Question

What is the relation between Kinetic energy and potential energy in bohr's atomic model

• A. U = - K
• B. U = - 2K
• C. U = - 3K
• D. U = - \frac{1}{2}K

Answer 1

Answer: (B)

U = -2K

Answer 2

In Bohr's atomic model, for an electron orbiting a nucleus, the potential energy is $U = -\frac{Ze^2}{4\pi\varepsilon_0 r}$ and the kinetic energy is $K = \frac{Ze^2}{8\pi\varepsilon_0 r}$. Comparing these two expressions, it is evident that $U = -2K$.