$Assertion$: Space rockets are usually launched in the equatorial line from west to east.
$Reason$: The acceleration due to gravity is minimum at the equator.

  • A
    If both $Assertion$ and $Reason$ are correct but $Reason$ is not a correct explanation of the $Assertion$.
  • B
    If both $Assertion$ and $Reason$ are correct and the $Reason$ is a correct explanation of the $Assertion$.
  • C
    If the $Assertion$ is correct but $Reason$ is incorrect.
  • D
    If both the $Assertion$ and $Reason$ are incorrect.

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$Reason$ : The angular momentum of the Earth-Moon system is not conserved.

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Particles of mass $100 \, g$ each are placed at the vertices of an equilateral triangle of side $20 \, cm$. How much work must be done to increase the separation between them to infinity?

Fill in the blanks:
$(a)$ In the region inside the Earth,the acceleration due to gravity is proportional to the distance from the center of the Earth as ..... .
$(b)$ If the Earth shrinks such that its radius becomes half and its mass remains constant,the weight of an object on the Earth increases by a factor of ......... .
$(c)$ The orbital velocity of a geostationary satellite of the Earth is approximately ............ .

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