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In Bohr's hydrogen atom model, how are the kinetic energy, potential energy, and total energy mathematically related?

1. Kinetic Energy = |Total Energy| / 2
2. Kinetic Energy = 3.4 eV
3. Potential Energy = -2 × Kinetic Energy
4. Potential Energy = -6.8 eV

Correct answer: Potential Energy = -2 × Kinetic Energy

Solution

In Bohr's model, the potential energy (P.E.) is twice the magnitude of the kinetic energy (K.E.) but negative, i.e., P.E. = -2 × K.E. This is derived from the virial theorem for circular orbits.

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