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What other value can you sub into the radioactive decay equation? 𝑁 = 𝑁oe^−t𝜆
Activity, A = Aoe^-λt
What is the general shape of a graph that has
Y axis - Binding energy per nucleon
X axis - Nucleon number
What should its peak value be?
Draw something like this, the peak being 8.7MeV
On which side of the peak does fission and fusion occur?
Right of the peak - Fission
Left of the peak - Fusion
Sketch a labelled diagram showing the experimental arrangement of the apparatus used by Rutherford.
If asked to determine a half-life from a graph, its better that you…
Take 2 readings and find an average half-life time
What does corrected count rate mean?
Activity - background activity
How can you ensure the measured count rate is accurate?
Take an average
If a question says ‘‘probability of decay’’ what is it actually referring to?
Decay constant
What is a sanity check you can do when working with a decay constant?
Its always a very small number, so if its not theres been an error in your working
If a question mentions a numerical amount for a background count rate, and later asks you to find a background rate, what MUST you make sure you remember to do
Add the background rate onto the calculated count rate
What material can stop Beta particles?
aluminum sheet
If asked to find the energy released from 2 nuclei fusing, what must you do? (2 things)
Find the difference in mass, then convert it into MeV using u
E = mc² often needed
In thermal physics, what is a useful equation to know regarding work done?
W = Q_shc + Q_slh
Give 4 assumptions made in deriving the kinetic theory model equation
All collisions are elastic
Volume of particles is negligible
Collision time is negligible compared to time between collisions
There are no forces between the particles except during collisions
Explain why molecules of gas exert a force on the walls of a container (2 points)
Change in velocity when it hits wall which means Newtons second law, as they have acceleration and mass so they have force
The force on the wall is equal to the force on the particle, Newtons third law
If V is kept constant, what effect does doubling Temperature have on Pressure?
Doubled
Electrons move to outer surface
Electrons are equally spaced because electrons mutually repel
What 2 things does closer spaced field lines indicate (gravitational)
Object has high mass
Field is strong
g = 0.4
Gravity will drop off by the square of the distance
0.4/1² = 0.4
0.4/0.2² = 0.1
0.4/0.3² = 0.04
What would the area underneath this graph represent?
Work done on the object per unit mass when moving from R to 2R
Find force between P and H which is1.8×10^13
Calculate the resultant force on P from both H and G acting on it
sqrt(6.38×10^12)² + (1.8×10^13)² = 1.9×10^13
Plug resultant force into F = ma to give 9.5×10^-8
When and only when is it possible for a planet to have a circular motion around another one
When the resultant force of that planet is acting towards the centre of the other
What is the function of a core in a transformer?
Enhances the magnetic flux linkage between the primary and secondary coils, improving the efficiency of energy transfer.
What is the function of the secondary coil in a transformer?
Has a varying magnetic flux or field passing through or linking with it, inducing an alternating current (AC).
What do the functions of the secondary coil and the core result in?
An induced EMF is made, and its magnitude is determined by the number of turns in the secondary coils
Why does the number of turns in the secondary coil determine the magnitude of the induced EMF produced?
Each turn increases the magnetic flux because the strength of the magnetic field increases and interacts with other field made by primary coil
Sheets M are insulators with high resistivity which will help reduce current flowing in the core
Thin sheets of iron are used because their resistance is high which will reduce currents
In order for power to remain the same but voltage to be low, current must be high which we dont want because energy will be lost, P = I²R
If the voltage is too high it will be difficult to insulate
Explain what is meant by the binding energy of a nucleus
Energy required to separate the nucleus into its constituent protons and neutrons
How do you convert Kg into MeV?
931.5/1.661×10^-27
They must add up to 240 nucleon number and cannot be above the peak
Fission fragments have a high Z/N ratio
The initial decay mode is B-
Neutron changes to proton which are more stable so graph moves closer to stable region
What are fission fragments and what property do they usually posses?
Smaller nuclei that have been separated from a larger nucleus during fission, have high Z/N ratios
If temperature of an ideal gas doubles, what 2 things should also double?
Internal energy and pressure
What is the equation for escape velocity?
sqrt(2gR)
What does dielectric constant mean?
permittivity of medium/permittivity of free space
Polar molecules align their positive side facing the negative plate
Reduces the electric field between the plates
V decreases but charge is the same, therefore capacitance increases because C = Q/V
Dielectric constant just means you multiply the capacitance by 6
E = ½ Q²/C
E = ½ Q²/6C
(4.58x10^-9) – (7.64x10^-10) = 3.8×10^-9
Decrease the plate separation to ¼ of their original
Use a dielectric metal with 4 times greater than original
What is the relationship between Area and Diameter
Area drops off with square of diameter
Why is it better for spacecraft to be launched from the equator?
At the equator the spin of the earth is at its greatest, therefore the craft will have its largest initial kinetic energy from Earths rotation
Why would the linear speed of a satellite in higher circular orbit be less than one in lower circular orbit?
v is inversely proportional to 1/sqrt(r)
Relationship between V and Q
Proportional, double one the other doubles
what is a dielectric and what does it do
insulating material inserted between the plates that increases the permeability which increases capacitance
explain what a cyclotron is used for and what it does
it produces a beam of protons by forcing them into circular motion inside the metal Dees using a magnetic field
How does the cyclotron ensure the protons increase their radius
Dees are opposite charged which causes the protons to be accelerated across the gap increasing their speed and therefore their radius
Faradays law
EMF induced is proportional to the rate of change of flux