question_answer

Orbits of a particle moving in a circle are such that the perimeter of orbit equals an integer number of de - Broglie wavelengths of the particle. For a charged particle moving in a plane perpendicular to a magnetic field, the radius of the nth orbital will therefore be proportional to: [JEE ONLINE 22-04-2013]

A) \[{{n}^{2}}\]

B) \[n\]

C) \[{{n}^{1/2}}\]

D) \[{{n}^{1/4}}\]

Correct Answer: C

Solution :

[c] According to the question,

or or

or,

or,

or,

i.e.