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Question

Imagine an atom made up of a proton and a hypothetical particle of double the mass of the electron but having the same charge as the electron. Apply the Bohr atomic model and consider all possible transitions of this hypothetical particle to the first excited level. The largest wavelength photon that will be emitted has wavelength λ (given in terms of the Rydberg constant R for the hydrogen atom) is equal to:

A
95R
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B
365R
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C
185R
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D
4R
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Solution

The correct option is C 185R
Energy is related to mass: Enm

The largest wavelength λmax photon will correspond to the transition of particle from n=3 to first excited state, n=2.

1λmax=2R(122132)

1λmax=5R18λmin=185R

Hence, option C is correct.

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