Two bar magnets A and B are geometrically similar but the magnetic… | MHT CET 2025 (20 Apr, Shift 2)

Q3MHT CET 2025 · 20 APR · SHIFT 2Medium

Vibration Magnetometer

Two bar magnets A and B are geometrically similar but the magnetic moment of $A$ is twice that of $B.\ T_1$ is the time period of oscillation when their like poles are kept together. When unlike poles are kept together, the time period of oscillation is $T_2$ . The ratio $T_1 : T_2$ will be

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Answer: (c)

Both arrangements have the same moment of inertia $2I$ , so $T \propto \dfrac{1}{\sqrt{M_{net}}}$ .
Let $M_B = M$ , $M_A = 2M$ . Like poles together (sum position): $M_{net} = 2M + M = 3M$ .
Unlike poles together (difference position): $M_{net} = 2M - M = M$ .
$\dfrac{T_1}{T_2} = \sqrt{\dfrac{M}{3M}} = \dfrac{1}{\sqrt{3}}$
So the answer is (c) $1 : \sqrt{3}$ .

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