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 \( \phi_{1} \) is flux through surface of \( B \) due to electric field of \( A \) and \( \phi_{2} \) is the flux through \( A \) due to electric field of \( B \), then
(1) \( \phi_{1}=\phi_{2} \)
(2) \( \phi_{1}\phi_{2} \)
(3) \( \phi_{1}\phi_{2} \)
(4) It depends on \( x \) and \( R \)
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