All identical capacitor plates each of area A are arranged such that adjacent plates are at d distance apart. Plates are connected to a source of emf V volts as shown in figure. Match the quantities in List-I with their respective answer in List-II. (dielectric constant in each shaded region is k = 2)

`{:(,List-I,List-II),(P,"Total charge on plates numbered" (3)("multiple of" (epsilon_(0)AV)/(d)),(i) 4//3),(Q,"The heat rejected by the system" ("multiple of" (epsilon_(0)AV^(2))/(d)),(ii) 1),(R,"Equivalent capacitance between AB"("multiple of" (13Aepsilon_(0))/(d)),(iii) 1//3),(S,"Potential difference between the plate 6 and 7"("multiple of" V//2),(iv) 2//3),(,,(v) 5//3):}`

Options

A. P-(iv), Q-(iii), R-(i), S-(v)
B. P-(v), Q-(ii), R-(iv), S-(iii)
C. P-(iv), Q-(v), R-(i), S-(ii)
D. P-(v), Q-(iii), R-(iv), S-(i)

Answer

D

Explanation

Apply Kirchoff's law on the equivalent circuit shown in the diagram.