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Question 14 of 16 in ATOMS AND RADIOACTIVITY

ATOMS AND RADIOACTIVITY

3 marks · Normal

A radioactive sample has an initial activity of . After 16 hours, its activity is .

Calculate the half-life of this isotope.

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4 hours (±0.5)

Must show: Shows number of half-lives or uses correct equation and values, Final answer 4 hours

Also accept: Use of decay curve logic

Common mistakes: Calculates only one half-life; Uses wrong equation

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Marking points

M1 · 1 mark · Correctly uses half-life or decay equation or shows steps (splits activity to original/halved progression or uses ).

M2 · 1 mark · Finds the number of half-lives = 4 ().

A1 · 1 mark · Calculates 16 ÷ 4 = 4 hours (accept follow-through if reasonable). (follow-through)

Worked solution

3200 → 1600 (1st), 1600 → 800 (2nd), 800 → 400 (3rd), 400 → 200 (4th): 4 half-lives.

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