Q-2-PHYSICS-SET-2-JEE-Advanced-20255-CoaxialCylindersFlux

Two co-axial conducting cylinders of same length l with radii √2𝑅 and 2𝑅 are kept, as shown in Fig. 1. The charge on the inner cylinder is 𝑄 and the outer cylinder is grounded. The annular region between the cylinders is filled with a material of dielectric constant 𝜅 = 5. Consider an imaginary plane of the same length l at a distance 𝑅 from the common axis of the cylinders. This plane is parallel to the axis of the cylinders. The cross-sectional view of this arrangement is shown in Fig. 2. Ignoring edge effects, the flux of the electric field through the plane is (𝜖0 is the permittivity of free space):
(A) 𝑄 (B) 𝑄 (C) 𝑄 (D) 𝑄 30𝜖0 15𝜖0 60𝜖0 120𝜖0

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