A spherical part of radius $R/2$ is excavated from the asteroid of mass $M$ as shown in the figure. The gravitational acceleration at a point on the surface of the asteroid just above the excavation is

829-157

  • A

    $\frac{{GM}}{{{R^2}}}$

  • B

    $\frac{{GM}}{{2{R^2}}}$

  • C

    $\frac{{GM}}{{8{R^2}}}$

  • D

    $\frac{{7GM}}{{8{R^2}}}$

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