Physics, asked by sabbir1262, 10 months ago

Consider a hydrogen-like ionized atom with atomic number Z with a single electron. In the emission
spectrum of this atom, the photon emitted in the n = 2 to n = 1 transition has energy 74.8 eV higher than
the photon emitted in the n = 3 to n = 2 transition. The ionization energy of the hydrogen atom is 13.6 eV.
The value of Z is __________.

Answers

Answered by Anonymous
0

Answer:

ANSWER

△E

2−1

=13.6×z

2

[1−

4

1

]=13.6×z

2

[

4

3

]

△E

3−2

=13.6×z

2

[

4

1

9

1

]=13.6×z

2

[

36

5

]

△E

2−1

=△E

3−2

+74.8

13.6×z

2

[

4

3

]=13.6×z

2

[

36

5

]+74.8

13.6×z

2

[

4

3

36

5

]=74.8

z

2

=9

z=+3 (z can't be - ve)

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