Question: The calculated magnetic moment (B.M.) for the ground state of a f5 ion is:
1. √35/7
2. √35
3. √34/14
4. 35/14
Explanation:
The magnetic moment (B.M.) is a measure of the strength of the magnetic field produced by a particle or system of particles. In the context of atoms and ions, the magnetic moment is influenced by the presence of unpaired electrons.
For the f5 ion, we need to determine the magnetic moment based on the number of unpaired electrons. The term "f5" refers to the electron configuration of the ion, where "f" represents the f-orbital and the number 5 indicates that there are 5 unpaired electrons in the f-orbital.
The formula to calculate the magnetic moment for an ion with 'n' unpaired electrons is:
Magnetic moment (B.M.) = √[n(n+2)]
Plugging in the value of 5 for 'n' into the formula:
Magnetic moment (B.M.) = √[5(5+2)]
= √[35]
≈ 5.92 (approximately)
Therefore, the correct answer is option 2. √35, as it represents the calculated magnetic moment (B.M.) for the ground state of the f5 ion.
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