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

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

The ratio of kinetic energy to the total energy of an electron in a Bohr orbit of the hydrogen atom is a fundamental concept in atomic physics. In this model, the kinetic energy (KE) of the electron is related to its total energy (TE). The correct ratio is:

Correct Answer

The ratio is 1: -2, which corresponds to option C.

Explanation

In the Bohr model, the total energy (TE) of the electron is negative, indicating that the electron is bound to the nucleus. The kinetic energy is positive and is half the magnitude of the total energy. Therefore, the relationship can be expressed as:

• Kinetic Energy (KE) = -1/2 * Total Energy (TE)
• Thus, KE : TE = 1 : -2

This relationship highlights the balance between kinetic and potential energies in the hydrogen atom's structure.