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Q.

Two point charges are kept in air with a separation between them. The force between them is $F_{1}$ . If half of the space between the charges is filled with a dielectric of dielectric constant 4 and the force between them is $F_{2}$ . If $\frac{1}{3} r d$ of the space between the charges is filled with dielectric of dielectric constant 9. Then $\frac{F_{1}}{F_{2}}$ is.

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a

$\frac{27}{64}$

b

$\frac{16}{81}$

c

$\frac{81}{64}$

d

$\frac{100}{81}$

answer is D.

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Detailed Solution

$F = \frac{1}{4 π ε_{0}} \frac{q_{1} q_{2}}{{(r + r^{1} \sqrt{k})}^{2}}$

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Two point charges are kept in air with a separation between them. The force between them is F1. If half of the space between the charges is filled with a dielectric of dielectric constant 4 and the force between them is F2 . If 13rd of the space between the charges is filled with dielectric of dielectric constant 9. Then F1F2 is.