Frequency of the series limit of Balmer series of hydrogen atom in terms of Rydberg constant R and velocity of light c is

Question

Frequency of the series limit of Balmer series of hydrogen atom in terms of Rydberg constant R and velocity of light c is (A) (4/Rc) (B) 4 Rc (C) Rc (D) (Rc/4)

Tardigrade Admin · Accepted Answer

Using, (1/λ) = R [ (1/n12) - (1/n22) ] where n1 = 2 and n2 = ∞ ∴ (1/λ) = (R/4) Then, f = (C/λ) = (RC/4)

Q. Frequency of the series limit of Balmer series of hydrogen atom in terms of Rydberg constant $R$ and velocity of light $c$ is

$\frac{4}{R c}$

$4 R c$

$R c$

$\frac{R c}{4}$

Using, $\frac{1}{λ} = R [\frac{1}{n _{1} ^{2}} - \frac{1}{n _{2} ^{2}}]$
where $n_{1} = 2$ and $n_{2} = \infty$
$∴ \frac{1}{λ} = \frac{R}{4}$
Then, $f = \frac{C}{λ} = \frac{RC}{4}$

Q. Frequency of the series limit of Balmer series of hydrogen atom in terms of Rydberg constant R and velocity of light c is

Rc4​

4Rc

Rc

4Rc​