Two identical condensers M and N are connected in series with a battery. The space between the plates of ‘M’ is completely filled with dielectric medium of dielectric constant 8 and a copper plate of thickness d/2 is introduced between the plates of N. (d = dis-tance of separation of the plates). Then the potentials of M and N are respectively.

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1 : 4

4 : 1

3 : 8

1 : 6

answer is A.

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Detailed Solution

$C_{M} = {KC}_{0} = 8 C_{0}; C_{N} = \frac{{Aε}_{0}}{d - t} = \frac{{Aε}_{0}}{d - d / 2} = 2 C_{0}$
M, N are in series ⇒ Q is same
$\frac{V_{M}}{V_{N}} = \frac{C_{N}}{C_{M}} = \frac{2 C_{0}}{8 C_{0}} = \frac{1}{4}$

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