Given that,
Number of turns in the circular coil, N=16
Radius of the coil, r=10 cm =0.1m
Current in the coil, I=0.75A
Magnetic field strength, B=5.0×102T
Frequency of oscillations of the coil, v=2.0s−1
Magnetic moment, M=NIA
M=NIπr2=(16)(0.75)π(0.1)2=0.3768JT−1
The frequency is given by,
ν=12π√MBI