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Transition of Electron

When an electron makes transition from higher energy level having energy E2(n2) to a lower energy level having energy E1(n1), then a photon of frequency ν is emitted
 
102663.png
Fig. 7

Energy of emitted radiation

102367.png
102376.png
 
Frequency of emitted radiation
 
102382.png

Wave number/wavelength

Wave number is the number of waves in unit length
 
102388.png
 
⇒ 102696.png

Number of spectral lines

If an electron jumps from higher energy orbit to lower energy orbit, it emits raidations with various spectral lines.
 
If electron falls from orbit n2 to n1, then the number of spectral lines emitted is given by
 
102394.png
 
If electron falls from nth orbit to ground state (i.e., n2 = n and n­1 = 1) then number of spectral lines emitted
 
102400.png

Recoiling of an atom

Due to the transition of electron, photon is emitted and the atom is recoiled.
 
Recoil momentum of atom = Momentum of photon
102406.png
 
Also, recoil energy of atom 102412.png (where m = mass of recoil atom)




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