An electron in the hydrogen atom jumps from excited state n to the ground state. The wavelength so emitted illuminates a photosensitive material having work function 2.75 eV. If the stopping potential of the photoelectron is 10 V, then the value of n is 1) 5 (2) 2 B) 3 (4) 4
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Explanation:
Given An electron in the hydrogen atom jumps from excited state n to the ground state. The wavelength so emitted illuminates a photosensitive material having work function 2.75 ev. If the stopping potential of the photo electron is 10 v, then the value of n is
Now the electron jumps from an exited state to ground state.
So in the ground state n = 1. Now there is a wavelength λ and the work function is given by φ = 2.75 eV
Stopping potential Vo = 10 V
The energy released E = work function + kinetic energy
So E = K.E + φ
E = e Vo + φ
= e x 10 + 2.75 e
Energy E = 12.75 eV
Now we need to find the value of n
Now E = - 13.6 Z^2 / n^2 is in the ground state.
So E1 = - 13.6 eV
So if we put n = 4 and z = 1 we get
E2 = - 13.6 x 1 / 16
= - 0.85
Now E2 – E1 will be
So – 0.85 – (- 13.6) = 12.75 eV
So both the energy will be equal when n = 4
Reference link will be
brainly.in/question/16271581
Explanation:
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