An electron in the hydrogen atom jumps from excited state n to the ground state

An Electron In The Hydrogen Atom Jumps From Excited State Physics QuestionAn Electron In The Hydrogen Atom Jumps From Excited State Physics Question

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, the value of n is

Options

(a) 3
(b) 4
(c) 5
(d) 2

Correct Answer:

4

Explanation:

KEₘₐₓ = 10 eV ? = 2.75 eV
Total incident energy
E = ? + KEₘₐₓ = 12.75 eV
Energy is released when electron jumps from the excited state n to the ground state.
E₄ – E₁ = {-0.85 – (-13.6) eV}
= 12.75 eV value of n = 4.

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