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Two point charges 8 , C and -2 , C are located at x = 2 cm and x = 4 cm, respectively on the x -axis. The ratio of electric flux due to these charges through two spheres of radii 3 cm and 5 cm with their centers at the origin is _______.

Options

  1. A4 : 1
  2. B3 : 4
  3. C4 : 3
  4. D4 : 5

Correct answer

C. 4 : 3

Step-by-step solution

According to Gauss's law, the electric flux through a closed surface is given by = q_ enclosed ₀ . For the first sphere of radius r₁ = 3 cm centered at the origin, only the charge at x = 2 cm is enclosed. q_ enclosed , 1 = 8 , C ₁ = 8 , C ₀ For the second sphere of radius r₂ = 5 cm centered at the origin, both charges at x = 2 cm and x = 4 cm are enclosed. q_ enclosed , 2 = 8 , C - 2 , C = 6 , C ₂ = 6 , C ₀ The ratio of the electric flux is: ₁ ₂ = 8 6 = 4 3 Answer: 4 : 3

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