Question

An excited hydrogen atom emits a photon of wavelength λ when it jumps to ground state from the excited state say of quantum number n. If R is the Rydberg constant the value of n is given by

(1) \(\sqrt{\frac{λR}{λ(R-1)}}\)

(2) \(\sqrt{\frac{λ}{λ(R-1)}}\)

(3) \(\sqrt{\frac{λ(R-1)}{λR}}\)

(4) \(\sqrt{\frac{λ(R-1)}{R}}\)

Answer 1

(1) \(\sqrt{\frac{λR}{λ(R-1)}}\)

According to Bohr’s theory we have