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Draw the energy level diagram of hydroge...

Draw the energy level diagram of hydrogen atom. Calculate the energy value upto fifth excited energy states of hydrogen.

Text Solution

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The total energy of an electron in its orbit for an hydrogen atom `E=(-13.6)/(n^(2))eV`
where 'n' is known as the principal quantum number whose value n = 1 , 2, 3, ………..
`E_(1)=(-13.6)/(1^(2))=eV=-13.6eV`
`E_(2)=(-13.6)/(2^(2))=eV=-3.4eV`
`E_(3)=(-13.6)/(3^(2))=eV=-1.511eV`
`E_(4)=(-13.6)/(4^(2))=eV=-8.5eV`
`E_(5)=(-13.6)/(5^(2))=eV=-0.544eV`
`E_(6)=(-13.6)/(6^(2))=eV=-0.377eV`
And `E_(oo)=0`
The energy level diagram represents different energy states with an increasing energy.
The transition of electrons from higher energy States to lower energy states results in various levels of radiations classified into invisible ultra violet, visible light and invisible infrared spectrum of radiations as illustrated below.

Note :
Excitation potential : The amount of energy in electron volt required to excite an electron in a given state to the next higher state is known as the excitation energy. The numerical value of excitation energy expressed in volts is known as the excitation potential.
Ionisation potential : The amount of energy in electron volt required to remove an electron in its ground state to infinity state is known as the ionisation potential . The numerical value of ionisation energy expressed in volts is known as the ionisation potential.
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