1. A paramagnetic solid with three levels A paramagnetic solidis composed of N dipoles of magnetic moment μ⃗. The dipoles can beoriented at 0 (in alignment), 90 or 180 degree (opposite alignment)relative to an external magnetic field B⃗. The system is inequilibrium at a temperature of T. (a) Evaluate the single–particlepartition function for a dipole. (b) Calculate the mean migneticdipole moment μ. (c) Derive approximate expressions for μ in theweak–field and strong–field limits.