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  • How much work must be done to pull apart the electron and the proton that make up the Hydrogen atom, if the atom is initially in the state with <img alt="n = 2" src="/latex-image/?n%20%3D%202"

How much work must be done to pull apart the electron and the proton that make up the Hydrogen atom, if the atom is initially in the state with n = 2

Option: 1

13.6 \times 1.6 \times 10^{-19} \mathrm{~J}


Option: 2

3.4 \times 1.6 \times 10^{-19} \mathrm{~J}


Option: 3

1.51 \times 1.6 \times 10^{-19} \mathrm{~J}


Option: 4

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Answers (1)

best_answer

The electrostatic P.E. is zero when the electron and proton are far apart from each other.
Work done in pulling electron and proton far away from each other

W=E_f-E_i=0-E_i=-\left(-\frac{13.6}{n^2} e V\right)

\Rightarrow \mathrm{W}=\frac{13.6}{(2)^2} \times 1.6 \times 10^{-19} \mathrm{~J}=3.4 \times 1.6 \times 10^{-19} \mathrm{~J}

Posted by

sudhir kumar

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