In a uniform magnetic field, the magnetic needle has a magnetic moment 9.85×10−2A/m2 and moment of inertia 5×10−6kgm2 . If it performs 10 complete oscillations in 5 seconds then the magnitude of the magnetic filed is ________________mT ( Take π2=9.85)

T=2πIMB[T2π]2=IMB⇒B=I×4π2M×T2=5×10−6×4×9.859.85×10−2×(0.5)2B=80×10−4=8mT

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In a uniform magnetic field, the magnetic needle has a magnetic moment $9.85 \times 10^{- 2} A / m^{2}$ and moment of inertia $5 \times 10^{- 6} {kgm}^{2}$ . If it performs 10 complete oscillations in 5 seconds then the magnitude of the magnetic filed is ________________mT ( Take $π^{2} = 9.85$ )

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$T = 2 π \sqrt{\frac{I}{M B}}$

${[\frac{T}{2 π}]}^{2} = \frac{I}{M B}$

$\Rightarrow B = \frac{I \times 4 π^{2}}{M \times T^{2}} = \frac{5 \times 10^{- 6} \times 4 \times 9.85}{9.85 \times 10^{- 2} \times (0.5)^{2}}$

$B = 80 \times 10^{- 4} = 8 m T$

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