Question

Suppose the energy of an electron is hydrogen – like atom is given asEn=- 54.4/neV where n e N. Calculate the following : a) Sketch the energy levels for this atom and compute its atomic number. b) If the atom is in ground state, compute its first excitation potential andalso its ionization potential.​

Answer 1

Answer:

Maximum energy is liberated for transition E

n

→1 and minimum energy for E

n

→E

n−1

Hence,

n

2

E

1

−E

1

=52.224eV...(i)

and

n

2

E

1

−

(n−1)

2

E

1

=1.224eV...(ii)

Solving Eqs. (i) and (ii) we get

E

1

=−54.4eV;

and n=5

But E

1

=−

1

2

13.6Z

2

⇒Z=2