Question

If one were to apply Bohr model to a particle of mass 'm' and charge 'q' moving in a plane under the influence of a mgentic filed 'B', the energy of the cahrged particle in the nᵗʰ level will be :-

A. n(hqB/2πm)
B. n(hqB/4πm)
C. n(hqB/8πm)
D. n(hqB/πm)

Answer 1

The energy of a charged particle in the nᵗʰ level when applying the Bohr model to a particle of mass 'm' and charge 'q' moving in a plane under the influence of a magnetic field 'B' can be calculated using the formula: E = n(hqB)/2πm.

Step-by-step explanation:

The energy of a charged particle in the nᵗʰ level when applying the Bohr model to a particle of mass 'm' and charge 'q' moving in a plane under the influence of a magnetic field 'B' can be calculated using the formula:

E = n(hqB)/2πm

Here, n is the principal quantum number, h is Planck's constant, q is the charge of the particle, B is the magnetic field strength, and m is the mass of the particle.

Therefore, the correct option is A. n(hqB/2πm).