A sphere of radius $r$ is kept on a concave mirror of radius of curvature $R$. The arrangement is kept on a horizontal table (the surface of concave mirror is frictionless and sliding not rolling). If the sphere is displaced from its equilibrium position and left, then it executes $S.H.M.$ The period of oscillation will be
  • A$2\pi \sqrt {\left( {\frac{{\left( {R - r} \right)1.4}}{g}} \right)} $
  • B$2\pi \sqrt {\left( {\frac{{R - r}}{g}} \right)} $
  • C$2\pi \sqrt {\left( {\frac{{rR}}{a}} \right)} $
  • D$2\pi \sqrt {\left( {\frac{R}{{gr}}} \right)} $
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