TS EAMCET · Physics · Electrostatics
The electrostatic force between two charges kept in air is F. If \(30 \%\) of the space between the charges is filled with a medium, then the electrostatic force between the charges becomes \(\frac{\mathrm{F}}{2.56}\). The dielectric constant of the medium is
- A 8
- B 3
- C 9
- D 4
Answer & Solution
Correct Answer
(C) 9
Step-by-step Solution
Detailed explanation
\((0.7 + 0.3\sqrt{K})^2 = 2.56\) \(0.7 + 0.3\sqrt{K} = \sqrt{2.56}\) \(0.7 + 0.3\sqrt{K} = 1.6\) \(0.3\sqrt{K} = 0.9\) \(\sqrt{K} = 3\) \(K = 9\)
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