As F=rm2=4πϵ0e2(r21+r3B) and mvr=2πnh⇒v=2πmrnh ∴m(2πmrnh)2×r1=4πϵ0e2(r21+r3B) or, r21+r3B=4π2 m2e2r3mn2 h24πϵ0 or, r3a0n2=r21+r3B(∵a0= mπe2ϵ0 h2 Given )∴r=a0n2−B
In the Bohr's model of hydrogen-like atom the force between the nucleus and the electron is modified as F=4πε0e2(r21+r3β), where β is a constant. For this atom, the radius of the nth orbit in terms of the Bohr radius (a0=mπe2ε0h2) is :
Held on 23 Apr 2013 · Verified 6 Jul 2026.
rn=a0n−β
rn=a0n2+β
rn=a0n2−β
rn=a0n+β
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