$A$ tunnel is dug along a diameter of the Earth. If $M_e$ and $R_e$ are the mass and radius of the Earth respectively,then the force on a particle of mass $m$ placed in the tunnel at a distance $r$ from the center is:

  • A
    $\frac{G M_e m}{R_e^3} r$
  • B
    $\frac{G M_e}{R_e^3} \cdot \frac{m}{r}$
  • C
    $\frac{G M_e m}{r} R_e^3$
  • D
    $\frac{G M_e m}{R_e^2} r$

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