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MYP Physics · 17 · data analysis

Does this source decay over the interval?

Atomic and nuclear physics · Original GioPhysics question with a detailed, mark-by-mark answer guide.

Demand
demanding
Marks
8
Topics
2
Answer
Complete
Question8 marks

A teacher supplies averaged detector rates, so fractional counts/min are possible. A separate background run gives a constant mean 15 counts/min. The source-plus-background (time in min, mean rate in counts/min) pairs are (0, 415), (10, 414), (20, 416), (30, 415). A student claims half-life = 10 min. Subtract background, test the claimed model against every reading, and calculate the model's expected total rate at 40 min. Use agreement within 5% of the predicted net rate as a classroom comparison rule. Explain one limitation of this test. No radioactive source is handled by students.

Task interpretation

What a complete response should do

Identify the useful evidence, process it with units, and make only the conclusion the data supports.

Split the problem into linked stages and state why each relationship applies.

Response type
data analysis
Allocation
8 marks
Demand
demanding
Explore the question data

Recorded total detector rate

Supplied source-plus-background mean rates; the graph does not pre-subtract background.

Vertical axis (y): Mean detector rate (counts/min)

Recorded total detector rateSupplied source-plus-background mean rates; the graph does not pre-subtract background. Horizontal axis: Time (min). Vertical axis: Mean detector rate (counts/min). Exact values are available in the data table below.010420831241607.51522.530xy

Horizontal axis (x): Time (min)

Reading 1Time (min): 0Mean detector rate (counts/min): 415
Read the exact data as a table
Recorded total detector rate — supplied values
Time (min)Mean detector rate (counts/min)
0415
10414
20416
30415

These are the supplied values, not a worked answer. Lines join the supplied values; they are not a fitted model.

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