8: Nuclear Physics Flashcards
What was the Rutherford scattering experiment?
-A beam of alpha particles was fired at a piece of thin gold foil
-Occurred in a vacuum to avoid collisions with air particles
-Carried out to determine structure of nucleus
What was observed as a result of the Rutherford scattering experiment?
-Most particles went straight through
-However some particles were deflected or reflected back
What was inferred as a result of the Rutherford scattering experiment?
-Atom was mostly empty space
-Nucleus had a positive charge
What are the properties of alpha radiation?
-Strong ionisation
-Weak penetration
-Can be stopped by air or a thin sheet of paper
What are the properties of beta radiation?
-Medium ionisation
-Medium penetration
-Can be stopped by a few cms of aluminium foil
What are the properties of gamma radiation?
-Weak ionisation
-Strong penetration
-Can be stopped by lead/concrete
Why is ionising radiation dangerous?
-It can kill/mutate cells
-Leads to mutations and can cause cancer
Which type of radiation follows the inverse-square law?
-Gamma
What is the inverse square law?
-The intensity is inversely proportional to the square of the distance from the source
-I=k/r^2
What safety measures are involved when handling radiation?
-Store in lead-lined containers
-Handle with tongs or wear gloves
-Minimise the exposure time
What is an experiment that can be done to show that the inverse-square law applies to gamma radiation?
-Firstly measure background radiation without the gamma source in the room
-Then put the gamma source at a set distance from the GM tube and measure the count rate per minute
-Record 3 measurements for each distance and take an average.
-Do this for many distances going up in 10cm intervals –Take away the background radiation from each reading to find the corrected count rate
-Plot a graph of the count rate per minute against 1 over distance squared (1/d²)
-If it is a straight line through the origin then it confirms they are directly proportional
What is background radiation?
-Radiation that is constantly in the surrounding areas
What are some sources of background radiation?
-The air
-Medical procedures
-Buildings
-The sun
What is the decay constant (λ)?
-The probability of the nucleus decaying each second
What is the equation for random decay?
-Δ N / Δt = - λN
How is the number of atoms calculated for a radioactive sample?
-N=N0.e^(-λt)
How is the activity calculated?
-The decay constant multiplied by the number of atoms
-A=λN
-A=A0.e^(-λt)
What is the half-life of a substance?
-The time taken for the activity of a radioactive substance to half.
How is the half-life calculated?
T(1/2)=ln2/λ
Why is technetium used as a tracer?
-Releases gamma radiation
-Has a short half-life
-Easy to detect
How is the distance of closest approach calculated?
-All kinetic energy is transferred to potential energy
-r=(2kQq)/(mv^2)
How is electron diffraction used to determine the diameter of a radius?
-An electron beam is fired at a thin sheet of the atom
-A diffraction pattern is produced on a screen behind
-The angle to the minima can be used to find the diameter
How is nuclear radius proportional to the number of nucleons?
-The nuclear radius is proportional to the cube root of the number of nucleons
-R=r0.A^(1/3)
What is the typical value for the radius of one atom?
-r0=1.5fm