How many times is the escape velocity $(V_e)$ of the orbital velocity $(V_0)$ for a satellite revolving near the Earth?

  • A
    $\sqrt{2} \text{ times}$
  • B
    $2 \text{ times}$
  • C
    $3 \text{ times}$
  • D
    $4 \text{ times}$

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$A$ solid sphere of uniform density and radius $4$ units is located with its centre at the origin $O$ of coordinates. Two spheres of equal radii $1$ unit with their centres at $A(-2, 0, 0)$ and $B(2, 0, 0)$ respectively are taken out of the solid leaving behind spherical cavities as shown in the figure.

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Which of the following is true?

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