What is the length of a one-dimensional box in which an electron in the n=1 state has the same energy as a photon with a wavelength of 700 nm ?

Respuesta :

Wavelength of the photons is λ  = 700 *10^-9 m

Energy of the photon is  E  = h c / λ

= 6.625*10^-34 J s * 3.00*10^8 m/s / 700*10^-9 m

= 2.83*10^-19 J

The length of a one-dimensional box in which an electron in the n=1 state  is

E  = n^2 h^2 / 8 m L^2

2.83*10^-19 J  = 1 * ( 6.625*10^-34 Js )^2 / 8 * 9.11*10^-31 kg * L^2

L  =  4.6*10^-10m    

What is Wavelength?

  • The distance between wave crests, or a person's overall attitude, is called a wavelength.
  • The distance between two waves' crests serves as an illustration of wavelength.
  • When you and another person have the same overall mindset and can easily communicate, it is an example of being on the same wavelength.
  • The SI unit is the metre (m). The largest distance a particle may travel from its mean location is its amplitude. Frequency is defined as the total number of oscillations that occur in a unit of time.

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