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JEE Main 202431 JanuaryEvening Shift
Exam
JEE Main
Year
2024
Date
31 January
Shift
Evening Shift
Subject
Physics
Chapter
Electrostatics

JEE Main 2024 · 31 January · Evening Shift · Physics · Electrostatics

Force between two point charges q _ 1 and q _ 2 placed in vacuum at...

Force between two point charges q1{q}_{1} and q2{q}_{2} placed in vacuum at rr cmcm apart is FF. Force between them when placed in a medium having dielectric K=5K = 5 at r5\dfrac{r}{5} cmcm apart will be:

Options

  1. AF25\dfrac{F}{25}
  2. B5F5F
  3. CF5\dfrac{F}{5}
  4. D25F25F

Correct answer

B. 5F5F

Step-by-step solution

Using Coulomb's law, we can write:

In air F=14πε0q1q2r2F = \dfrac{1}{4\pi{ε}_{0}}\dfrac{{q}_{1}{q}_{2}}{{r}^{2}}

In medium F′=14π(Kε0)q1q2(r′)2=14π(5ε0)25q1q2(r)2=5FF ' = \dfrac{1}{4\pi\left(K{ε}_{0}\right)}\dfrac{{q}_{1}{q}_{2}}{{\left(r '\right)}^{2}} = \dfrac{1}{4\pi\left(5{ε}_{0}\right)}\dfrac{25{q}_{1}{q}_{2}}{{\left(r\right)}^{2}} = 5F

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