If the potential energy of an electron in the Bohr's model is -U₀,then the kinetic energy and the total energy of the electron are,respectively, A)U₀ and 0.5U₀ B)0.5U₀ and -0.5U₀ C)0.5U₀ and 0.5U₀ D)U₀ and -0.5U₀ E)0.5U₀ and U₀

Question

Quizplus · Accepted Answer

In Bohr's model, the total energy of an electron in nth energy level is given by -13.6/n^2 eV. Here, the potential energy of the electron is given as -U₀ which is -13.6/n^2 eV. Solving for n, we get n=2. Therefore, the electron is in the second energy level. The kinetic energy of the electron is given by KE = Total energy - Potential energy = (-13.6/2^2) - (-U₀) = -3.4 + U₀ = 0.5 U₀. The total energy of the electron is -U₀ which is the same as the potential energy. Therefore, the total energy is -0.5 U₀. Thus, option B is the correct choice.

If the Potential Energy of an Electron in the Bohr's