Question

What is the kinetic energy of the electron in the \( n \)th level, moving in a plane under the influence of a magnetic field \( B \)? \([ m\text{ - mass of electron},\; h\text{ - Planck's constant},\; e\text{ - electronic charge}]\)

• A. \( \frac{heB}{4\pi m n} \)
• B. \( \frac{nheB}{4\pi m} \)
• C. \( \frac{nheB}{2\pi m} \)
• D. \( \frac{heB}{2\pi m n} \)

Hint:

Use \( evB = \frac{mv^2}{r} \) and Bohr quantization together to derive energy in magnetic field problems.

Answer 1

The Correct Option is B