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A student models the random nature of radioactive decay using 100 dice - AQA - GCSE Physics - Question 9 - 2018 - Paper 1

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A student models the random nature of radioactive decay using 100 dice. He rolls the dice and removes any that land with the number 6 facing upwards. He rolls the ... show full transcript

Worked Solution & Example Answer:A student models the random nature of radioactive decay using 100 dice - AQA - GCSE Physics - Question 9 - 2018 - Paper 1

Step 1

Give two reasons why this is a good model for the random nature of radioactive decay.

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Answer

  1. The process is random; the outcome of each roll is independent, similar to radioactive decay events.

  2. The model demonstrates how particles can randomly disappear, mirroring how radioactive isotopes decay over time.

Step 2

Use Figure 11 to determine the half-life for these dice using this model.

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Answer

To determine the half-life, locate the point on Figure 11 where the number of remaining dice is approximately 50. From the table, this occurs after about 3.6 to 3.7 rolls.

Thus, the half-life is approximately 3.6 to 3.7 rolls.

Step 3

Determine the atomic number of thorium (Th) 234.

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Answer

The atomic number of thorium (Th) 234 is 90.

Step 4

When protactinium decays, a new element, X, is formed.

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Answer

The new element, X, formed when protactinium decays is uranium.

Step 5

Determine the type of radiation emitted as protactinium decays into a new element.

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Answer

The type of radiation emitted is beta radiation because a neutron decays into a proton and an electron, increasing the proton number.

Step 6

Explain why the teacher wears polythene gloves.

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Answer

The teacher wears polythene gloves to prevent contamination and the transfer of radioactive material to their hands, reducing the risk of harmful exposure or injury over time.

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