The minimum energy required to launch a satellite of mass $m$ from the surface of a planet of mass $M$ and radius $R$ into a circular orbit at an altitude of $2R$ is

  • A
    $\frac{5 GMm}{6 R}$
  • B
    $\frac{2 GMm}{3 R}$
  • C
    $\frac{GMm}{2 R}$
  • D
    $\frac{GMm}{3 R}$

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Match the following columns.
$A$. Potential energy of satellite$I$. Positive
$B$. Total energy of satellite$II$. Negative
$C$. Kinetic energy of satellite$III$. Zero
$D$. Gravitational potential energy of satellite at infinity$IV$. Infinity

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