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JEE Main 2024 (1 Feb, Shift 1) · Electric Charge & Coulomb's Law

Electric Charge & Coulomb's Law question from JEE Main 2024 (1 Feb, Shift 1)

Q34JEE Main 2024 · 1 FEB · SHIFT 1Medium

Electric Charge & Coulomb's Law

Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle θ\theta with each other. When suspended in water the angle remains the same. If density of the material of the sphere is 1.5 g/cc1.5\text{ g/cc}, the dielectric constant of water will be __________. (Take density of water =1 g/cc= 1\text{ g/cc})

Numerical answer type. Work it out, then open the answer.

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Answer: 3

  1. Same angle in air and liquid needs K=ρρ−σK = \dfrac{\rho}{\rho - \sigma} (electric force ÷K\div K, weight reduced by buoyancy).
  2. K=1.51.5−1=3K = \dfrac{1.5}{1.5 - 1} = 3
  3. Dielectric constant of water =3= 3.
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