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A nucleus of lanthanum-140 emits gamma radiation - AQA - GCSE Physics Combined Science - Question 6 - 2019 - Paper 1

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A nucleus of lanthanum-140 emits gamma radiation. What happens to the mass number and the charge of the nucleus when gamma radiation is emitted? Tick (✓) one box. ... show full transcript

Worked Solution & Example Answer:A nucleus of lanthanum-140 emits gamma radiation - AQA - GCSE Physics Combined Science - Question 6 - 2019 - Paper 1

Step 1

What happens to the mass number and the charge of the nucleus when gamma radiation is emitted?

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Answer

The mass number stays the same and the charge stays the same. Gamma radiation does not change the identity of the nucleus, and it is emitted as a form of energy.

Step 2

Why is it difficult to detect gamma radiation?

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Answer

Gamma radiation is only weakly ionizing, which means it can pass through materials without interacting significantly. Most gamma radiation is very penetrating, allowing it to go undetected by standard detection devices.

Step 3

Explain why the count rate was less than the activity of the sample of lanthanum-140.

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Answer

The count rate from a Geiger-Muller tube represents only a portion of the gamma radiation emitted by the source. Some of the radiation spreads out in all directions, while only a fraction enters the GM tube, resulting in a lower count rate compared to the actual activity of the sample.

Step 4

Explain why the teacher stood as far away from the apparatus as possible.

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The teacher stood far away from the apparatus to reduce exposure to gamma radiation, which can pose health risks. Standing further away helps to minimize any potential radiation exposure while still being able to observe the experiment.

Step 5

Explain why the teacher was correct.

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Answer

The count rate did not decrease proportionally as the thickness of lead increased. For instance, from 0.5 cm to 1.0 cm thickness, the count rate dropped from 110 to 60 counts per second, but this does not represent a direct inverse relationship. The decrease in count rate becomes less significant with added thickness, indicating that other factors may influence the radiation absorption.

Step 6

Complete the equation showing the decay of lanthanum (La) 140 into cerium (Ce).

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The completed equation is: 14057Lae+14058Ce140_{57}La \to e^{-} + 140_{58}Ce.

Step 7

Determine the ratio of the number of cerium atoms.

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Answer

From Figure 7, the number of cerium atoms when 100 seconds old is 5.0 x 10^23 and when 350 seconds old is approximately 1.5 x 10^23. The ratio can be calculated as: 5.0×10231.5×1023=51.5=103=3.33 or simplified as 32:1. \frac{5.0 \times 10^{23}}{1.5 \times 10^{23}} = \frac{5}{1.5} = \frac{10}{3} = 3.33 \text{ or simplified as } 32:1.

Step 8

Determine the activity of the sample of cerium when the sample was 20 seconds old.

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Answer

From the graph in Figure 7, the number of atoms of cerium-148 when 20 seconds old is approximately 6.5 x 10^23. Since the half-life is 50 seconds, we can determine activity using the formula:
A=λNA = \lambda N, where NN is the number of atoms. The activity is approximately 1.3 x 10^6 Bq.

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