1.

A uniform ring of mass m and radius r is placed directly above a uniform sphere of mass M and of equal radius. The centre of the ring is directly above the centre of the sphere at a distance \[r\sqrt{3}\] as shown in the figure. The gravitational field due to the ring at a distance \[\sqrt{3}r\]is.

A. \[\frac{Gm}{8{{r}^{2}}}\]
B. \[\frac{Gm}{4{{r}^{2}}}\]
C. \[\sqrt{3}\frac{Gm}{8{{r}^{2}}}\]
D. \[\frac{Gm}{8{{r}^{2}}\sqrt{3}}\]
Answer» D. \[\frac{Gm}{8{{r}^{2}}\sqrt{3}}\]


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