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BITSAT 2024Paper 2
Exam
BITSAT
Year
2024
Paper
Paper 2
Subject
Physics
Chapter
Electrostatics

BITSAT 2024 · Paper 2 · Physics · Electrostatics

If two charges q_1 and q_2 are separated with distance ' d ' and...

If two charges q1q_1 and q2q_2 are separated with distance ' dd ' and placed in a medium of dielectric constant KK. What will be the equivalent distance between charges in air for the same electrostatic force ?

Options

  1. AdKd \sqrt{K}
  2. BKdK \sqrt{d}
  3. C1.5dK1.5 d \sqrt{K}
  4. D2dK2 d \sqrt{K}

Correct answer

A. dKd \sqrt{K}

Step-by-step solution

As. FF(air)=FF(medium) \Rightarrow \frac{1}{4 \pi \epsilon_0} \frac{\mathrm{q}_1 \mathrm{q}_2}{\mathrm{ d}_{\text{air }^2}=\frac{1}{\mathrm{ K}} \frac{1}{4 \pi \epsilon_0} \frac{\mathrm{q}_1 \mathrm{q}_2}{\mathrm{ d}^2} \Rightarrow \mathrm{ d}_{\text{air }}=\mathrm{d} \sqrt{\mathrm{K}}
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