$($ii$)$ Givein that the deutron magnetic moment operator $($in units of nuclear magneton$)$ can be expressed as

vec$({}_d)={}_n$vec$({)}_n+{}_p$vec$({}_p)+\frac{1}{2}$vec$(l)$

where vec$(l)$ is the relative angular momentum between neutron and $-$proton, vec$({)}_n$ and vec$({)}_p$ are the Pauli spin operators and ${}_n$ and ${}_p$ are the respective magnetic moments, Find out the D$-$state probability of deutron wave function.

$[$Given : ${}_d=0\mathrm{.}857{}_N*{}_n=-1\mathrm{.}913{}_N$ and ${}_p=2\mathrm{.}793{}_N$;${}_N($nuclear magneton$)]$