This question involves the concepts of de Broglie's wavelength and momentum.
The velocity of the electron must be "1754.27 m/s".
de Broglie's wavelength is a wavelength associated with a moving matter particle. It is connected to the momentum of the particle by the following formula:
[tex]P =\frac{h}{\lambda}\\\\mv=\frac{h}{\lambda}\\\\v=\frac{h}{m\lambda}\\\\[/tex]
where,
v = velocity of electron = ?
h = Plamk's Constant = 6.625 x 10⁻³⁴ J.s
m = mass of electron = 9.1 x 10⁻³¹ kg
λ = de Broglie's wavelength = 415 nm = 4.15 x 10⁻⁷ m
Therefrore,
[tex]v=\frac{6.625\ x\ 10^{-34}\ J.s}{(9.1\ x\ 10^{-31}\ kg)(4.15\ x\ 10^{-7}\ m)}[/tex]
v = 1754.27 m/s
Learn more about de Broglie's wavelength here:
https://brainly.com/question/20339737?referrer=searchResults
