Question

If the potential energy of the electron in the first allowed orbit in hydrogen atom is $E$; its

• A. Ionization potential is $-E/2$
• B. Kinetic energy is $-E/2$
• C. Total energy is $E/2$
• D. None of these

Answer 1

Answer: (A), (B), (C)

The correct options are
A Kinetic energy is $-E/2$
B Ionization potential is $-E/2$
C Total energy is $E/2$

By centripetal force balance on electron:
$\frac{k{e}^2}{r^2}=\frac{m{v}^2}{r}$
$2KE=-U$

Given: Potential Energy $=E$
$KE=-E/2$
Total Energy $=T=KE+U=E/2$
Ionisation Potential:
Energy required to remove electron $=-T$