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A hollow metal sphere of radius is uniformly charged. The electric field due to the sphere at a distance from the centre:

  1. A
    Increases as increases for and for
  2. B
    Zero as increases for , decreases as increases for
  3. C
    Zero as increases for , increases as increases for
  4. D
    Decreases as increases for and for

Solution & Step-by-step Explanation

[Image showing the electric field intensity graph for a uniformly charged hollow spherical shell]Inside the sphere (): There is no enclosed charge (). According to Gauss's Law, the electric field is zero.Outside the sphere (): The field behaves as if the entire charge were concentrated at the center. . As increases, the field decreases (inverse square law).

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A hollow metal sphere of radius is uniformly charged. The electric field due to the sphere at a distance from the centre:
A
Increases as increases for and for
B
Zero as increases for , decreases as increases for
C
Zero as increases for , increases as increases for
D
Decreases as increases for and for

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