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Question

Physics Question on Atoms

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

A

4Rc\frac{4}{Rc}

B

4Rc4\,Rc

C

RcRc

D

Rc4\frac{Rc}{4}

Answer

Rc4\frac{Rc}{4}

Explanation

Solution

Using, 1λ=R[1n121n22]\frac{1}{\lambda} = R \left[ \frac{1}{n_1{^2}} - \frac{1}{n_2{^2}} \right] where n1n_1 = 2 and n2=1λ=R4n_2 = \infty \, \therefore \, \frac{1}{\lambda} = \frac{R}{4}
Then, f=Cλ=RC4f = \frac{C}{\lambda} = \frac{RC}{4}