An electron revolving in nth Bohr orbit has magnetic moment μn. If μnαnx, the value of x is:
Question
An electron revolving in nth Bohr orbit has magnetic moment μn. If μnαnx, the value of x is:
Solution
The magnetic moment (μ) of an electron in the nth Bohr orbit is given by the formula:
μ = e/2m * √(n(n-1))
where e is the charge of the electron, m is the mass of the electron, and n is the principal quantum number.
If μn is proportional to nx, then we need to find the value of x.
From the formula, we can see that μ is proportional to the square root of n. Therefore, the value of x is 1/2.
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