The Rydberg formula, for the spectrum of the hydrogen atom where all terms have their usual meaning is

Question

The Rydberg formula, for the spectrum of the hydrogen atom where all terms have their usual meaning is (A) h upsilonif = (me4/8ε02h2) ((1/nf) -(1/ni)) (B) h upsilonif = (me4/8ε02h2) ((1/n2f) -(1/n2i)) (C) h upsilonif =(8ε02h2/me4) ((1/nf) -(1/ni)) (D) h upsilonif =(8ε02h2/me4) ((1/n2f) -(1/n2i))

Tardigrade Admin · Accepted Answer

Correct answer is (b) h upsilonif = (me4/8ε02h2) ((1/n2f) -(1/n2i))

Q. The Rydberg formula, for the spectrum of the hydrogen atom where all terms have their usual meaning is

$h υ_{i f} = \frac{m e ^{4}}{8 ε _{0}^{2} h ^{2}} (\frac{1}{n _{f}} - \frac{1}{n _{i}})$

$h υ_{i f} = \frac{m e ^{4}}{8 ε _{0}^{2} h ^{2}} (\frac{1}{n _{f}^{2}} - \frac{1}{n ^{2} i})$

$h υ_{i f} = \frac{8 ε _{0}^{2} h ^{2}}{m e ^{4}} (\frac{1}{n _{f}} - \frac{1}{n _{i}})$

$h υ_{i f} = \frac{8 ε _{0}^{2} h ^{2}}{m e ^{4}} (\frac{1}{n _{f}^{2}} - \frac{1}{n ^{2} i})$

Correct answer is (b) $h υ_{i f} = \frac{m e ^{4}}{8 ε _{0}^{2} h ^{2}} (\frac{1}{n _{f}^{2}} - \frac{1}{n ^{2} i})$

Q. The Rydberg formula, for the spectrum of the hydrogen atom where all terms have their usual meaning is

hυif​=8ε02​h2me4​(nf​1​−ni​1​)

hυif​=8ε02​h2me4​(nf2​1​−n2i1​)

hυif​=me48ε02​h2​(nf​1​−ni​1​)

hυif​=me48ε02​h2​(nf2​1​−n2i1​)

Correct answer is (b) hυif​=8ε02​h2me4​(nf2​1​−n2i1​)

$h υ_{i f} = \frac{m e ^{4}}{8 ε _{0}^{2} h ^{2}} (\frac{1}{n _{f}} - \frac{1}{n _{i}})$

$h υ_{i f} = \frac{m e ^{4}}{8 ε _{0}^{2} h ^{2}} (\frac{1}{n _{f}^{2}} - \frac{1}{n ^{2} i})$

$h υ_{i f} = \frac{8 ε _{0}^{2} h ^{2}}{m e ^{4}} (\frac{1}{n _{f}} - \frac{1}{n _{i}})$

$h υ_{i f} = \frac{8 ε _{0}^{2} h ^{2}}{m e ^{4}} (\frac{1}{n _{f}^{2}} - \frac{1}{n ^{2} i})$

Correct answer is (b) $h υ_{i f} = \frac{m e ^{4}}{8 ε _{0}^{2} h ^{2}} (\frac{1}{n _{f}^{2}} - \frac{1}{n ^{2} i})$