Two bar magnets having same geometry with magnetic moments M and 2M are placed in such a way that their similar poles are on the same side, then its time period of oscillation is T 1 . Now, if the polarity of one of the magnets is reversed, then time period of oscillation is T 2 , then
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Using the formula for time period for magnetic system,
… (i)
When similar poles placed at same side, then
So, from Eq. (i), 
… (ii)
When the polarity of a magnet is reversed, then
So, from Eq. (i),
… (iii)
Now, dividing Eq. (ii) by Eq. (iii), we get
Hence, 
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