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Which of the following statements are true about acceleration due to gravity? ( R = Radius of earth )

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g decreases if earth stops rotating on its axis.

g decreases in moving away from the centre if r < R.

g is zero at the centre of earth.

g decreases in moving away from the centre if r > R.

answer is A, C.

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Detailed Solution

$\begin{array}{l} If r > R, g' = g \frac{R^{2}}{(R + h)^{2}} = g \frac{R^{2}}{r^{2}} \\ If r < R, g' = g [\frac{R - d}{R}] \end{array}$

where d is the depth below the surface of earth.

If d = R, g = 0.

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