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Assertion (A): A trace of coarse material can dominate a volume-based size distribution while barely appearing in a number-based one.
Reason (R): Volume scales with the cube of diameter, so one large particle equals very many small ones.

  • A.Both A and R are true, and R is the correct explanation of A
  • B.Both A and R are true, but R is not the correct explanation of A
  • C.A is true but R is false
  • D.A is false but R is true

Answer: A

Both are true and the reason gives the arithmetic: a single ten-micrometre particle balances a thousand of one micrometre, so a handful of coarse grains shifts the volume median considerably while the count barely moves.

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