$A$ geostationary satellite is orbiting the earth at a height of $6R$ above the surface of the earth ($R$ is the radius of the earth). The time period of another satellite at a height of $2.5R$ from the surface of the earth is:

  • A
    $3\sqrt{2} \text{ hours}$
  • B
    $6\sqrt{2} \text{ hours}$
  • C
    $6 \text{ hours}$
  • D
    $72 \text{ hours}$

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In planetary motion,the areal velocity of the position vector of a planet depends on the angular velocity $(\omega)$ and the distance of the planet from the sun $(r)$. If so,the correct relation for areal velocity is:

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Assertion $(A):$ The radius vector from the Sun to a planet sweeps out equal areas in equal intervals of time and thus the areal velocity of the planet is constant.
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In the light of the above statements,choose the most appropriate answer from the options given below:

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