According to the Bohr model of the hydrogen atom, what is the relationship between the radius of an electron orbit and the principal quantum number ?
Answer and explanation
Correct answer: B.
- Step 1: In Bohr's quantization condition, orbital angular momentum is .
- Step 2: Balancing centripetal force with electrostatic attraction reveals that the orbital radius scales quadratically with : , where is the Bohr radius.
Answer
.
Why not the others: '' assumes linear radius growth; '' implies orbital compression; '' is the scaling of orbital energy, not radius.
Practise more Electromagnetism, Quantum Physics, Organic Mechanisms and Kinetics.
Free questions with an explanation for every one, and full timed Saudi Secondary School Certificate mock tests.
More Electromagnetism, Quantum Physics, Organic Mechanisms and Kinetics questions
- According to Lenz's law, what is the direction of an induced electric current in a closed conducting loop?
- What is the de Broglie wavelength of an electron of mass moving with non-relativistic velocity ?
- A flywheel has a moment of inertia of . What torque is required to produce an angular acceleration of…
- What type of radioactive decay results in an atomic nucleus increasing its atomic number by 1 while keeping its mass number unchange…
- What is the product formed by the acid-catalyzed hydration of propene ()?
- What is the rate law for an elementary bimolecular reaction ?