$A$ particle is released on a vertical smooth semicircular track from point $X$ so that $OX$ makes an angle $\theta$ from the vertical (see figure). The normal reaction of the track on the particle vanishes at point $Y$ where $OY$ makes an angle $\phi$ with the horizontal. Then

  • A
    $\sin \phi = \cos \theta$
  • B
    $\sin \phi = \frac{1}{2} \cos \theta$
  • C
    $\sin \phi = \frac{2}{3} \cos \theta$
  • D
    $\sin \phi = \frac{3}{4} \cos \theta$

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