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Q.

A dielectric slab fills the lower half of a parallel plate capacitor as shown in figure. (Take plate area as A)
 

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a

Equivalent capacity of the system is ε0A/2d(1+K).

b

The net charge of the lower half of the left hand plate is 1/K times the charge on the upper half of the plate.

c

Net charges on the lower and upper halves of the left hand plate are different.

d

Net charge on the lower half of the left hand plate is 0A2d×V.

answer is A.

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Detailed Solution

This system can be considered as two capacitors in parallel, with C1=ε0A2d and C2=0A2d.
C1 is due to upper half of two plates, while C2 is due to lower half.
As potential difference across two capacitors is the same, charges would be different as capacitors are different.

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