Questions
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 to the first excited level. The longest wavelength photon that will be emitted has wavelength (given in terms of the Rydberg constant R for the hydrogen atom) equal to
detailed solution
Correct option is C
In hydrogen atom En=−Rhcn2Also En∝m;where m is the mass of the electron. Here the electron has been replaced by a particle whose mass is double of an electron. Therefore, for this hypothetical atom energy in nth orbit will begiven by En=−2Rhcn2The longest wavelength λmax(or minimum energy) photon will correspond to the transition of particle fromn=3 to n=2⇒hcλmax=E3−E2=2Rhc122−132This gives λmax=185RSimilar Questions
How much energy is required to take a hydrogen atom from its ground state to excited state where it subsequently emits radiation of six different wavelength?
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