Given below are two statements: one is labelled as Assertion $(A)$ and the other is labelled as Reason $(R)$.
$Assertion$ $(A)$: The angular speed of the moon in its orbit about the earth is more than the angular speed of the earth in its orbit about the sun.
$Reason$ $(R)$: The moon takes less time to move around the earth than the time taken by the earth to move around the sun.
In the light of the above statements,choose the most appropriate answer from the options given below:

  • A
    $(A)$ is correct but $(R)$ is not correct
  • B
    Both $(A)$ and $(R)$ are correct and $(R)$ is the correct explanation of $(A)$
  • C
    Both $(A)$ and $(R)$ are correct but $(R)$ is not the correct explanation of $(A)$
  • D
    $(A)$ is not correct but $(R)$ is correct

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In the following four periods:
$(i)$ Time of revolution of a satellite just above the earth's surface $({T_{st}})$
$(ii)$ Period of oscillation of mass inside the tunnel bored along the diameter of the earth $({T_{ma}})$
$(iii)$ Period of simple pendulum having a length equal to the earth's radius in a uniform field of $9.8 \; N/kg \; ({T_{sp}})$
$(iv)$ Period of an infinite length simple pendulum in the earth's real gravitational field $({T_{is}})$

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As we move towards the centre of the Sun,what happens to its physical properties?

Match the $\text{LIST-I}$ with $\text{LIST-II}$:
$\text{LIST-I}$ $\text{LIST-II}$
$A$. Gravitational constant $I$. $[LT^{-2}]$
$B$. Gravitational potential energy $II$. $[L^2 T^{-2}]$
$C$. Gravitational potential $III$. $[ML^2 T^{-2}]$
$D$. Acceleration due to gravity $IV$. $[M^{-1} L^3 T^{-2}]$

Choose the correct answer from the options given below:

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