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  • An electron collides with a hydrogen atom in its ground state and excites it to a s tate of <img alt="\mathrm{ n=3.}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B%20n%3D3.

An electron collides with a hydrogen atom in its ground state and excites it to a s tate of \mathrm{ n=3.} How much energy was given to the hydrogen atom in this inelastic collision?
 

Option: 1

13.6 \mathrm{eV}


Option: 2

6.8 \mathrm{eV}


Option: 3

12.1 \mathrm{eV}


Option: 4

1.51 \mathrm{eV}


Answers (1)

best_answer

\mathrm{ \Delta E=E_f-E_i=E_i\left(\frac{1}{n_f^2}-\frac{1}{n_i^2}\right) }
\mathrm{ n_i=1, n_f=3 ~and ~E_1=-13.6 \mathrm{eV},}

\mathrm{so~ \Delta E=-13.6\left(\frac{1}{3^2}-\frac{1}{1^2}\right) \mathrm{er}.}
\mathrm{\Delta E=12.1 \mathrm{eV} }

Posted by

Pankaj

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