1. Complete the following table for three different elements: Resonant Frequencies w; /2t (MHz) Element y/2m (MHz/T) Bo=1.5T Bo= T 16.062 9F 280.364 -30.212 2. Determine the nuclear magnetic moment for the element *'P, using the nuclear shell model (Pauli Exclusion Principle). 3. Following the approach shown in class, determine the gyromagnetic ratio (y/2m) for the previous element and compare to the value reported on the table. 4. Determine the ration of unpaired nucleons (N, /N_) in the element **Na for a magnetic field B, =3 T at 300 K of temperature? 5. Determine the element at which we need to apply a polarized magnetic field B; of 29.32 uT for 5 ms to obtain a longitudinal magnetization of M, = 0. 6. (Only graduate students) Program in MATLAB the T; and T, relaxation of "H atoms in the White Mater after a 90 RF pulse is applied at an arbitrary t,, using M, (t) the M, (t) components of Bloch equations respectively. (Plot both relaxations independently)