For wavelength of visible radiation of hydrogen spectrum Balmer gave an equation as λ = ( m 2 − 4 ) ( km 2 ) , where m is the integer value. The value of k in terms of Rydberg's constant R is

Wavelength of visible radiation in Balmer series is given by, λ 1 = R ( 4 1 − m 2 1 ) for m ≥ 2 ⇒ λ = R 4 ⋅ m 2 − 4 m 2 = m 2 − 4 k m 2 ∴ k = R 4

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PhysicsModern PhysicsAtomic structureEasy2 minPYQ_2022

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For wavelength of visible radiation of hydrogen spectrum Balmer gave an equation as $λ = \frac{( km ^{2} )}{( m ^{2} - 4 )}$ , where $m$ is the integer value. The value of $k$ in terms of Rydberg's constant $R$ is

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Wavelength of visible radiation in Balmer series is given by, $\frac{1}{λ} = R (\frac{1}{4} - \frac{1}{m ^{2}}) for m \geq 2 \Rightarrow λ = \frac{4}{R} \cdot \frac{m ^{2}}{m ^{2} - 4} = \frac{k m ^{2}}{m ^{2} - 4}$ $∴ k = \frac{4}{R}$

Stream:MHT_CETSubject:PhysicsTopic:Modern PhysicsSubtopic:Atomic structure

⏱ 2mℹ️ Source: PYQ_2022

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