How does the maximum speed of photoelectrons change with decreasing wavelength of radiation introducing

How does the maximum speed of photoelectrons change with decreasing wavelength of radiation introducing the photoelectric effect?

Einstein’s equation allows to determine the speed of photoelectrons:

hν = Aout + mV ^ 2/2, where h is Planck’s constant, ν is the frequency of light, Aout is the work function, V is the maximum speed of electrons, m is the mass of an electron.

The frequency ν and the wavelength λ are related by the relationship:

ν = c / λ, where c is the speed of light.

We get:

hc / λ = Aout + mV ^ 2/2;

v ^ 2 = (2 (hc / λ – Aout)) / m

v = √ ((2 (hs / λ – Aout)) / m);

The expression under the root and with it the value of the maximum electron velocity V increases with decreasing wavelength λ (provided that hc / λ> Aout).

Answer. With decreasing wavelength, the maximum speed of photoelectrons increases.