Question

The ground state energy of hydrogen atom is -13.6 eV. What is the ratio of kinetic energy and potential energy of the electron of this state?

• A. $-1/2$
• B. $1/2$
• C. $-1$
• D. $-2$

Hint:

The Potential Energy is always \textbf{negative} and has the \textbf{largest} magnitude. The Kinetic Energy is always \textbf{positive}.

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
In the Bohr model of the atom, there is a fixed numerical relationship between Kinetic Energy ($K$), Potential Energy ($U$), and Total Energy ($E$).
Step 2: Detailed Explanation:
The relationships are: 1. $E = -K$ 2. $U = -2K$ 3. $E = \frac{U}{2}$ To find the ratio $\frac{K}{U}$: $$\frac{K}{U} = \frac{K}{-2K} = -\frac{1}{2}$$
Step 3: Final Answer:
The ratio is $-1/2$.