Which of the following statements are true ab | vedclass

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(C) The acceleration due to gravity $(g)$ varies with distance $(r)$ from the centre of the earth as follows:$1$. For $r < R$ (inside the earth): $g =

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$(a) \& (c)$

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(C) The acceleration due to gravity $(g)$ varies with distance $(r)$ from the centre of the earth as follows:$1$. For $r $2$. For $r > R$ (outside the earth): $g = \frac{GM}{r^2}$. As $r$ increases,$g$ decreases. Thus,statement $(a)$ is true.$3$. At the centre of the earth $(r=0)$: $g = 0$. Thus,statement $(c)$ is true.$4$. Effect of rotation: The effective acceleration due to gravity at the equator is given by $g' = g - \omega^2 R$. If the earth stops rotating,$\omega = 0$,so $g' = g$. Since $g > g - \omega^2 R$,the value of $g$ at the equator increases,not decreases. Thus,statement $(d)$ is false.Therefore,statements $(a)$ and $(c)$ are true.

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