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Easy

Question

A magnet is suspended horizontally in the earth's magnetic field. When it is displaced and then released it oscillates in a horizontal plane with a period T. If a place of wood of the same moment of inertia (about the axis of rotation) as the magnet is attached to the magnet what would the new period of oscillation of the system become

  1. fraction numerator T over denominator 3 end fraction    
  2. fraction numerator T over denominator 2 end fraction    
  3. fraction numerator T over denominator square root of 2 end fraction    
  4. T square root of 2    

The correct answer is: T square root of 2


    Due to wood moment of inertia of the system becomes twice but there is no change in magnetic moment of the system.
    Hence by usingT equals 2 pi square root of fraction numerator I over denominator M B subscript H end subscript end fraction end root rightwards double arrow T proportional to square root of I rightwards double arrow T ´ equals square root of 2 T

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