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COMEDK20269 May 2026Evening ShiftPhysicsElectrostaticsActual

A charge of 5 C is placed at the centre of a spherical shell S₁ of radius 10 cm. Now this system is enclosed inside another spherical shell S₂ of radius 20 cm. The ratio of the electrical flux through the surface S₂ to S₁ is :

Options

  1. A1:2
  2. B1:1
  3. C4:1
  4. D2:1

Correct answer

B. 1:1

Step-by-step solution

According to Gauss's law, the total electric flux through a closed surface depends only on the net charge enclosed by the surface, given by = q_ enclosed ₀ . For the spherical shell S₁ , the enclosed charge is q = 5 C . ₁ = q ₀ For the spherical shell S₂ , which encloses S₁ and the charge, the total enclosed charge is also q = 5 C . ₂ = q ₀ The ratio of the electrical flux through S₂ to S₁ is: ₂ ₁ = q / ₀ q / ₀ = 1 The ratio is 1:1 . Answer: 1:1

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