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IGCSE Physics5.2.4 Half-lifeQuestion Bank

Question 35

[Maximum number: 1]

A sample of a radioactive isotope has an initial rate of emission of 128 counts per minute and a half-life of 4 days.

How long will it take for the rate of emission to fall to 32 counts per minute?

A

2 days

B

4 days

C

8 days

D

12 days

Question 35

[Maximum number: 1]

The half-life of carbon-14 is 5700 years.
An object containing carbon-14 has a count rate of 100 counts/minute when it is first formed. The graph shows how the count rate decreases over time.

Which point on the graph corresponds to a time 11400 years after the formation of the object?

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Question 36

[Maximum number: 1]

Radioisotope X decays to the stable isotope Y. The graph shows how the mass of Y present in a sample varies with time.

Question image

Which time interval gives the half-life of X ?

A

t2t1t_{2}-t_{1}

B

t3t2t_{3}-t_{2}

C

t2t_{2}

D

12t3\frac{1}{2} t_{3}

Question 36

[Maximum number: 1]

Which row correctly matches three radioactive sources to their uses?

emits alpha-particles
and has a long half-life

emits beta-particles
and has a long half-life

emits gamma radiation
and has a short half-life

monitoring the thickness
of aluminium foil

smoke alarm

tracer to be injected
to detect cancer

monitoring the thickness
of aluminium foil

tracer to be injected
to detect cancer

smoke alarm

smoke alarm

monitoring the thickness
of aluminium foil

tracer to be injected
to detect cancer

smoke alarm

tracer to be injected
to detect cancer

monitoring the thickness
of aluminium foil

Question 36

[Maximum number: 1]

Which type of radioactive source is suitable for use in measuring and controlling the thickness of paper in a paper-manufacturing factory?

type of emission

half-life

alpha

long

alpha

short

beta

long

beta

short

Question 36

[Maximum number: 1]

The reading on a detector placed near a radioactive material is 536 counts per second.
The background count rate is 44 counts per second.
The half-life of the radioactive material is 34 hours.

What is the reading on the detector after 68 hours?

A

44 counts per second

B

123 counts per second

C

134 counts per second

D

167 counts per second

Question 36

[Maximum number: 1]

A radioactive isotope of sodium has a half-life of 15 h .
The table gives data from an experiment to show how the rate of decay of the isotope varies with time.

The background count rate has not been subtracted from these data.

Table

What is the background radiation count rate?

A

12 counts/s

B

15 counts/s

C

20 counts/s

D

30 counts/s

Question 36

[Maximum number: 1]

A radioactive isotope has a half-life of 8 days.
A detector close to a sample of this isotope gives a count rate of 200 counts per minute.
Without the source, the background count is 20 counts per minute.
What is the count rate due to the source after 8 days?

A

80 counts per minute

B

90 counts per minute

C

100 counts per minute

D

110 counts per minute

Question 36

[Maximum number: 1]

The background count rate measured by a radiation counter is 40 counts per minute (cpm).
With the counter close to a radioactive source, the counter reading is 960 cpm .
The half-life of the source is 20 minutes.
What is the counter reading one hour later?

A

115 cpm

B

120 cpm

C

155 cpm

D

160 cpm

Question 36

[Maximum number: 1]

The graph shows how the count rate registered by a counter near to a sample of a radioactive isotope changes over a period of a few days. The background count rate is 5 counts per minute.

Question image

What is the half-life of the isotope?

A

2.0 days

B

2.5 days

C

3.0 days

D

4.0 days

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