Imagine an atom made up of a proton and a \( \mathrm{P} \) hypothet...

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Imagine an atom made up of a proton and a
\( \mathrm{P} \) hypothetical particle having double the mass of the

W electron but same charge as the electron. Apply the Bohr's atom model and consider all possible transitions of the hypothetical particle to the first excited level. The longest wavelength photon that will be emitted has wavelength \( \lambda \) (given in terms of the Rydberg constant \( R \) for the hydrogen atom) equal to
(1) \( \frac{9}{5 R} \)
(2) \( \frac{36}{5 R} \)
(3) \( \frac{18}{5 R} \)
(4) \( \frac{4}{R} \)
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