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Calculate the wavelength of a photon that traveled from 5^th orbit to 2^nd orbit.

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in Chemistry – Class 11 by (148k points)
Calculate the wavelength of a photon that traveled from 5^th orbit to 2^nd orbit.

(a) 434 nm

(b) 456 nm

(c) 863 nm

(d) 268 nm

The question was asked in semester exam.

My question comes from Bohr’s Model for Hydrogen Atom topic in division Structure of Atom of Chemistry – Class 11

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Correct answer is (a) 434 nm

The explanation is: The energy of an nth orbit in a hydrogen atom is given by the formula En = -RH/n^2, where is the energy of nth orbit and RH is the Rydberg constant. E5 – E2 = -4.58 x 10^-19J. λ(wavelength) = c(speed of light)h(Planck’s constant)/E = 434nm.

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