Two hydrogen-like ions each possess a single electron

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

Two hydrogen-like ions each possess a single electron. • Ion X has nuclear charge Z=3Z=3, and its electron is on average 1.0×10−10 m1.0\times10^{-10}\,\text{m} from the nucleus. • Ion Y has nuclear charge Z=2Z=2, and its electron is on average 5.0×10−11 m5.0\times10^{-11}\,\text{m} from the nucleus. Which statement correctly compares the magnitude of the electrostatic attraction acting on the electron in the two ions? (a) The attraction is greater in Ion X because doubling the distance only halves the force, so the higher nuclear charge dominates. (b) The attraction is greater in Ion Y because its electron is closer to the nucleus. (c) The attraction is greater in Ion X because its nucleus has the larger charge. (d) The attractions are equal in the two ions.

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