According to the question, 2πr=nλ=pnh=mvnh or mvr=2πnh or mv=2πrnhF=qvB=rmv2 or, qB=rmv=2πr⋅rnh or, r2=2πqBnh or, r=2πqBnh i.e., r∝n1/2
Orbits of a particle moving in a circle are such that the perimeter of the 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 :
Held on 22 Apr 2013 · Verified 6 Jul 2026.
n2
n
n1/2
n1/4
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