Chemistry, asked by Irfan1729, 7 months ago

please explain Bohr Magneton..... yrr plzz copy nhi krna equation ke sath explain kro Brainlist and thanks dedunga....​

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Answered by Anonymous
15

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Mate , Bohr Magneton is defined as the magnetic dipole moment associated with an atom due to orbital motion of an electron in the first orbit of hydrogen atom. This is the smallest value of magnetic moment.

Now, next thing....is what is the value for it

Value of Bohr magneton is equal to 9.274 × 10–24J/T.

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Answered by Anonymous
7

Here's your answer!

Magnetic Dipole Moment of an electron (e.g. Hydrogen :-

Bohr's \: atomic \: model \: :-

• Let's take an example of hydrogen. The electron is revolving in a path with uniform circular motion. Then it will carry current of I = e/T.

• When a particle is moving in a circle, the T = 2πr/v.

• And now we know that the value of current, I = ev/2πr.

• Now, as magnetic dipole is stated so, it will be denoted by μ.

Magnetic Dipole moment is defined as the change exerted by an electron of mass, m(e)

Therefore, μ = e/2m.

• Now as we know when a particle moves in a orbit, it will exert momentum, the reason it'll contribute in magnetic dipole too.

μ = -e/2m × L

• Now, μ / L = -e/2m

According to NCERT, this is known as gyromagnetic ratio.

Now, momentum according to Bohr's Model of Atom's Equation :-

L = nh/2π

As we substitute all the values,

μ = h / 4πm

Bohr Mangeton :-

When an eletron performs a spin (as in hydrogen) as stated above, it will exert magnetic momemt this will be defined as Bohr Magneton.

Value of BM, μ(minimum) = 9.27×10^-24 Am²

Hope it helps!

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