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AS Daily A Level Physics question

2025-09-04 OCR A Materials (M3) 3.2.4(a)

A 1.0 kg block of uniform wax is cut cleanly into two equal halves at the same temperature, with no material lost. Compared with the original block, what is true for each half?

  1. A Mass halves; density halves.
  2. B Mass halves; density stays the same. (correct)
  3. C Mass stays the same; density halves.
  4. D Mass halves; density doubles.

Answer

The correct answer is B.

Correct: B — Mass halves; density stays the same. Cutting a uniform material into equal halves halves the volume, so the mass is proportional to volume and becomes 0.50 kg, while density (a material property) is unchanged at the same temperature. A — Wrong because density does not depend on the amount of material; halving size does not halve density. B — Correct as it reflects mass ∝ volume while density remains constant for the same material and temperature. C — Wrong because removing half the material does not leave the mass unchanged, and density does not halve. D — Wrong because cutting does not compress the material; the density does not double.