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Question

Draw a neat labelled energy level diagram and explain the different series of spectral lines for hydrogen atom.

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Solution

The energy level diagram of the hydrogen atom is shown in the figure above depicting different series line.

There are four series namely

1. Lyman Series (U.V.)

2 Blamer Series (visible)

3. Psachen Series (infrared)

4. Brackett Series (infrared)

5. Pfund Series (infrared)

n=principle quantum number whose values ranges from 1

n=1represents the ground energy level

n=is the highest energy level.

1. Lyman Series (U.V.)

In this series the transition occur from n>1 to the first orbit that isn=1. This represents the Lyman Series of the Hydrogen atom.

It is mainly observed in the ultraviolet region of the EM wave.

1λ=R(1121n2)

Wheren=2,3

This is further divided into sublevels as αlymanfor n=2 and so on.

2 Blamer Series (visible)

In this series the transition occur from n>2to the second orbit that isn=2. This represents the Balmer Series of the Hydrogen atom.

It is mainly observed in the Visible region of the EM wave.

1λ=R(1221n2)

Where, n=3,4

This is further divided into sublevels as αBalmerfor n=3and so on.

3. Psachen Series (infrared)

In this series the transition occur from n>3 to the second orbit that isn=3. This represents the Paschen Series of the Hydrogen atom.

It is mainly observed in the Infrared region of the EM wave.

1λ=R(1321n2)

Where n=4,5,6

4. Brackett Series (infrared)

In this series the transition occur from n>4 to the second orbit that isn=4. This represents the Bracket Series of the Hydrogen atom.

It is mainly observed in the Infrared region of the EM wave.

1λ=R(1421n2)

Where n=5,6,

5. Pfund Series (infrared)

In this series the transition occur fromn>5to the second orbit that isn=5. This represents the Bracket Series of the Hydrogen atom.

It is mainly observed in the Infrared region of the EM wave.

1λ=R(1521n2)

Where n=6,7


1004989_1043132_ans_3920eb72dc304097b9b43e9645691400.jpg

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