Calculate the wavelength of the light emitted when an electron in a one-dimensional box of length 5.4 nmnm makes a transition from the n=9n=9 state to the n=8n=8 state.

Answer : The wavelength of the light emitted is,

Explanation :

The energy level of quantum particle in a one-dimensional box is given as:

or,

where,

= change in energy

n = energy level

h = Planck's constant =

m = mass of electron =

L = length of a one-dimensional box =

Now put all the given values in the above formula, we get:

Now we have to calculate the wavelength of the light emitted.

where,

h = Planck's constant =

c = speed of light =

= wavelength of the light

Now put all the given values in the above formula, we get:

Thus, the wavelength of the light emitted is,

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the answer is a and have a great day