Radioactivity Decay (Edexcel International A Level (IAL) Physics): Exam Questions

Exam code: YPH11

52 mins12 questions
1a
Sme Calculator
3 marks

Cobalt‐60 is a source of gamma radiation. Gamma radiation can be used to sterilise medical equipment.

i) Complete the nuclear equation for the decay of cobalt-60 to nickel.

    Co2760  Ni + β + v¯e00

(2)

ii) Suggest why the majority of the energy released is shared between the β particle and the antineutrino.

(1)

1b
Sme Calculator
3 marks

The activity of a cobalt‐60 source is 4.07 × 1014 Bq initially.

When used for sterilising, the source is replaced when the activity drops below 1.85 × 1014 Bq.

Calculate the time in years until the source should be replaced.   

half-life of cobalt‐60 = 5.27 years    

1 year = 3.16 × 107 s

Time until source should be replaced = .........................years

1c
Sme Calculator
3 marks

When in use the cobalt-60 source is shielded with lead. The graph shows how the transmission of γ-radiation depends upon the thickness x of the lead shielding.

q19c-wph15-05-oct-2021-edexcel-int-as-and-a-level-phy

The count rate from a source must be reduced from 4.0 × 1014 Bq to 1.2 × 1014 Bq.

Deduce whether lead shielding of thickness 1.0 cm would be sufficient to achieve this.

2a
Sme Calculator
5 marks

A pacemaker is a device used to regulate a person’s heart rate.

Some of the first electronic pacemakers used an isotope of plutonium, Pu-238, as the power source.

Pu-238 decays by alpha emission.

Show that the energy released when a nucleus of Pu-238 decays into a nucleus of uranium is about 5.6 MeV.

Mass/u

Plutonium nucleus

237.999089

Uranium nucleus

233.991578

α-particle

4.001506

2b
Sme Calculator
3 marks

Another source that was used in early pacemakers was promethium-147. This emits β-particles. The energy spectrum for the β-particles is shown.

q19c-wph15-05-june-2021-edexcel-int-as-and-a-level-phy

The graphs below show how the range of beta particles depends on the beta particle energy, for different materials.

q19c-1-wph15-05-june-2021-edexcel-int-as-and-a-level-phy

It is suggested that a layer of polyethylene, of thickness 0.5 cm, would be able to absorb all the beta particles emitted from a promethium-147 source.

Comment on this suggestion.

3a
1 mark

Carbon-14, C14, is a radioactive isotope with a half-life of 5730 years. It forms in the atmosphere and is absorbed by living organisms.

State what is meant by the term half-life.

3b
Sme Calculator
5 marks

The age of ancient organic materials can be estimated by comparing the ratio of carbon-14 to the stable isotope carbon-12. This technique is known as radiocarbon dating.

While an organism is living and taking in carbon, this ratio is constant. After death, the ratio changes as carbon is no longer taken in, but the carbon-14 continues to decay.

A sample of charcoal recovered from an archaeological dig is analysed using this technique. The activity of the carbon-14 was determined to be 180 Bq per kg of charcoal. A 50 g sample from a living tree was measured to have an activity of 12.5 Bq.

(i) Calculate the age of the charcoal sample in years.

[4]

(ii) State one assumption made when using radiocarbon dating to determine the age of a sample.

[1]

3c
2 marks

To measure the activity, a Geiger–Müller tube was placed near the sample.

Explain two reasons why the recorded count rate is significantly lower than the true activity of the sample.

1
Sme Calculator
5 marks

Strontium-90 is commonly used in schools to demonstrate the properties of β particles.

The range of energies of β particles emitted from a source of strontium-90 is shown below.

q14-wph15-05-jan-2022-edexcel-int-as-a-level-phy

When β particles travel through air they ionise air molecules, which limits how far they travel. The range of the β particles depends upon their kinetic energy when released from the nucleus.

The graph below shows how the range of a β particle in air depends upon its kinetic energy.

q14-1-wph15-05-jan-2022-edexcel-int-as-a-level-phy

It is estimated that the most energetic β particles from strontium-90 will ionise 250 nitrogen molecules per cm of air that they pass through.

15.6 eV is required to ionise a nitrogen molecule.

Assess whether this estimate is consistent with the range of these β particles in air.

2
Sme Calculator
5 marks

A pacemaker is a device used to regulate a person’s heart rate.

Some of the first electronic pacemakers used an isotope of plutonium, Pu-238, as the power source.

In one pacemaker, the activity of the plutonium source was measured to be 6.75 × 1010 Bq in 2020.

Calculate the power of the source, in W, when it was fitted 40 years ago.    

half-life of Pu-238 = 87.7 years    

energy of α-particle = 5.6 MeV

Power of source = ......................................... W

3a
2 marks

Protactinium, Pa, is one of the products in the decay series of uranium-238, U92238. U92238 decays to thorium, Th, by emitting an alpha particle. Th then decays to Pa and then to a different isotope of uranium, U92234.

Determine the number of α particles and β particles emitted during this process to complete the nuclear equation.

straight U presubscript 92 presuperscript 238 space rightwards arrow with blank on top space space straight U presubscript 92 presuperscript 234 space plus space.... cross times straight alpha presubscript.... end presubscript presuperscript.... end presuperscript space plus space.... cross times straight beta presubscript.... end presubscript presuperscript.... end presuperscript

3b
2 marks

The diagram shows the apparatus used by a teacher to demonstrate the decay of protactinium.

Protactinium is produced in a sealed plastic bottle containing a liquid containing a uranium salt. When the bottle is shaken, the protactinium dissolves in the solvent and floats above the liquid containing uranium and thorium.

A sealed bottle with uranium and protactinium layers beside a GM tube linked to a counter for measuring count rate.

The count rate is measured using a Geiger-Müller (GM) tube connected to a counter at intervals of 1.0 minutes for 6.0 minutes. The time intervals are measured using a stopwatch.

Describe how to determine the corrected count rate for the sample.

3c
Sme Calculator
4 marks

The table shows the corrected count rate C for the sample.

t / min

C / s1

0

128

1.0

71

2.0

39

3.0

22

4.0

11

5.0

8

6.0

3

The graph shows how ln C varies with time.

Graph of ln(C) versus time in minutes, showing data points forming a roughly straight decreasing line from about 5 to 1 over 0–6 minutes

Determine the half-life of the protactinium.

3d
3 marks

A student suggests that the results would have been more accurate if a data logger had been used to record the data.

Assess the student’s suggestion.