Physics - Radioactivity


Flashcards

2022-02-10

Where is all radiation emitted from?


An unstable nucleus.

What are the four different types of radiation?


  1. Alpha
  2. Beta-minus
  3. Beta-plus
  4. Gamma

What particle is emitted in beta-minus radiation?


An electron.

What particle is emitted in beta-plus radiation?


A positron.

What instrument do you use to detect radiation?


A Geiger-Muller counter.

What must you subtract from every Geiger-Muller counter in order to accurately determine the radioactivity of a substance?


The background radiation.

What sort of things does the background radiation come from?


Earth, cosmic rays, food.

What is a cloud chamber used for?


Seeing the path that ionising radiation takes.

What does a Geiger counter not tell you?


The type of radiation.

How do you determine what type of radiation something is?


Look at how far it travels and what it passes through.

What particle mediates alpha radiation?


An alpha particle, $\alpha$

What happens to the number of protons and neutrons in the nucleus during alpha radiation?


  • Protons: $-2$
  • Neutrons: $-2$

How ionising is alpha radiation?


Strongly ionising.

Why is alpha radiation strongly ionising?


Because alpha particles have a large mass and charge.

What charge does alpha radiation transmit?


\[+2e\]

What is the approximate mass of an alpha particle in atomic mass units $u$?


\[4u\]

How fast are the alpha particles in alpha radiation?


Slow.

Why are alpha particles slow?


Because they are heavy.

How far do alpha particles travel in air?


\[\approx 5\text{cm}\]

What are alpha particles typically absorbed by?


Skin and paper.

What particle mediates beta-plus radiation?


A position, $\bar{e}$

What happens to the number of protons and neutrons in the nucleus during beta-plus radiation?


  • Protons: $-1$
  • Neutrons: $+1$

Why is the ionisation of beta-plus radiation typically glossed over?


Because the positron annihilates electrons.

What charge does beta-plus radiation transmit?


\[+1e\]

What is the approximate mass of a beta-plus particle (a positron) in atomic mass units $u$?


\[1/2000 u\]

What is the typical speed of a beta-plus particle?


Fast.

Why are beta-plus particles fast?


Because they are very light.

Why don’t beta-plus particles travel very far?


They very quickly become annihilated.

What particle mediates beta-minus radiation?


An electron, $e$

What happens to the number of protons and neutrons in the nucleus during beta-minus radiation?


  • Protons: $+1$
  • Neutrons: $-1$

Relatively how ionising is beta-minus ionisation?


Moderately ionising.

What charge does beta-minus radiation transmit?


\[-1e\]

What is the approximate mass of a beta-minus (an electron) particle in atomic mass units $u$?


\[1/2000 u\]

What is the typical speed of a beta-minus particle?


Fast.

Why are beta-minus particles fast?


Because they are very light.

How far do beta-minus particles travel in air?


\[\approx 1\text{m}\]

What are beta-minus particles typically absorbed by?


$1-3\text{mm}$ of aluminium.

What mediates gamma radiation?


Photons.

What happens to the number of protons and neutrons in the nucleus during gamma radiation?


Nothing.

Relatively how ionising is gamma radiation?


Weakly ionising.

What charge does gamma radiation transmit?


\[0\]

What is the speed of gamma ray radiation?


The speed of light.

What is gamma radiation typically absorbed by?


A few centimeters of lead or thick concrete.

2022-02-14

What order of magnitude is the speed of an alpha particle?


\[10^6 \text{ms}^{-1}\]

What order of magnitude is the speed of a beta-plus or beta-minus particle?


\[10^8 \text{ms}^{-1}\]

What does the setup for testing what type of radiation a radioactive source is emitting (ideally as a very poorly drawn diagram)?


PHOTO RADIOACTIVITY SETUP

PHOTO RADIOACTIVITY SETUP How can you use this setup to test what type of radiation a source is emitting?


  1. Vary the distance of the Geiger-Muller tube.
  2. Place absorbers between the source and detector.

PHOTO RADIOACTIVITY SETUP What distance do you have to place absorbers away when using this setup to ensure you account for all types of radiation?


\[5 \text{cm}\]

PHOTO RADIOACTIVITY SETUP Why is it difficult to use this setup to determine the type of radiation something is by varying the distance between the source and detector?


Because it’s hard to ensure the radiation is travelling directly towards the tube.

What four things can you do to ensure safety when handling radioactive sources (MMHD)?


  1. Minimise exposure time
  2. Maximise distance to source
  3. Handle with tongs
  4. Don’t point at anyone

2022-02-17

Why does a beta-plus or a beta-minus get deflected more than an alpha particle in an electric or magnetic field despite having a smaller charge?


Because the mass is much smaller, its much easier for the force to change its motion.

What happens to a gamma ray in a magnetic or electric field?


Nothing; it’s not deflected at all.

What happens to a “parent nucleus” in nuclear decay?


It decays into a daughter nucleus.

What two quantities are always conserved in nuclear decay and nuclear decay equations?


Nucleon number and proton number.

Here is alpha decay of a mystery element $X$:

\[^A _ Z X \to ^{??} _ {Z-2} Y + ^4 _ 2 \text{He}\]

What is the missing value?


\[A - 4\]

Here is the beta-minus decay of a mystery element $X$:

\[^A _ Z X \to ^A _ {??} Y + ^0 _ {-1}e + ^0 _ 0 \bar{v _ e}\]

What is the missing value?


\[Z + 1\]

Here is the beta-plus decay of a mystery element $X$:

\[^A _ Z X \to ^{??} _ {A - 1} Y + ^0 _ {-1}e + ^0 _ 0 \bar{v _ e}\]

What is the missing value?


\[A\]

Here is the gamma decay of a mystery element $X$:

\[^A _ Z X^{*} \to ^{??} _ {Z} X + ^0 _ 0 \gamma\]

What is the missing value?


\[A\]

What does the fun asterisk $X^*$ represent in the gamma decay equation $X$:

\[^A _ Z X^{*} \to ^{??} _ {Z} X + ^0 _ 0 \gamma\]

?


The fact the nucleus is excited.

When is gamma radiation normally emitted?


Alongside an alpha or beta radiation.

What type of radioactive nuclear decay doesn’t form a new element?


Gamma.

For light nuclei, what is typically true about the ratio of protons to neutrons?


It is roughly the same.

For heavy nuclei, what is typically true about the ratio of protons to neutrons?


There are more neutrons than protons.

What type of radiation is common for very heavy nuclei and why?


Alpha radiation, because the nuclei are trying to quickly reduce their mass.

What type of radiation is common for nuclei with too many protons?


Beta-plus.

What type of radiation is common for nuclei with too many neutrons?


Beta-minus.

What is “greatest number of ion pairs” overly complicated science talk for?


“most ionising”.

2022-02-28

What are the two properties of radioactive decay?


  • Random
  • Spontaneous

What does it mean for radioactive decay to be random?


You can’t predict when a specific nucleus will decay.

What does it mean for radioactive decay to be spontaneous?


The presence of other nuclei does not affect the probability of a nucleus decaying (i.e. it’s independent).

In what way is nuclear decay like a dice roll?


  • Random; you can assign a probability to a dice roll but not say a specific outcome
  • Independent; rolling 1000 dice doesn’t change the odds of what 1 die will be

How can you affect the rate or probability of nuclear decay of a particular isotope?


You can’t.

What is the half-life of a radioactive isotope?


The average time it takes for half the active nuclei in the same isotope to decay.

What unit is radioactive activity measured in?


\[\text{Becquerels}, \text{Bq}\]

What is radioactive activity?


The number of disintegrations per unit time.

What is a disintegration?


The nuclear decay of a single neutron.

What units is the count rate of a radioactive source measured in?


\[\text{s}^{-1}\]

What does $2000\text{Bq}$ mean?


$2000$ radioactive nuclei decay per second.

Why does activity decrease with time?


Because there will be less nuclei.

What is the notation for half-life?


\[t_{1/2}\]

How could you write activity in terms of change in nuclei $\Delta N$ and change in time $\Delta t$?


\[\frac{\Delta N}{\Delta t} = A\]

What proportionality equation links the change in nuclei $\Delta N$ and the change in time $\Delta t$?


\[\Delta N \propto N \Delta t\]

2022-03-03

What is the formula for activity $A$ after a certain amount of time $t$ has elapsed in nuclear decay?


\[A = A_0 e^{-\lambda t}\]

What is the formula for the nuclei decaying $N$ after a certain amount of time $t$ has elapsed in nuclear decay?


\[N = N_0 e^{-\lambda t}\]

How could you find the value of $\lambda$ given the relationship $A = A _ 0 e^{-\lambda t}$ and a set of data points?


Take the log of both sides and plot $\log A$ against $t$.

What equation links decay constant $\lambda$ and half-life $t _ {1/2}$?


\[\lambda t_{1/2} = \ln 2\]

2022-03-07

How can you interpret the decay constant $\lambda$?


The probability of a nucleus decaying in one second.

2022-03-08

What is using “iterative modelling” in radioactivity?


Working out the number of undecayed nuclei by Euler’s method.

What is the step for using iterative modelling to find $\Delta N$ given a step size $\Delta t$ and current nuclei $N$?


\[\Delta N = (\lambda \Delta t) N\]

Why does Carbon-14 end up in every living organism?


Carbon is produced in the atmosphere, plants eat up the atmosphere and then animals eat plants.

What is the oldest you can date something using carbon dating?


Around 50,000 years.

What assumptions is made when you use carbon dating?


The ratio of carbon-14 to carbon-12 has stayed constant over time

Why can’t you use carbon dating to date rocks on earth?


Because the rocks are old enough that all the carbon-14 has disappeared.

What collides with carbon-12 in the atmosphere to turn it into carbon-14, the element used for radioactive dating?


High-speed protons in cosmic rays.

2022-03-14

What is sometimes problematic about carbon dating (and isn’t the fact that you’re assuming the ratio stays the same)?


The count rate is very small compared to the background rate.




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