Derive an expression for the frequency of radiation emitted when a hydrogen atom deexcites from level n to level (n – 1)
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Derive an expression for the frequency of radiation emitted when a hydrogen atom deexcites from level n to level (n – 1)
WFrom Bohr’s theory, the frequency f of the radiation emitted when an electron de – excites from level n2 to level n1 is given as
f = 2π²mk²z²e4/h3 [1/n12- 1/n22
Given n1 = n − 1 , n2 = n , derivation of it
f = 2π²mk²z²e4/h3 (2n – 1)/(n – 1)2n2
For large n, 2n − 1 = 2n , n − 1 = n and z = 1
Thus, f = 4π²mk²z²e4/n3h3
which is same as orbital frequency of electron in nth orbit.
f = v/2πr = 4π²mk²z²e4/n3h3