a) For E = 0, we get: mu = -0.5948861 nm and I = 1/2. For E = 245 keV, we get: mu = -0.766 nm and I = 5/2.
We can calculate the g-factor with the formula: g = (mu.2.m_p)/(e.I). For E = 0, we calculate: g = -2.48417115.10^{-8} and for E = 245 keV, we calculate: g = 6.397443468.
b) We take mu = 1mu_N, so we get from the same formula in (a): g = hbar/I = 1.054571800.10^{-34}/(1/2) = 2.1091436.10^{-34}.
c) From the same formula as in (a), we calculate:
mu = (geI)/(2.m_p) = -91621473.95 nm.