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AS Daily A Level Physics question

2025-09-05 OCR A Foundations of Physics (M2) 3.2.4(a)

Two solid blocks are made of the same material. Block X has mass 600 g and Block Y has mass 300 g. Which statement about their volumes must be true?

  1. A The volume of X is twice the volume of Y. (correct)
  2. B The volume of X is half the volume of Y.
  3. C The volumes of X and Y are the same.
  4. D The volume of X is four times the volume of Y.

Answer

The correct answer is A.

Correct: A — The volume of X is twice the volume of Y. A is correct because for the same material (constant density), mass is directly proportional to volume, so 600:300 = 2:1. B is wrong because it inverts the direct proportion, implying a heavier sample would take less volume at the same density. C is wrong because equal volumes at fixed density would require equal masses, which they do not have. D is wrong because it confuses doubling with squaring; four times the volume would require four times the mass (e.g. 1200 g vs 300 g).