Free, forced and damped oscillations - class-XI

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A particle is suspended from a light vertical inelastic string of length 'l' from a fixed support. At its equilibrium position, it is projected horizontally with a speed $\sqrt{6gl}$. Find the ratio of tension on string, its horizontal position to that in vertically above the point of support.

  1. $2:1$
  2. $4:1$
  3. $3:1$
  4. $5:1$
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