Question icon
Grade 12Modern Physics

A particle is moving in a circular orbit of radius r under the influence of an attractive central force. Assume the Bohr quantization condition to hold. It is found that the frequency of revolution of the particle is independent of quantum number n. So, the force is proportional to
(a) 1/r2
(b) 1/r
(C) r2
(d) r

Profile image of Swayam
7 Years agoGrade 12
Answers icon

1 Answer

Profile image of Pooja
7 Years ago
Since angular momentum is quantized, the centripetal force for an electron is balanced by the electric force of attraction between the nucleus and electron.
 
So mv2/r = kZe2/r2
 
Hence F is proportional to 1/r2