Question

4g of hydrogen atom H are taken at very high temperature such that electron of each atom is excited to 4th state. The maximum no. Of line obtained in emission spectrum when all electron return to the ground state is ??

Answer 1

The answer is going to be 10 NA I think

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Answer 2

The number of lines obtained when electron returns to ground state is 10.

Given,

Transition of the electron from 4th excited state to the ground state.

To find,

the number of spectral lines.

Solution:

• Spectral lines are produced by the transition of electrons from higher energy level to lower energy level and vice-versa, in an atom.
• As the electrons excite and de-excite, energy is emitted in the form of light which gives an element its characteristic colour.
• Number of spectral lines when an electron makes a transition from an energy level to another energy level are calculated as:

$=\frac{(n2-n1)(n2-n1+1)} {2}$

where,

n2-higher energy level

n1-lower energy level.

Number of spectral lines when an electron makes a transition from higher energy level n to the ground state of an atom is calculated as:

$=\frac{n(n-1)}{2}$

Here,

4th excited state, n2=5

Ground state, n1=1.

Number of spectral lines when the electron makes transition from 4th excited state to the ground state are:

$=\frac{5(5-1)}{2} \\=\frac{5X4}{2} \\=\frac{20}{2} \\=10.$

Hence, the number of spectral lines are 10.

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