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The ratio of capacitance of two capacitors filled with dielectrics of same dimensions but of different values K and K/4 arranged in two ways as shown in Figure-(1) and Figure-(2) is

 

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a
5 : 2
b
25 : 16
c
5 : 4
d
2 : 5

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detailed solution

Correct option is B

Here C1=ε0k1A2d +  ε0k2A2d=5ε0kA8d Given k1= k,  k2= k/4C2=ε0Ad/2k1 + d/2k2 = 2ε0kA5d  ∴    C1C2=2516


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