Magnetic Properties of Matter

JEE Main level, single correct, medium

35 of 57

Question 35 of 57

A magnetic needle of magnetic moment 6.7×10−2Am26.7\times {10}^{-2}A{m}^{2} and moment of inertia 7.5×10−6kgm27.5\times {10}^{-6}kg{m}^{2} is performing simple harmonic oscillations in a magnetic field of 0.01T0.01T. Time taken for 1010 complete oscillations is:

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Answer: (B) 6.65s6.65s

Time period of oscillating magnetic needle is T=2πIMBT=2\pi \sqrt{\dfrac{I}{MB}}

=2π7.5×10−66.7×10−2×0.01sec⁡=2\pi \sqrt{\dfrac{7.5\times {10}^{-6}}{6.7\times {10}^{-2}\times 0.01}}\sec

=0.6647sec⁡=0.6647\sec

Time for oscillations,
t=10T=6.647sec⁡⁡=6.65sec⁡t=10T=6.647\sec ⁡=6.65\sec

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