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Question: Answered & Verified by Expert
A small circular loop of conducting wire has radius a and carries current I. It is placed in a uniform magnetic field B perpendicular to its plane such that when rotated slightly about its diameter and released, it starts performing simple harmonic motion of time period T. The mass of the loop is m then:
PhysicsMagnetic Effects of CurrentJEE MainJEE Main 2020 (09 Jan Shift 2)
Options:
  • A T=2miB
  • B T=πm2iB
  • C T=2πmiB
  • D T=πmiB
Solution:
1194 Upvotes Verified Answer
The correct answer is: T=2πmiB
τ=MBsinθ=Iα
πR2iBθ=mR22α
ω=2πiBm=2πT;T=2πmiB

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