An imaginary particle has charge magnitude e and mass 100mₑ and moves in a circular orbit around a nucleus of charge +4e. Assume an infinitely heavy nucleus and validity of Bohr's model. Select the correct result(s).
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Question

An imaginary particle has charge magnitude e and mass 100mₑ and moves in a circular orbit around a nucleus of charge +4e. Assume an infinitely heavy nucleus and validity of Bohr's model. Select the correct result(s).

Select all that apply

G1 Physics · Accepted Answer

Step 1: For a hydrogen-like Bohr orbit, rₙ=ε₀h²n²/(πmZ e²). Step 2: With particle mass 100mₑ and Z=4, rₙ=n²h²ε₀/(400πmₑe²). Step 3: The 4→2 transition energy scales as mZ² and gives wavelength 3.0 Å. Correct statements: A and B.