Interpreting Particle Tracks (Edexcel International A Level Physics)
Revision Note
Interpreting Particle Tracks
Particle detectors that count particles, like Geiger-Muller tubes, are useful but they cannot distinguish different types of particle
Modern detectors can show the paths of charged particles, from which physicists are able to interpret the characteristics of the particle
The curvature of the particle tracks gives an indication of its momentum
A smaller radius means the particle has a smaller momentum
A larger radius means the particle has a larger momentum
This is due to the equation for the radius of a charged particle in a magnetic field:
Where:
r = orbital radius of charged particle (m)
p = momentum of charged particle (kg m s–1)
B = magnetic field strength (T)
Q = charge of particle (C)
m = mass of the particle (kg)
v = velocity of the particle (m s-1)
If the radius of a track is decreasing (i.e., it is spiralling closer inwards)
This means the particle's momentum is decreasing
This is because r ∝ p
Therefore, the velocity of the particle is decreasing
Hence, the kinetic energy of the particle is also decreasing, due to ionising other particles in its path
The radius and direction of particle tracks is used to determine momentum and charge. Creation and annihilation is also observable
The direction of a track's curvature gives an indication of the particle's charge
Fleming's Left Hand Rule can be used to determine the sign of the particle's charge
Sometimes, particle tracks appear to start out of 'nowhere'
This indicates particle-antiparticle creation
These paths are in opposite directions because the particle-antiparticle pair is oppositely charged
Therefore, the magnetic force on them is oppositely directed
However they have the same radius because they each have the same mass (and hence, momentum)
Therefore charge, energy and momentum are always conserved in interactions between particles
Worked Example
The image shows red and yellow tracks in a cloud chamber. The magnetic field goes into the page.
a) Explain how you can tell from the image that a particle-antiparticle pair is being created.
b) Identify which track represents a negatively charged particle.
Answer:
Part (a)
Step 1: Comment on the source of the tracks
The red and yellow tracks begin together out of 'nothing'
This indicates an uncharged particle is creating charged particles
Step 2: Comment on the radius of the tracks
Both the red and yellow tracks have the same radius
This indicates both particles have the same momentum, and mass, which is true for creation of a particle-antiparticle pair
Step 3: Comment on the direction of the tracks
Both tracks spiral in opposite directions
This indicates each particle is oppositely charged, because the (centripetal) magnetic force acts on them in the opposite directions
Part (b)
Step 1: Determine the direction of particle velocity and centripetal force
The centripetal force on each particle must be toward the centre of orbit
The tracks begin from a point and spiral away from each other, so the particle velocity must be as indicated in the image below:
Step 2: Apply Fleming's Left Hand Rule for the red track
Fleming's Left Hand Rule gives the direction of the magnetic force on a positively charged particle in a magnetic field
The first finger should point into the page, along the direction of the magnetic field
On the red track, the thumb should point toward the centre of orbit (the direction of the force)
The second finger points downward, but the actual particle velocity is upward
Therefore, the red track must indicate a negatively charged particle
Step 3: Check Fleming's Left Hand Rule for the yellow track
The first finger should again point into the page
On the yellow track, the thumb should also point toward the centre of orbit (the direction of the force)
The second finger points downward, which is in agreement with the actual particle velocity
Therefore, the yellow track must indicate a positively charged particle
Examiner Tips and Tricks
Sometimes, examiners will ask you to explain whether particles are simply moving upward or downward across an image. The first thing to consider should be the radius of the particle track: you expect the radius to be decreasing, because charged particles will tend to continue ionising other particles around them - hence losing kinetic energy.
As their kinetic energy decreases, so does their momentum - and hence, track radius will also decrease. This should be enough to determine which direction the particle is coming from and heading towards!
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