The magnetic moment and moment of inertia of a magnetic needle as shown are, respectively, $1.0 \times 1 0^{- 2} A m$ and $\frac{1 0 ^{- 6}}{π ^{2}} kg m^{2}$ . If it completes 10 oscillations in 10 s , the magnitude of the magnetic field is
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Time period of oscillation of magnet inside the magnetic field T = 2 π MB 1 ​ ​ T = n t ​ = 10 10 ​ = 1 s 1 = 2 π π 2 × 1.0 × 1 0 − 2 × B 1 0 − 6 ​ ​ 4 1 ​ = B 1 0 − 4 ​ ⇒ B = 0.4 mT

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