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A solid spherè of uniform density and radius \( R \) exerts a
gravitational force of attraction \( F_{1} \), on a particle placed at \( P \). The
\( \mathrm{P} \)
distance of \( P \) from the centre of the sphere is \( 2 R \). A spherical
W
cavity of radius \( \frac{R}{2} \) is now made in the sphere. The sphere (with
cavity) exerts a gravitational force \( F_{2} \) on the same particle at \( P \).
The ratio \( \frac{F_{1}}{F_{2}} \) is :
(A) \( \frac{9}{7} \)
(B) \( \frac{7}{9} \)
(C) \( \frac{1}{2} \)
(D) \( \frac{4}{3} \)
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