The magnetic moment of the ground state of an atom whose open sub shell is half filled with five electrons is

Question

The magnetic moment of the ground state of an atom whose open sub shell is half filled with five electrons is (A) √35 √μB (B) 35 μB (C) 35 √μB (D) μB √35

Tardigrade Admin · Accepted Answer

The magnetic moment of the ground state of an atom is

μ = n (n + 2) μ_{B}

where

μ_{B}

is gyromagnetic moment. Here, open sub-shell is half-filled with 5 electrons.
i.e.,

n = 5

∴ μ = 5 (5 + 2) \cdot μ_{B}

= μ_{B} 35

Q. The magnetic moment of the ground state of an atom whose open sub shell is half filled with five electrons is

$35 μ_{B}$

$35 μ_{B}$

$35 μ_{B}$

$μ_{B} 35$

The magnetic moment of the ground state of an atom is
$μ = n (n + 2) μ_{B}$
where $μ_{B}$ is gyromagnetic moment. Here, open sub-shell is half-filled with 5 electrons.
i.e., $n = 5$
$∴ μ = 5 (5 + 2) \cdot μ_{B}$
$= μ_{B} 35$

Q. The magnetic moment of the ground state of an atom whose open sub shell is half filled with five electrons is

35​μB​​

35μB​

35μB​​

μB​35​

The magnetic moment of the ground state of an atom is μ=n(n+2)​μB​ where μB​ is gyromagnetic moment. Here, open sub-shell is half-filled with 5 electrons. i.e., n=5 ∴μ=5(5+2)​⋅μB​ =μB​35​

$35 μ_{B}$

$35 μ_{B}$

$35 μ_{B}$

$μ_{B} 35$

The magnetic moment of the ground state of an atom is
$μ = n (n + 2) μ_{B}$
where $μ_{B}$ is gyromagnetic moment. Here, open sub-shell is half-filled with 5 electrons.
i.e., $n = 5$
$∴ μ = 5 (5 + 2) \cdot μ_{B}$
$= μ_{B} 35$