v = \sqrt{(ξ)/(ρ)}`, ξ = modulus of elasticity, ρ = density

Like wise for different media, different properties and parameters govern the speed of waves moving through them.

It is important to mind in v = fλ ,f or λ does not influence on speed of wave in a medium but shows how f and λ varies as a wave propagate in a medium(/media).