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Question bank: Modern Physics: Bohr Model

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Question 1:

Very Hard

Bohr's model theory was developed to explain the quantization of energy levels observed in the hydrogen atom spectrum. Consider a hydrogen-like atom consisting of a proton as the nucleus and an electron orbiting it in a circular path. (a) Use the Coulomb force between the electron and the proton as well as the centripetal force on the electron to deduce the expression for the orbital radius (r) in terms of the principal quantum number (n) and the Planck constant (h). (b) Deduce the expression for the total energy (E) of the electron in terms of the principal quantum number (n), the electron charge (e), the electron mass (m), and the Planck constant (h). (c) For an electron transitioning from energy level n1 = 2 to n2 = 1, calculate the energy of the photon emitted during this transition.
Modern Physics: Bohr Model
Question 2:

Medium

What was the main limitation of the Bohr model?
Modern Physics: Bohr Model
Question 3:

Easy

Modern Physics: Bohr Model
Question 4:

Easy

Bohr's Atom was an important contribution to modern Physics, as it explained the properties of chemical elements and suggested that electrons have a wave-like behavior based on quantum mechanics. Based on this model, what is the relationship between the energy levels of atoms?
Modern Physics: Bohr Model
Question 5:

Easy

Modern Physics: Bohr Model
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