The plank in the figure moves a distance $100\,mm$ to the right while the centre of mass of the sphere of radius $150\, mm$ moves a distance $75\,mm$ to the left. The angular displacement of the sphere (in radian) is  (there is no slipping anywhere) :-

817-295

  • A

    $\frac{1}{6}$

  • B

    $\frac{7}{6}$

  • C

    $1$

  • D

    $\frac{1}{2}$

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