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A hydrogen atom is in an excited state of principle quantum number n. It emits a photon of wavelength λ when it returns to the ground state. The value of n is

a
λR(λR−1)
b
λ(R−1)λR
c
λRλR−1
d
λ(R−1)

detailed solution

Correct option is C

hcλ=Rhc1−1/n2 or n=λRλR−1

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Figure shows the energy levels P, Q, R, S and G of an atom where G is the ground state. A red line in the emission spectrum of the atom can be obtained by an energy level change from Q to S. A blue line can be obtained by following energy level change


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