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The ionization energy of a hydrogen like Bohr atoms is 4 Rydbergs. (i) What is the wavelength of the radiation emitted when the electrons jumps from the first excited state to the ground state ? (ii) What is the radius of the first orbit for this atom ?

The ionization energy of a hydrogen like Bohr atoms is 4 Rydbergs. (i) What is the wavelength of the radiation emitted when the electrons jumps from the first excited state to the ground state ? (ii) What is the radius of the first orbit for this atom ?

Grade:9

1 Answers

Anish
105 Points
one month ago
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Class 12
PHYSICS
ATOMIC PHYSICS
 
The ionization energy of a hydrogen like bohr atom is 4 Rydbergs (i) What is the wavelength of the radiation emitted when the electron jumps from the first excited state to the ground state ?(ii) what is the radius of the orbit for this atom ?
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Updated On: 21-5-2020
 
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Solution
The energy of the electron in hydrogen-like atom in nth orbit is
 
 

We have
 
 
rydberg.
The ionization energy
 
 

 
 

 
 

a. The energy required to excite the electron from
 
 
to
 
 
is given by
 
 

 
 

 
 

 
 

If
 
 
is the wavelength of radiation emitted , then
 
 
, i.e.
 
 

 
 

 
 

b. Radius of first Bohr orbit
 
 

 
 

 
 

2.5 xx 10^(-11) m

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