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The total energy of an electron in the f...

The total energy of an electron in the first excited state of hydrogen atom is -3.4eV. What is the kinetic energy of the electron in this state ?

A

2.55 eV

B

4.25 eV

C

11.25 eV

D

19.55 eV

Text Solution

Verified by Experts

The correct Answer is:
D

(d) Energy of photon corresponding to second line to Balmer series for `Li^(2+)` ion
`=(13.6)xx(3)^2 [1/(2^2) - 1/(4^2)] = 13.6 xx (27)/(16) = 22.95 eV`
Energy needed to reject electron from n = 2
level in H - atom `=13.6 xx 1^2 [1/(2^2) - 1/(oo^2)]`
`=(13.6)/(4) eV = 3.4 eV`
`Delta E = 22.95 - 34 = 19 .55 eV`
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