Which of the following statements are true ab | vedclass

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(B) 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 = \fra

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$(a)$ and $(c)$

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(B) 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),$g = \frac{GM}{r^2}$,so $g$ decreases as $r$ increases. Thus,statement $(a)$ is true.$3$. At the centre of the Earth $(r = 0)$,$g = 0$. Thus,statement $(c)$ is true.$4$. The effective acceleration due to gravity at a latitude $\lambda$ is given by $g' = g - \omega^2 R \cos^2 \lambda$. If the Earth stops rotating $(\omega = 0)$,$g'$ increases (except at the poles). Thus,statement $(d)$ is false.Therefore,statements $(a)$ and $(c)$ are true.

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