Physics Atomic and Nuclear Physics JEE (Main) / AIEEE Problems (Previous Years - Atomic) MCQ (Single Correct)

An electron from various excited states of hydrogen atom emit radiation to come to the ground state. Let be the de-Broglie wavelength of the electron in the nth state and the ground state respectively. Let be the wavelength of the emitted photon in the transition from the nth state to the ground state. For large , (A, B are constants)

A
B

C
D

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The correct answer is:
A

If wavelength of emitted photon in de-excitation is ;
Then,

As energies are negative, we get

where, and are constants.

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