The magnetic moment and moment of inertia of a magnetic needle as shown are, respectively, 1.0 10-2 A m2 and 10-6 2 kg m2. If it completes 10 oscillations in 10 s, the magnitude of the magnetic field is [figure]
- 0.4 T
- 4 T
- 0.4 mT
- 4 mT
Answer
(3) 0.4 mT
Solution
Time period: T = 10 s10 = 1 s
T = 2 ImB B = 4 2 ImT2
B = 4 2 10-6 21.0 10-2 12
= 4 10-4 T = 0.4 mT
Answer: (3)