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Two identical capacitors 1 and 2 are con...

Two identical capacitors `1` and `2` are connected in series to a batery as shown in figure. Capacitor `2` contains a dielectric slab of dieletric constant `k` as shown. `Q_(1)` and `Q_(2)` are the charges stored in the capacitors. Now the dielectirc slab us removed and the corresponding charges are `Q'_(1)` and `Q'_(2)`. Then

A

`(Q'_(1))/(Q_(1))(k +1)/(k)`

B

`(Q'_(2))/(Q_(2))=(k+1)/(2)`

C

`(Q'_(2))/(Q_(2)) =(k+1)/(2k)`

D

`(Q'_(1))/(Q_(1)) =(k)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C

`Q_(1)=Q_(2) = (KCM)/(K+1)`
when dielectric slab is removed
`Q'_(1) = Q'_(2) = (CE)/(2) rArr (Q'_(2))/(Q_(2)) = (K+1)/(2K)`
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