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The energy levels of a hypothetical one ...

The energy levels of a hypothetical one electron atom are given by `E_n = -(18.0)/(n^2) eV`
where n = 1,2,3,…. (a) Compute the four lowest energy levels and construct the energy level diagram.
(b) What is the first excitation potential
(c ) What wavelength (Å) can be emitted when these atoms in the ground state are bombarded by
electrons that have been accelerated through a potential difference of 16.2 V?
(d) If these atoms are in the ground state, can they absorb radiation having a wavelength of 2000 Å ?
(e) what is the photoelectric threshold wavelength of this atom?

Text Solution

Verified by Experts

(a) `E_4 =-3.4 eV, E_3=-6.04 eV, E_2=- 13.6 eV, E_1=-54.4 eV`
(b) 7.56 eV,(c ) `lambda_(32)=1645A^@,lambda_(31)=257A^@, lambda_(21)=304 A^@`
No
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