Question

according to bohrs theory, the time-averaged magnetic field at the centre (i.E. Nucleus) of a hydrogen atom due to the motion of electrons in the nth orbit is proportional to. (n=principal quantum number)

Answer 1

Hello dear,

● Answer-
B ∝ n^-5

● Explaination-
# Formulae-
r = (εn^2h^2) / (πmZe^2)
v = (Ze^2) / (2εhn)

# Solution-
Magnetic field due to flowing current-
B = μI / 2r
B = μ (ev/2πr) / 2r
B = μev / 4πr^2
B = μe[(Ze^2)/(2εhn)] / 4π[(εn^2h^2)/(πmZe^2)]^2
B = μπeZm^2 / 8ε^3h^5n^5

Therefore,
B ∝ 1/n^5
B ∝ n^-5

Hope this is useful...

Answer 2

Answer:

n to the power -5

Explanation:

using bohr energy formula.