Singly-ionized helium (He ) consists of a nucleus of charge orbited by one electron
CHEMISTRY · Multi-part · CBSE · Chemistry · Structure of Atom · Structure of Atom
Problem
Singly-ionized helium (He+) consists of a nucleus of charge +2e orbited by one electron. The Bohr radius a0=5.29×10−11m corresponds to the radius of the lowest-energy orbit in hydrogen.
(a) Determine the radius of the lowest-energy orbit for the electron in He+. Express your answer in metres.
(b) Calculate the electron’s orbital speed in this orbit. Report the value in metres per second to an appropriate number of significant figures.
(c) Determine the magnitude of the electron’s centripetal acceleration in this orbit and state how many orders of magnitude greater it is than the acceleration due to gravity at Earth’s surface (g≈9.8ms−2).