Question 1
2 marksIn an electron micrograph, a ribosome with an actual diameter of 25 nm appears 3.0 mm in diameter.
Calculate the magnification of the micrograph. Give your answer in standard form.
Model answer
Image size = 3.0 mm = 3.0 × 10⁶ nm
Magnification = image size ÷ actual size = 3.0 × 10⁶ ÷ 25 = 120 000 = 1.2 × 10⁵
Explanation
Both sizes must be in the same unit: 1 mm = 1000 μm = 1 000 000 nm, so 3.0 mm = 3.0 × 10⁶ nm. Magnification = image size ÷ actual size = 1.2 × 10⁵. In standard form the number before the power of ten is between 1 and 10. Electron micrographs of ribosomes need magnifications of around 100 000 because ribosomes are so small.
Mark scheme
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1 mark
Correct method: 3.0 × 10⁶ ÷ 25 (image converted to nm) OR 3.0 ÷ (25 × 10⁻⁶) (actual size converted to mm); or a correct final answer of 1.2 × 10⁵ with no working
A correct answer of 1.2 × 10⁵ (accept × 1.2 × 10⁵) with no working scores 2 marks. Accept for 1 mark: 120 000 (correct but not in standard form) OR evidence of 3 000 000 nm or 3.0 × 10⁶ nm OR 2.5 × 10⁻⁵ mm. Do not credit 0.12 or 8.3 × 10⁻⁶.
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1 mark
1.2 × 10⁵
Accept 1.2 × 10⁵ only (standard form). Ignore the unit 'times'.