[UPSC IFoS 2015] Electrostatics and Magnetostatics (Q122, 8M)

Calculate the strength of the magnetic field to bring a proton nucleus and a ^{13}\text{C} nucleus to resonate at this frequency. Magnetic moment of \text{proton} = 2\cdot 7927\ \mu_\text{N} and magnetic moment of ^{13}\text{C} = 0\cdot 7022\ \mu_\text{N}. The NMR instrument operates at 30\cdot 256\text{ MHz}.