Magnetic Properties of Matter

JEE Main level, numerical answer, medium

16 of 57

Question 16 of 57

In a uniform magnetic field, the magnetic needle has a magnetic moment 9.85×10−2Am−29.85\times {10}^{-2}A{m}^{-2} and moment of inertia 5×10−6kgm2.5\times {10}^{-6}kg{m}^{2}. If it performs 1010 complete oscillations in 55 seconds then the magnitude of the magnetic field is ____mTmT [Take π2{\pi }^{2} as 9.85]\left.9.85\right]

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Answer: 8

T=2πIMBT=2\pi \sqrt{\dfrac{I}{MB}}
B=80×10−4=8mTB=80\times {10}^{-4}=8mT

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