Two nonconducting plates \( A \) and \( B \) of radii \( 2 R \) and \( 4 R \), respectively, are...

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Two nonconducting plates \( A \) and \( B \) of radii \( 2 R \) and \( 4 R \), respectively, are kept at distances \( x \) and \( 2 x \) from the point charge \( q \). A surface cutout of a nonconducting
shell \( A \) is kept such that its
center coincides with the point charge. Each plate and spherical surface carries surface charge density \( \sigma \).
If \( F_{A}, F_{B} \), and \( F_{C} \) are the forces on plate \( A \), plate \( B \), and spherical surface \( C \) due to charge \( q \), respectively, then
(1) \( F_{A}=F_{B}=F_{C} \)
(2) \( F_{C}F_{B}F_{A} \)
(3) \( F_{C}F_{B}F_{A} \)
(4) \( F_{A}=F_{B}F_{C} \)
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