chapter 26 - Nuclear physics (scuffed quizlet) Flashcards
Einsteins equation
E=mc^2
The two interpretations of Einsteins equation
mass is a form of energy
energy has mass
Explanation of the first interpretation of Einsteins equation that mass is a form of energy
the interaction of an electron-positron pair illustrates how these two particles completely destroy each other (annihilation) and the entire mass of the particles is transformed into two gamma photons.
Explanation of the second interpretation of Einstein’s equation that energy has mass
the change in mass of an object is related to the change in energy by the equation ΔE=Δmc^2 - a moving ball has kinetic energy implying that its mass is greater than its rest mass.
or more simply, a mug of hot tea will decrease in mass as it cools but by an almost negligible amount.
Equation to calculate change in mass of a moving everyday object
Δm = 1/2 mv^2 / c^2
What event can not be explained by the conservation of energy theory
In alpha decay, the parent nucleus emits an alpha particle, creating a daughter nucleus, which recoils in the opposite direction. Both the alpha particle and daughter nucleus have kinetic energy.
How to explain alpha decay with the conservation of mass-energy
the total amount of mass and energy in a system is conserved. Since energy is released in radioactive decay there must be an accompanying decrease in mass. This means the total mass of the alpha particle and the daughter nucleus must be less than the mass of the parent nucleus - said decrease in mass is equivalent to the energy released.
How does a pet scan use annihilation
when a positron and electron see they annihilate each other and their entire mass is transformed into energy in the form of two identical gamma photons- the point of annihilation can be calculated
What occurs in pair production
a single photon vanishes and its energy creates a particle and corresponding antiparticle.
An increase in mass multiplied by c^2 must be …
equal to the minimum kinetic energy of the colliding particles
What is deuterium
an isotope of hydrogen
what is in the nucleus of deuterium
one proton and one neutron
According to Einsteins equation, what happens to the mass of nucleons separated from the deuterium nucleus
when the proton and neutron are separated their total mass when separated must be greater than the mass of the deuterium nucleus
What is the mass defect
the difference between the mass of the completely separated nucleons and the mass of the nucleus
What is the binding energy
the minimum energy required to completely separate a nucleus into its constituent protons and neutrons