Question

The electron in a ground-state h atom absorbs a photon of wavelength 97.25 nm. To what energy level does the electron move?

Answer 1

electron move in N = 4.

what is energy levels in atoms and to calculate energy level ?

Energy level refers to a fixed distance from an atom’s nucleus where electrons may exist. Furthermore, energy levels can be thought of like the steps of a staircase. Just like one can stand on one step or another but not in between the steps, electrons also can occupy one energy level or another but not the space that is present between energy levels.

given :-

 wavelength = 97.25nm.

 E = $\frac{1240}{wavelength( in nm)}$

     = $\frac{1240}{97.25}$

energy of photon  = 12.5ev.

The ground state energy of hydrogen atom is -13.6 eV.

Transition energy for hydrogen atom is given by:-

ΔE = $-R(\frac{1}{(n2)^{2} } -\frac{1}{(n1^{2} )} )$

where, R = 13.6eV

           n1 = 1

           n2 = n

putting this values in above equation:-

12.75 = -13.6 $(\frac{1}{n^{2} }-1)$

    $\frac{1}{n^{2} }$  = -09375 + 1

    $n^{2}$ = 16

     n = 4.

Thus from the above conclusion we can say that energy level where electron move is N=4.

Learn more about the hydrogen spectrum here:https://brainly.com/question/18729120

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