Question

The ratio of kinetic energy to the total energy of an electron in a Bohr orbit of the hydrogen atom, is

• A. 1:1
• B. 2:-1
• C. 1:-1
• D. 1:-2

Answer 1

The Correct Option is C

For an electron in a Bohr orbit of hydrogen atom, the total energy is related to kinetic energy by:

\[ E = -K \]

This means the magnitude of kinetic energy is equal to the magnitude of total energy but with opposite sign.

So we can write:

\[ K = -E \]

Now, the ratio of kinetic energy to total energy is:

\[ \frac{K}{E} = \frac{-E}{E} = -1 \]

Therefore,

\[ K : E = 1 : -1 \]