WJEC A-Level Physics 1420QS
Basic Physics
Kinematics
Dynamics
Energy Concepts
Solids Under Stress
Using Radiation to Investigate Stars
Particles and Nuclear Structure
Conduction of Electricity
Resistance
D.C. Circuits
The Nature of Waves
Wave Properties
Refraction of Light
Photons
Lasers
Circular Motion
Vibrations
Kinetic Theory
Thermal Physics
Nuclear Decay
Nuclear Energy
Capacitance
Electrostatic and Gravitational Fields of Force
Orbits and the Wider Universe
Magnetic Fields
Electromagnetic Induction
Option A: Alternating CurrentsOption A
Option B: Medical PhysicsOption B
Option C: The Physics of SportsOption C
Option D: Energy and the EnvironmentOption D
Mathematical Requirements (Appendix C)
Mathematical Requirements (Appendix C)
Log plots of exponential decay
- 2 things to know
- All units
Overview
Recall questions on Log plots of exponential decay.
What you need to know
Answer each one before you reveal it.
What is the gradient of a ln(N) against time graph?
Questions from this subtopic
Each one with the model answer underneath.
- 1
What type of graph is obtained when ln(N) is plotted against time?
Model answer
A straight line.
- 2
What is the gradient of a ln(N) against time graph?
Model answer
−λ (negative decay constant).
- 3
When plotting a graph of ln(A) against time for a radioactive sample, what shape of line is obtained?
Model answer
A straight line.
- 4
What does the gradient of a ln(A) versus time graph represent for a radioactive decay process?
Model answer
The gradient equals -λ (negative decay constant)
- 5
What is the y-intercept of a ln(A) versus time graph for radioactive decay?
Model answer
ln(A₀), where A₀ is the initial activity at time t = 0.
- 6
Why is plotting ln(A) against time more useful than plotting A against time when determining the decay constant?
Model answer
The ln(A) vs time graph gives a straight line, making it easier to determine λ accurately from the gradient, whereas an A vs time graph gives an exponential curve which is harder to analyse precisely.
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