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Match the quantity with how it varies with distance from a point charge.

1. Potential   2. Field   3. Energy density

P. Inverse fourth power   Q. Inverse first power   R. Inverse square

  • A.1-P, 2-R, 3-Q
  • B.1-Q, 2-R, 3-P
  • C.1-R, 2-Q, 3-P
  • D.1-Q, 2-P, 3-R

Answer: B

Each differentiation with respect to distance steepens the fall by one power, and the energy density goes as the square of the field. The pattern one, two, four is worth remembering as a set rather than as three separate facts.

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