$Assertion$ : In a free fall,weight of a body becomes effectively zero.
$Reason$ : Acceleration due to gravity acting on a body having free fall is zero.

  • A
    If both $Assertion$ and $Reason$ are correct and the $Reason$ is a correct explanation of the $Assertion$.
  • B
    If both $Assertion$ and $Reason$ are correct but $Reason$ is not 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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$Assertion$ : In a free fall,the weight of a body becomes effectively zero.
$Reason$ : The acceleration due to gravity acting on a body in free fall is zero.

The acceleration due to gravity on the moon is $\frac{1}{6}$ times the acceleration due to gravity on the earth. If the ratio of the density of the earth $\rho_e$ to the density of the moon $\rho_m$ is $\frac{5}{3}$,then the radius of the moon $R_m$ in terms of the radius of the earth $R_e$ is:

At what height above the earth's surface is the value of $g$ the same as in a $200 \ km$ deep mine?

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