(NMR, T₁ relaxation)Assume a primary external magnetic field of B₀=1.5T,

1. Calculate the net magnetization (M₀) from 20 million unpaired protons in ¹H nuclei.
2. If all these protons reside in muscle tissue, after a 90^o pulse, calculate the net magnetization of M_z-MUSCLE after a time delay of = 50 ms. (The T₁ relaxation time for protons in muscle is T_{1_MUSCLE}=870ms, under 1.5 T)
3. If all these protons reside in fat tissue, after a 90^o pulse, calculate the net magnetization of M_z-FAT after a time delay of = 50 ms. (The T₁ relaxation time for protons in fat is T_{1_FAT}=260ms, under 1.5 T)
4. Comment on whether this delay of = 50 ms yields good contrast between these tissues in T₁ measurements.