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 atom model and consider all possible transitions of this hypothetical particle that will be emitted level . The longest wavelength photon that will be emitted has longest wavelength `lambda` (given in terms of the Rydberg constant `R` for the hydrogen atom) equal to

Imagine an atom made up of a proton and a hypothetical particle of dou

1.	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 atom model and consider all possible transitions of this hypothetical particle that will be emitted level . The longest wavelength photon that will be emitted has longest wavelength `lambda` (given in terms of the Rydberg constant `R` for the hydrogen atom) equal to
Answer» In hydrogen atom `E_n = -(Rhc)/(N^2)` The longest wavelength `lambda_(max) ( or minimum energy) photon will correspond to the transition of particle form n= 3 to n =2. `:. `(hc)/(lambda_max) = E_3 - E_2 = 2Rhc ((1)/(2^2)) - (1)/(3^2))` This gives, `lambda_(max) = 18 //5R` `:. The correct option is (c ).

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