Which of the following quantities does not depend upon the orbital radius of the satellite?

  • A
    $T/R$
  • B
    $T^2/R$
  • C
    $T^2/R^2$
  • D
    $T^2/R^3$

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Which of the following orbits is a possible orbit for a planet?

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$(A)$ a constant velocity of revolution.
$(B)$ the least velocity when it is nearest to the sun.
$(C)$ its areal velocity is directly proportional to its velocity.
$(D)$ areal velocity is inversely proportional to its velocity.
$(E)$ a trajectory such that the areal velocity is constant.
Choose the correct answer from the options given below:

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The distances of two planets from the Sun are $10^{11} \ m$ and $10^{10} \ m$ respectively. Find the ratio of their orbital periods.

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