A ring is hung on a nail.


A ring is hung on a nail. It can oscillate, without slipping or sliding (i) in its plane with a time period $T_{1}$ and, (ii) back and forth in a direction perpendicular to its plane, with a period $T_{2}$. the ratio $\frac{\mathrm{T}_{1}}{\mathrm{~T}_{2}}$ will be :


  1. $\frac{2}{\sqrt{3}}$

  2. $\frac{\sqrt{2}}{3}$

  3. $\frac{2}{3}$

  4. $\frac{3}{\sqrt{2}}$

Correct Option: 1


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