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To which orbit k, the electron in the hy...

To which orbit k, the electron in the hydrogen atom will jump on absorbing 12.1 eV of energy ?

A

`2^("rd")` orbit

B

`3^("rd")` orbit

C

`4^("th")` orbit

D

`5^("th")` orbit

Text Solution

Verified by Experts

The correct Answer is:
B
Energy of electron in the `n^th` orbit of H-atom , is
` E_(n) - 13.6/n^(2) eV`
` therefore E_(1) = -13.6 eV " " (as n = 1) `
After aborbing 12.1 eV, the energy will be
` - 13.6 eV + 12.1 eV = - 1.5 eV `
Thus ` - 13.6/2 = -1.5 eV Rightarrow n^(2) = 9 or n =3 `
Thus electron will jump to `3^(rd)` orbit
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