In Bohr model the hydrogen atom, the lowest orbit corresponds to (A) Infinite energy (B) zero energy (C) The minimum energy (D) The maximum energy

Short Answer

Expert verified
(C) The minimum energy

Step by step solution

01

Determine the energy level of the ground state (n=1)

Using the Bohr model formula with n=1, we will find the energy level of the ground state. \(E_1 = -\dfrac{13.6 eV}{1^2} = -13.6 eV\)
02

Evaluate the given options

Now, we will examine the provided options to see which one corresponds to the energy level of the ground state: (A) Infinite energy: The energy level we calculated is not infinite. Thus, this option is incorrect. (B) Zero energy: The energy level for the ground state is not zero. Therefore, this option is incorrect as well. (C) The minimum energy: The ground state is the lowest energy level that the atom can occupy, and the energy level is negative. As the atom goes to the higher energy levels (higher orbits), the energy increases and approaches zero, but never exceeds zero. Thus, the ground state corresponds to the minimum energy; this option is correct. (D) The maximum energy: Since the energy levels increase with higher orbits, the ground state cannot be the maximum energy level. So, this option is incorrect. Based on our evaluation, the correct answer is: (C) The minimum energy

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