Which of the following statements are true ab | vedclass

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(C) The variation of acceleration due to gravity $g$ with distance $r$ from the center of the Earth is given by:$1$. For $r < R$ (inside the Earth): $

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$(a) \& \ (c)$

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(C) The variation of acceleration due to gravity $g$ with distance $r$ from the center of the Earth is given by:$1$. For $r $2$. At $r = 0$ (center of the Earth): $g = 0$. Thus, statement $(c)$ is true.$3$. For $r > R$ (outside the Earth): $g_{out} = \frac{GM}{r^2}$. Thus, $g$ decreases as $r$ increases. Therefore, statement $(a)$ is true.$4$. The effective acceleration due to gravity at the equator is $g' = g - \omega^2 R$. If the Earth stops rotating $(\omega = 0)$, then $g' = g$. Since $g - \omega^2 R Conclusion: Statements $(a)$ and $(c)$ are true.

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