Hydrogen-like ions provide a simple context to compare how orbital properties vary…
CHEMISTRY · Multi-part · CBSE · Chemistry · Structure of Atom · Structure of Atom
Problem
Hydrogen-like ions provide a simple context to compare how orbital properties vary with quantum number and nuclear charge.
Answer the following questions with reference to the Bohr model and give clear physical reasoning in each case.
(a) Qualitatively explain how the orbital radius r, speed v of the electron and its (total) energy E depend on the principal quantum number n for a fixed nuclear charge Z.
(b) For a fixed value of n, state and justify whether each of the three quantities r, v and E increases, decreases or remains unchanged when the nuclear charge is increased from Z=1 (hydrogen) to Z=2 (singly-ionised helium).