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JEE Advanced · 2008 · 13 Apr 2008 · Paper 2 · Electrostatics

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STATEMENT-1
For practical purposes, the earth is used as a reference at zero potential in electrical circuits.
and
STATEMENT-2
The electrical potential of a sphere of radius with charge uniformly distributed on the surface is given by .
  1. (A)STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1✓ Correct
  2. (B)STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1
  3. (C)STATEMENT-1 is True, STATEMENT-2 is False
  4. (D)STATEMENT-1 is False, STATEMENT-2 is True

Answer: (A)

Solution

STATEMENT-1 is true: Earth is conventionally taken as zero potential reference because it is a large conductor that can absorb or supply charge without significant change in potential.

STATEMENT-2 is true: The potential at the surface of a uniformly charged sphere is indeed .

However, STATEMENT-2 does not explain STATEMENT-1. The reason earth is used as reference is its large size and ability to maintain constant potential, not the formula for a charged sphere's potential.

JEE Advanced · 2008 · 13 Apr 2008 · Paper 2 · Single correct option

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