Read the statements carefully and respond to the tasks that follow
PHYSICS · Multi-part · AP · Physics 2: Algebra-based · Modern Physics · Modern Physics
Problem
Read the statements carefully and respond to the tasks that follow, keeping your reasoning explicit.
(i) Describe qualitatively how the orbital radius, electron speed, and total energy of a hydrogen-like atom depend on the principal quantum number n and atomic number Z.
(ii) Using these dependences, explain why an electron in a He+ ion is more tightly bound than an electron in a hydrogen atom when both electrons share the same principal quantum number.
(iii) For electrons in the second orbit (n=2) of hydrogen and Be3+ (Z=4), predict which electron has the shorter de Broglie wavelength and justify your answer without detailed numerical calculation.