First slide

Magnetism

Question

Magnets A and B are geometrically similar but the magnetic moment of A is twice that of B. If $T_{1}$ and $T_{2}$ be the time periods of the oscillation when their like poles and unlike poles are kept together respectively, then $T_{1} {/T}_{2}$ will be

Moderate

Solution

$\begin{array}{l} T = 2 π \sqrt{I / M B_{H}} \\ ∴ \frac{T_{1}}{T_{2}} = \sqrt{\frac{(M_{A} - M_{B})}{(M_{A} + M_{B})}} = \sqrt{\frac{(2 M_{B} - M_{B})}{(2 M_{B} + M_{B})}} = \sqrt{\frac{(M_{B})}{(3 M_{B})}} = \frac{1}{\sqrt{3}} = 0.58 \end{array}$

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