Syllabus Edition

First teaching 2023

First exams 2025

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Radioactive Decay (HL IB Physics)

Topic Questions

1
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Which of the following is the unit for the decay constant λ?

  • Bq s−1

  • s

  • s−1

  • The decay constant has no units

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2
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Which of the following graphs of the number of undecayed nuclei N over time has the smallest decay constant?

CSFNQLD~_12-2-ib-hl-mcqs-easy-q7-answers

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3
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Which of the following provides evidence for the existence of neutrinos?

  • Some particles were indistinguishable from their antiparticles

  • Nuclear energy levels have a continuous spectrum

  • The energy of emitted beta particles have a continuous spectrum

  • The emission spectrum only contains specific wavelengths

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4
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A radioactive element has a decay constant λ. At time, t = 0 the number of nuclei of this element is N0. These are linked by the equation N subscript t equals N subscript 0 e to the power of negative lambda t end exponent where Nt is the number of nuclei expected at time t

What number of nuclei would you expect to remain after 1 second?

  • 0

  • N subscript 0 left parenthesis 1 minus e to the power of negative lambda end exponent right parenthesis

  • N subscript 0 e to the power of negative lambda end exponent

  • 1

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5
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An isotope of Am presubscript 95 space end presubscript presuperscript 241 space end presuperscript  undergoes alpha-decay. 

Which letter on the N-Z graph below represents the correct proton-neutron product of the decay?

7-1-discrete-energy--radioactivity-sl-mcqs-easy-q6-question-diagram

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6
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Uranium−238 undergoes radioactive decay to become Thorium−234. A second decay occurs and the product is protactinium−234.

The decay sequence can be represented in equation form, where i, j and k are particles.:

 

straight U presubscript 92 presuperscript 238 rightwards arrow Th presubscript 90 presuperscript 234 space plus space i

Th presubscript 90 presuperscript 234 rightwards arrow Pa presubscript 91 presuperscript 234 space plus space j space plus space k

  

What are the correct names of these particles?

 

i

j

k

A

alpha

beta−minus

electron anti−neutrino

B

beta−positive

beta−minus

alpha

C

beta−minus

neutron

photon

D

alpha

beta−positive

neutron

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7
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What are the correct numbers of protons, neutrons and electrons in a neutral atom of U presubscript 92 presuperscript 234?

 

protons

neutrons

electrons

A

92

92

92

B

92

142

92

C

142

92

142

D

234

142

92

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8
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What is the charge on, and mass of, an electron neutrino and during what process is an electron neutrino produced?

 

charge /e

mass / u

production of neutrino

A

+1

zero

during β+ emission

B

−1

+1

during β emission

C

zero

zero

during β+ emission

D

zero

0.0005

during β emission

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9
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A sample of californium−239 has an activity of 4000 Bq. The half−life of californium−239 is 1 minute.

What will the activity be after 4 minutes?

  • 4000 Bq

  • 1000 Bq

  • 500 Bq

  • 250 Bq

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10
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Energy-mass equivalence is given by ΔE = Δmc2

Using the given equation, determine which of the following is a valid unit of mass.

  • M e V

  • fraction numerator M e V over denominator c end fraction

  • fraction numerator M e V over denominator c squared end fraction

  • e V

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11
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The average binding energy per nucleon of Neon−20 open parentheses Ne presubscript 10 presuperscript 20 close parentheses nucleus is 8.0 MeV.

What is the total energy required to separate the nucleons of one nucleus of Ne presubscript 10 presuperscript 20?

  • 0 MeV

  • 8 MeV

  • 160 MeV

  • 800 MeV

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12
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The graph shows the binding energy per nucleon against nucleon number.

7-2-nuclear-reactions-sl-mcqs-easy-q4-question

Which row in the table gives possible elements found on the graph at positions X, Y and Z?

 

X

Y

Z

A. Uranium Calcium Xenon
B. Hydrogen Uranium Iron
C. Calcium Hydrogen Iron
D. Hydrogen Iron Uranium

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13
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Which statement is a definition of binding energy per nucleon?

  • The difference between an atom's mass and the sum of the masses of its nucleons

  • The binding energy of a nucleus divided by the number of nucleons in the nucleus

  • The energy required to break a nucleus into its constituent protons and neutrons

  • The amount of kinetic energy required for fusion to occur

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14
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Following the development of the atomic bomb, scientists discovered that they could create elements heavier than uranium by bombarding nuclei with neutrons. 

Two incomplete examples are given below:

Reaction 1:  U presubscript 92 presuperscript 238 space plus space n presubscript 0 presuperscript 1 space rightwards arrow space U presubscript... end presubscript presuperscript... end presuperscript

Reaction 2:  P presubscript 94 presuperscript 239 u space plus space 2 n presubscript 0 presuperscript 1 space rightwards arrow space A presubscript... end presubscript presuperscript... end presuperscript m space plus space e presubscript negative 1 end presubscript presuperscript 0

What are the missing products of these reactions?

 

Reaction 1

Reaction 2

A.

straight U presubscript 92 presuperscript 239 Am presubscript 95 presuperscript 240

B.

straight U presubscript 92 presuperscript 239 Am presubscript 95 presuperscript 241

C.

straight U presubscript 92 presuperscript 237 Am presubscript 95 presuperscript 237

D.

straight U presubscript 92 presuperscript 237 Am presubscript 95 presuperscript 241

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1
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A radioactive source X consists of 10.4 × 1011 atoms of a nuclide of half-life 5 days. A second source Y consists of 5.2 × 1010 atoms of another nuclide of half-life 6 days.

After how many days will the number of radioactive atoms in X be equal to Y?

  • fraction numerator 30 ln open parentheses 2 close parentheses over denominator ln open parentheses 20 close parentheses end fraction

  • fraction numerator ln open parentheses 20 close parentheses over denominator 30 ln open parentheses 2 close parentheses end fraction

  • fraction numerator 30 ln open parentheses 20 close parentheses over denominator ln open parentheses 2 close parentheses end fraction

  • fraction numerator ln open parentheses 2 close parentheses over denominator 30 ln open parentheses 20 close parentheses end fraction

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2
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Two radioactive elements X and Y have half–lives TX and TY respectively. Initially samples of S, NX contains three times as many atoms of Y, NY .

After a certain time t, which of the expressions for fraction numerator n u m b e r space o f space d e c a y e d space a t o m s space o f space X over denominator n u m b e r space o f space d e c a y e d space a t o m s space o f space Y end fraction is correct?

 

  • fraction numerator 3 open parentheses N subscript Y blank – N subscript Y open parentheses 1 half close parentheses to the power of t over T subscript X end exponent close parentheses over denominator N subscript Y blank – N subscript Y open parentheses 1 half close parentheses to the power of t over T subscript Y end exponent end fraction

  • fraction numerator N subscript X open parentheses 1 half close parentheses to the power of t over T subscript X end exponent minus N subscript X over denominator N subscript Y open parentheses 1 half close parentheses to the power of t over T subscript Y end exponent minus N subscript Y end fraction

  • fraction numerator N subscript X open parentheses 1 half close parentheses to the power of t over T subscript X end exponent over denominator N subscript Y open parentheses 1 half close parentheses to the power of t over T subscript Y end exponent end fraction

  • fraction numerator 3 N subscript Y open parentheses 1 half close parentheses to the power of t over T subscript X end exponent over denominator N subscript Y open parentheses 1 half close parentheses to the power of t over T subscript Y end exponent end fraction

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3
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The initial activity of a radioactive source is 160 counts per second. After a time T, its activity becomes 5 counts per second.

 If the half–life of the source is 18 hours, what is T?

  • fraction numerator ln open parentheses 32 close parentheses over denominator 18 ln open parentheses 2 close parentheses end fraction hours

  • fraction numerator 18 ln open parentheses 32 close parentheses over denominator ln open parentheses 2 close parentheses end fractionhours

  • fraction numerator ln open parentheses 2 close parentheses over denominator 18 ln open parentheses 32 close parentheses end fraction hours

  • fraction numerator 18 ln open parentheses 2 close parentheses over denominator ln open parentheses 32 close parentheses end fraction hours

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4
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A pure sample of a radioactive nuclide has mass m, half-life T1/2 and initial activity A0.

Identify the half-life and initial activity of another sample which is otherwise identical but has mass 3m.

  Half-life  Initial activity
A.  T subscript 1 divided by 2 end subscript A subscript 0
B. 3 T subscript 1 divided by 2 end subscript 1 third space A subscript 0
C.  T subscript 1 divided by 2 end subscript 3 A subscript 0
D. 3 T subscript 1 divided by 2 end subscript 3 A subscript 0

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5
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Two radioactive nuclides, P and Q, have half-lives of 70 s and 175 s respectively. At time t = 0, samples of P and Q contain the same number of nuclei.

What is fraction numerator n u m b e r space o f space n u c l e i space o f space P space d e c a y e d over denominator n u m b e r space o f space n u c l e i space o f space Q space d e c a y e d end fractionwhen t = 350 s?

  • 8

  • 24 over 31

  • 31 over 24

  • 1 over 8

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6
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Two unstable isotopes are initially present in equal numbers. Isotope Y has a half life of 6 minutes and isotope Z has a half life of 3 minutes. Which expression correctly describes the ratio of the activity of Y to Z after 12 minutes?

  • space e to the power of negative fraction numerator l n 2 over denominator 2 end fraction cross times 12 end exponent over e to the power of negative fraction numerator ln 2 over denominator 2 end fraction cross times 12 end exponent

  • space 3 over 6 space cross times space e to the power of negative ln 2 cross times 12 end exponent over e to the power of negative l n 2 cross times 12 end exponent

  • space 1 half space cross times space e to the power of negative 4 ln 2 end exponent over e to the power of negative 3 ln 2 end exponent

  • space 1 half space cross times space e to the power of negative 2 ln 2 end exponent over e to the power of – 4 ln 2 end exponent

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7
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A pure sample of a known element has a very short half-life. What measurement(s), together with the initial activity of the sample, must be made in order to measure the half-life of the element?

  • The number of moles of the sample.

  • The activity and the number of moles of the sample after a given period of time.

  • The number of moles after a given period of time.

  • The activity after a given period of time.

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8
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A particular nucleus, X presubscript Z presuperscript A decays to form Y presubscript z presuperscript a, which then has two possible decay paths, resulting in either an isotope of Thallium (Tl) or Polonium (Po), as shown.

7-1-sl-mcq-hard-q2-phy

Which isotope could not be straight X presubscript straight Z presuperscript straight A?

  • Pb presubscript 82 presuperscript 215

  • Po presubscript 84 presuperscript 214

  • At presubscript 85 presuperscript 218

  • Pb presubscript 82 presuperscript 214

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9
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The decay series for Thorium–232 can be plotted as shown.

7-1-ib-sl-hard-mcqs-q3-question

According to the diagram, how many possible routes are available for Thorium–232 to decay to a stable nucleus of lead−208?

  • 2

  • 4

  • 10

  • 12

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10
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The diagram shows the decay chain for a particular isotope.

7-1-sl-mcq-hard-q4-phy

What are the isotopes labelled 1, 2 and 3?

 

1

2

3

A

 T presubscript 90 presuperscript 230 h  A presubscript 85 presuperscript 218 t  P presubscript 82 presuperscript 210 b

B

 U presubscript 92 presuperscript 234  A presubscript 85 presuperscript 218 t  P presubscript 82 presuperscript 210 b

C

 U presubscript 92 presuperscript 234  P presubscript 84 presuperscript 218 o  T presubscript 81 presuperscript 210 l

D

 T presubscript 90 presuperscript 230 h  P presubscript 84 presuperscript 218 o  P presubscript 82 presuperscript 210 b

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11
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Polythene film is made by extruding polythene and drawing it into a long sheet which is wound onto a roll, as shown in the diagram below.

7-1-sl-mcq-hard-q5-phy

The manufacturer has to carefully choose a radioactive isotope which will effectively remove any electrostatic charge that has built up on the film. The manufacturer also has to consider the point X, Y or Z at which the radioactive isotope should be placed along the assembly line.

At which point should the radioactive isotope be placed, and which type of radiation should the manufacturer choose to remove excess electrostatic charge?

  Point Type of radiation
A X alpha
B X gamma
C Y beta
D Z alpha

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12
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Radioactive isotopes are used in medical imaging.

For example, two isotopes of iodine, 123-I and 131-I are both used by radiographers, who give them to patients in the form of iodide before taking scans.

The possible decay equations for these isotopes are:

  1. I presubscript 53 presuperscript 123 space rightwards arrow space T presubscript 52 presuperscript 123 e + _____

      2. I presubscript 53 presuperscript 131 space rightwards arrow space X presubscript 54 presuperscript 131 e + _____

Which is a correct difference between these two decays?

  • In decay 1, an electron neutrino is emitted, but in decay 2 an anti-electron neutrino is emitted

  • In decay 1, an electron has been absorbed but in decay 2 a neutron has been absorbed

  • In decay 1, an anti-electron neutrino is emitted, but in decay 2 an electron neutrino is emitted

  • In decay 1, a neutron became a proton but in decay 2 a proton became a neutron

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13
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The graph shows the how the neutron-proton ratio of stable nuclei changes as proton number increases.

7-1-sl-mcq-hard-q8-phy

What other changes with increasing proton number are suggested by the graph?

  1. The charge-mass ratio increases
  2. The charge-mass ratio decreases
  3. The likelihood of α-decay increases
  4. The likelihood of β-positive decay increases
  5. Protons outnumber neutrons in large nuclei, with a rapidly increasing ratio
  • 1 and 3

  • 2 and 3

  • 2, 4 and 5

  • 2, 3 and 5

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14
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The charge to mass ratio, Q over m, is also known as the specific charge.

What is the ratio of fraction numerator specific space charge space of space Li presubscript 3 presuperscript 7 space nucleus over denominator specific space charge space of space scriptbase straight O to the power of 2 plus end exponent space ion end scriptbase presubscript 8 presuperscript 16 end fraction?

  • 6 over 7

  • 7 over 6

  • 24 over 7

  • 7 over 24

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15
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The number of undecayed atoms, N, of a radioactive substance after time, t, can be calculated by the equation:

N equals N subscript 0 open parentheses 1 half close parentheses to the power of t over T subscript 1 half end subscript end exponent

Where:

  • T subscript 1 half end subscript= the half-life 
  • N subscript 0= the original number of atoms

Two radioactive elements X and Y have half–lives TX and TY respectively. An initial sample contains three times as many atoms of X, NX than atoms of Y, NY.

After a certain time, t, which of the expressions for fraction numerator n u m b e r space o f space d e c a y e d space a t o m s space o f space X over denominator n u m b e r space o f space d e c a y e d space a t o m s space o f space Y end fraction is correct?

  • fraction numerator 3 open parentheses N subscript Y minus N subscript Y open parentheses begin display style 1 half end style close parentheses to the power of begin display style t over T subscript X end style end exponent close parentheses over denominator N subscript Y minus N subscript Y open parentheses begin display style 1 half end style close parentheses to the power of begin display style t over T subscript Y end style end exponent end fraction

  • fraction numerator N subscript X open parentheses 1 half close parentheses to the power of t over T subscript X end exponent minus N subscript X over denominator N subscript Y open parentheses 1 half close parentheses to the power of t over T subscript Y end exponent minus N subscript Y end fraction

  • fraction numerator N subscript X open parentheses 1 half close parentheses to the power of t over T subscript X end exponent over denominator N subscript Y open parentheses 1 half close parentheses to the power of t over T subscript Y end exponent end fraction

  • fraction numerator 3 N subscript Y open parentheses 1 half close parentheses to the power of t over T subscript Y end exponent over denominator N subscript Y open parentheses 1 half close parentheses to the power of t over T subscript Y end exponent end fraction

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16
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A nucleus X presubscript Z presuperscript A has a mass M. 

Which of the following expressions correctly represents the binding energy per nucleon of this nucleus in terms of the speed of light c, the mass of a proton mp and the mass of a neutron mn

  • open parentheses fraction numerator Z m subscript straight p plus A m subscript straight n minus M over denominator A end fraction close parentheses c squared

  • open parentheses fraction numerator Z m subscript straight p plus open parentheses A minus Z close parentheses m subscript straight n minus M over denominator Z end fraction close parentheses c squared

  • open parentheses fraction numerator Z m subscript straight p plus open parentheses Z minus A close parentheses m subscript straight n minus M over denominator A end fraction close parentheses c squared

  • open parentheses fraction numerator Z m subscript straight p plus open parentheses A minus Z close parentheses m subscript straight n minus M over denominator A end fraction close parentheses c squared

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17
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A nuclear reaction can be written in the form:

W plus X equals Y plus Z

Energy is released during this reaction. 

Which of the following is correct regarding the masses m and the binding energies b of the nuclides?

  Binding energy Mass
A. b subscript W plus b subscript X less than b subscript Y plus b subscript Z m subscript W plus m subscript X less than m subscript Y plus m subscript Z
B. b subscript W plus b subscript X greater than b subscript Y plus b subscript Z m subscript W plus m subscript X less than m subscript Y plus m subscript Z
C. b subscript W plus b subscript X less than b subscript Y plus b subscript Z m subscript W plus m subscript X greater than m subscript Y plus m subscript Z
D. b subscript W plus b subscript X greater than b subscript Y plus b subscript Z m subscript W plus m subscript X greater than m subscript Y plus m subscript Z

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18
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One possible fission reaction for uranium−235 is:

straight U presubscript 92 presuperscript 235 space rightwards arrow Ba presubscript straight X presuperscript 141 space plus Kr presubscript straight Z presuperscript straight Y space plus 3 straight n presubscript 0 presuperscript 1

The proton number of barium is 20 more than the proton number of krypton. The measured mass of this nucleus is M.

Which expression gives the mass defect associated with the krypton nucleus?

  • 56 m subscript p plus 35 m subscript n minus M

  • 36 m subscript p plus 55 m subscript n minus M

  • fraction numerator 36 m subscript p plus 55 m subscript n over denominator M end fraction

  • 56 m subscript p plus 55 m subscript n plus M

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19
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The mass of a nucleus of rutherfordium−254 is 254.1001u.

Which of the following is not equal to the energy of this nucleus?

  • 254.1001 space cross times 931.5 space straight M text eV c end text to the power of negative 2 end exponent

  • 254.1001 space cross times 931.5 cross times open parentheses 1.6 cross times 10 to the power of negative 19 end exponent close parentheses space straight J

  • 254.1001 space cross times open parentheses 1.661 cross times 10 to the power of negative 27 end exponent close parentheses cross times open parentheses 3.00 cross times 10 to the power of 8 close parentheses squared space straight J

  • 254.1001 space cross times 931.5 cross times open parentheses 1.6 cross times 10 to the power of negative 13 end exponent close parentheses space straight J

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20
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A stationary uranium-238 nucleus decays by alpha-emission, as shown in the equation below:

straight U presubscript 92 presuperscript 238 rightwards arrow Th presubscript 90 presuperscript 234 plus straight alpha presubscript 2 presuperscript 4

This decay generates a total energy E

Which of the following statements is correct regarding the kinetic energy of the alpha particle?

  • It is slightly less than 0.5E

  • It is equal to E

  • It is slightly greater than 0.5E

  • It is slightly less than E

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21
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Burning 1000 kg of coal can yield 3 × 1010 J of energy. When a thermal neutron is absorbed by a uranium-235 nucleus it produces fission products as well as three neutrons. 

straight n presubscript 0 presuperscript 1 space plus space straight U presubscript 92 presuperscript 235 space rightwards arrow space Zr presubscript 40 presuperscript 98 space plus space Te presubscript 52 presuperscript 135 space plus space 3 straight n presubscript 0 presuperscript 1 space plus space energy

The following data is available:

  • Mass defect ≈ 0.2 u
  • Mass of straight U presubscript 92 presuperscript 235 ≈ 4 × 10−25 kg
  • Atomic mass unit, u ≈ 2.0 × 10−27 kg

What is an estimate of the mass of coal needed to give the same amount of energy as 1 kg of Uranium-235?

  • 3 × 10kg

  • 2.6 × 106 kg

  • 4.7 × 108 kg

  • 7.7 × 1013 kg

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1
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Two samples P and Q of different radioactive isotopes have the same initial activity. Sample P has a third of the number of atoms as sample Q. The half-life of P is T seconds.

What is the half-life of sample Q?

  • straight T over 3

  • fraction numerator straight T over denominator 3 square root of 2 end fraction

  • 3 straight T

  • 3 square root of 2 straight T

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2
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The half-life of a radioactive isotope is 10 days. What is the approximate percentage of the sample remaining after 25 days?

  • 20

  • 19

  • 16

  • 15

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3
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A pure sample of a radioactive nuclide undergoes a decay resulting in a stable daughter nuclide. What fraction of the sample is made up of the daughter nuclide after five half-lives?

  • 1 over 16

  • 1 over 32

  • 15 over 16

  • 31 over 32

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4
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A series of radioactive decays produce both alpha particles and anti-neutrinos. Which answer option describes the nature of the energy spectrum of these two particles?

  Anti-neutrino Alpha-particle
A. discrete discrete
B. discrete continuous
C. continuous discrete
D. continuous continuous

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5
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The decay of several unstable nuclei are observed in a radiation chamber. The following identifications are made: 

  1. Alpha-particles have discrete kinetic energy levels
  2. Beta-particles have a continuous range of kinetic energies
  3. Gamma-ray photons have discrete kinetic energy levels

These observations directly relate to two important discoveries; the use of emission spectra to identify elements and the existence of the neutrino.

Which row correctly identifies the observations that lead researchers to the discovery of emission spectra and the existence of the neutrino?

  Emission spectra Existence of the neutrino
A. II only II only
B. I and III only II only
C. II only I and III only
D. I and III only I and II

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6
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A radioactive sample of initial activity 10.0 Bq has a half-life of 1 day.

What is the activity of the sample after 2.5 days?

  • 0.8 Bq

  • 1.2 Bq

  • 1.8 Bq

  • 7.6 Bq

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7
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size 16px U presubscript size 16px 92 presuperscript size 16px 238 decays to thorium-234 by emitting an alpha particle and two gamma rays. Thorium-234 then decays into protactinium via beta decay.

Which point on the N-Z graph below represents the position of the granddaughter nucleus, protactinium?

q1

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8
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The half-life of carbon-14 is 6000 years.

An ancient elephant tusk has been uncovered and its age is unknown. A 20 g sample of the tusk has an activity of 1.25 Bq due to carbon-14.

A 80 g sample of tusk taken from a living elephant has an activity of 20 Bq.

Use this information to determine the age of the ancient tusk.

  • 3000 years

  • 12 000 years

  • 18 000 years

  • 24 000 years

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9
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Fluorodeoxyglucose is a compound used as a tracer in medical imaging. The isotope fluorine-18 is used, which is a positron emitter.

The way these positrons interact with electrons in the body allows PET (positron emission tomography) scanners to determine the rate of respiration certain cells are performing.

Fluorine-18 decays into an isotope of oxygen.

Which equation below represents the correct nuclear equation for this decay?

  • F presubscript 9 presuperscript 18 rightwards arrow O presubscript 8 presuperscript 18 plus beta presubscript plus 1 end presubscript presuperscript 0 plus upsilon subscript e

  • F presubscript 9 presuperscript 18 rightwards arrow O presubscript 9 presuperscript 18 plus beta presubscript plus 1 end presubscript presuperscript 0 plus upsilon subscript e

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10
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Protactinium-231 (scriptbase P a end scriptbase presubscript 91 presuperscript 231) is a radioactive element, it decays by alpha radiation and then beta-minus decay as shown below:

 Error converting from MathML to accessible text.

What proton number and mass number will element B have?

 

Proton Number

Mass Number

A.

89

229

B.

90

229

C.

89

227

D.

90

227

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A radioactive source is known to emit beta radiation. A Geiger-Muller tube is used to measure the count rate at increasing distances from the source.

Which graph correctly represents the variation in count rate over these distances for beta radiation?

q16_discrete-energy-_-radioactivity_ib-sl-physics-mcq

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12
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Unstable nuclei make up 10% of a sample’s mass. The count rate of the sample is measured over a time period of 8 hours.

q17_discrete-energy-_-radioactivity_ib-sl-physics-mcq

After some time has passed, the percentage of the sample which is unstable reduces to 2.5%. What is the count rate of the source at this time?

  • 90 cpm

  • 60 cpm

  • 45 cpm

  • 30 cpm

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13
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A source is known to be radioactive but the type of radiation being emitted is unknown.

A Geiger-Müller tube is placed close to the source and different materials are placed between the two. A table of the count rates recorded for each material is shown below. The background count rate is 15 counts per minute.

Material

Count rate recorded / counts per minute

Paper

528

Nothing

1064

Thick lead

17

Aluminium

524

What types of radiation are being emitted by the source?

  • alpha comma space beta and gamma

  • alpha spaceonly

  • beta spaceand gamma

  • alpha and gamma

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14
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Three of the four isotopes below are the same element. Which isotope represents a different element?

 

Nucleon number

Neutron number

A.

233

141

B.

235

143

C.

238

146

D.

239

146

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The image below shows a simplified version of the binding energy per nucleon E of nuclei versus the nucleon number N. Which of the following positions represents nuclei that are the most stable?

q11_nuclear-reactions_ib-sl-physics-mcq

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16
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The rest mass of a nucleus of Boron-11 (B presubscript 5 presuperscript 11) can be considered as mB. The rest-masses of a neutron and proton can be considered as mN and mP respectively. Which of the following equations is the correct representation for the binding energy of Boron-11?

  • (5mP + 6mNmB)c2

  • (5mP + 6mN + mB)c2

  • (5mP + 11mNmB)c2

  • (6mP + 5mNmB)c2

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17
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The binding energy per nucleon is 7.98 MeV for an atom ofblank subscript 8 superscript 16 O . Approximately how much energy would be needed to completely separate the nucleons of this atom?

  • 33.2 MeV

  • 63.9 MeV

  • 88.5 MeV

  • 127.7 MeV

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18
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The mass defect for Helium-4 is 5.04 × 10–29 kg. What is the binding energy of Helium-4 closest to?  

  • 0.02 MeV

  • 28 MeV

  • 190 MeV

  • 1225 MeV

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19
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Two identical nuclei of mass m fuse to form a single heavier nucleus (with no other products) with mass M. Which of the following statements is correct?

  • m = M

  • 2m = M

  • 2m > M

  • 2m < M

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20
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Nitrogen-14 can be transformed into Oxygen-17 by bombardment with high energy alpha particles, as described in the nuclear reaction equation below:

N presubscript 7 presuperscript 14 plus scriptbase H e end scriptbase presubscript 2 presuperscript 4 rightwards arrow O presubscript 8 presuperscript 17 plus H presubscript 1 presuperscript 1

The total rest mass of the reactants is 18.006 u and total rest mass of the products is 18.007 u.

Which of the following statements about this reaction is correct?

  • A mass of 0.001 u has been converted to about 1 MeV of energy

  • The kinetic energy of the products exceeds the kinetic energy of the reactants by about 1 MeV 

  • The kinetic energy of the reactants exceeds the kinetic energy of the products by about 1 MeV

  • The mass defect of this reaction is 0.002 u

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21
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The graph below shows how the average binding energy per nucleon varies with nucleon number for stable nuclei.

q20_nuclear-reactions_ib-sl-physics-mcq-tif

Approximately how much energy is released when the nucleus straight X presubscript 70 presuperscript 181 forms?

  • 7.90 MeV

  • 1430 MeV 

  • 533 MeV

  • 888 MeV

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22
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Which statement about nuclear binding energy is correct?

  • It is the energy equivalent of the mass of the neutrons in a nucleus

  • It is the energy required to separate nucleons in a nucleus

  • It is the energy required to overcome the electrostatic force between nucleons in the nucleus

  • It is the energy required to remove a single nucleon from a nucleus

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