A thin rectangular magnet suspended freely has a period of oscillation equal to 
. Now it is broken into two equal halves (each having half of the original length) and one piece is made to oscillate freely in the same field. If its period of oscillation is 
, the ratio 
is
Text Solution
Verified by ExpertsB
The time period of a rectangular magnet oscillating in earth's magnetic field is given by 
where 
Moment of inertia of the rectangular magnet 
Magnetic moment
Horizontal component of the earth's magnetic field Case 1: 
where 
Case 2 : Magnet is cut into two identical pieces such that each piece has half the original length. Then 
where 
and 
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