Calculate the wavelength of the electromagnetic radiation required to excite an electron from the ground state to the level with in a one-dimensional box 34.0 pm in length.

The question is incomplete. The complete question is :

Calculate the wavelength of the electromagnetic radiation required to excite an electron from the ground state to the level with n = 6 in a one-dimensional box 34.0 pm in length.

Solution :  

In an one dimensional box, energy of a particle is given by :

Here, h = Planck's constant

         n = level of energy

           = 6

         m = mass of particle

         a = box length

For n = 6, the energy associated is :

We know that,

Here, λ = wavelength

         h =  Plank's constant

         c = velocity of light

So the wavelength,

 m

= 108 pm

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