Two bar magnets having same geometry with magnetic moments m and 2 m , are firstly placed in such a way that their similar poles one are on same side. Then, its time period of oscillation is T₁ . Now, the polarity of the one of the magnet is reversed. Then, time period of oscillation is T₂ , then

Step-by-step solution

When similar poles are on same side time period of oscillation T₁ is given by T₁=2 I₁+I₂ (m₁+m₂ ) B_H [given] m₁=2 m, m₂=mT₁=2 I₁+I₂ (3 m) B_H (i) When the polarity of magnet is reversed, time period of oscillation T₂ is given by T₂=2 I₁+I₂ (m₁-m₂ ) B_H T₂=2 I₁+I₂ m B_H (ii) On comparing Eqs. (i) and (ii), we get T₂ T₁ or T₁ T₂