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A positive charge q is placed inside a neutral hollow conducting sphere of radius R , as shown in figure. Whole system is placed in uniform external vertical electric field pointing downward (line PCQ is also vertical) then select the correct statement(s) about electric field at point P . Point P is a point of the material inside the conductor.

Options

  1. AElectric field due to outer surface of sphere at point P is zero
  2. BMagnitude of electric field due to inner surface of sphere at point P is q 9 ₀ R^2
  3. CMagnitude of electric field at point P , due to hollow sphere is less than E
  4. DDirection of resultant electric field at point P due to charge q and hollow sphere is vertically upward

Correct answer

D. Direction of resultant electric field at point P due to charge q and hollow sphere is vertically upward

Step-by-step solution

External electric field and induced charge on outer surface of the sphere will produce a net zero field inside it. Net field at P must be vertically upward.

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