A uniformly charged thin spherical shell of radius R carries uniform surface…

PYQ UPPSC LT Grade (Assistant Teacher) 2025

A uniformly charged thin spherical shell of radius R carries uniform surface charge density of σ per unit area. It is made of two hemispherical shells held together by pressing them with force F. Then force F is proportional to :

Spherical shell shown as a circle with a vertical dotted line between its hemispheres; inward horizontal arrows labelled F press from both sides.
  1. A.

    σ²R²/ε₀

  2. B.

    σ²/(ε₀R²)

  3. C.

    σ²/(ε₀R)

  4. D.

    σ²R/ε₀

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