For two ions in the same principal quantum state

CHEMISTRY · Single correct · CBSE · Chemistry · Structure of Atom · Structure of Atom

Problem

For two ions in the same principal quantum state n=1n=1, the radius of the orbit in He+\text{He}^+ is smaller than that in H\text{H}. Which statement best explains this observation? (a) The larger nuclear mass of He+\text{He}^+ shifts the centre of mass, forcing the electron to move in a tighter orbit. (b) Because He+\text{He}^+ lacks a second electron, there is no electron–electron repulsion, so the remaining electron collapses into a smaller orbit. (c) ZZ for He+\text{He}^+ is twice that of H\text{H}, so the stronger Coulomb attraction pulls the n=1n=1 electron closer to the nucleus. (d) The electron in He+\text{He}^+ carries extra kinetic energy and hence, by the de Broglie condition, occupies a smaller stationary orbit.

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