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7.Gravitation
medium
Which of the following statements are true about acceleration due to gravity?
$(a)\, 'g'$ decreases in moving away from the centre if $r > R$
$(b)\, 'g'$ decreases in moving away from the centre if $r < R$
$(c)\, 'g'$ is zero at the centre of earth
$(d)\, 'g'$ decreases if earth stops rotating on its axis
A
$(a)$ and $(b)$
B
$(a)$ and $(c)$
C
$(a), (b)$ and $(c)$
D
$(a), (b) (c)$ and $(d)$
Solution

Variation of $g$ with distance
variation of $g$ with $\omega : \mathrm{g}^{\prime}=\mathrm{g}-\omega^{2} \mathrm{R} \cos ^{2} \lambda$
If $\omega=0$ then $g$ will not change at poles where $\cos \lambda=0$
Standard 11
Physics