Two identical satellites $A$ and $B$ are orbiting the Earth at heights of $R$ and $2R$ respectively,where $R$ is the radius of the Earth. The ratio of the kinetic energy of $A$ to that of $B$ is:

  • A
    $1/2$
  • B
    $2/3$
  • C
    $2$
  • D
    $3/2$

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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

$A$ launching vehicle carrying an artificial satellite of mass $m$ is set for launch on the surface of the earth of mass $M$ and radius $R$. If the satellite is intended to move in a circular orbit of radius $7R$,the minimum energy required to be spent by the launching vehicle on the satellite is ($G$ is the gravitational constant).

$A$ satellite of mass $m$ is in a circular orbit of radius $2R_E$ around the Earth. The energy required to transfer it to a circular orbit of radius $4R_E$ is (where $M_E$ and $R_E$ are the mass and radius of the Earth,respectively).

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Two identical satellites are at heights $R$ and $7R$ from the Earth's surface. Which of the following statements is incorrect? ($R =$ radius of the Earth)

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In an orbit,if the time of revolution of a satellite is $T$,then the potential energy $(PE)$ is proportional to:

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