A point source isotropically emitting 10^8 fast nuetrons

In summary, the problem asks for the fluence of neutrons that would strike a passenger at the same height as the source, given a point source emitting 10^8 fast neutrons per second, falling 3 m horizontally from the track onto a railroad platform while a train passes by at 60 mph. The relevant equation for this problem is Fluence=dN/da. To solve, the distance to the train must be written as a function of velocity and time, using the equation r^2=9+v^2*t^2. The integral of this equation must be taken from -infinity to infinity, taking into consideration the passenger moving radially away from the point source.
  • #1
bel10
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Homework Statement


A point source isotropically emitting 10^8 fast nuetrons per second falls out of its shield onto a railroad platform 3 m horizontally from the track. A train goes by at 60 mph. Ignoring scattering and attenuation, what is the fluence of nuetrons that would strike a passenger at the same height above the track as the source?

2. Relevant equation
Fluence=dN/da

The Attempt at a Solution


I know you need to write the distance to the train as a function of velocity and time. This can be done by having r^2=9+v^2*t^2. If the person in exactly across from the point source at t=0. I know I need to integrate this equation over some dt from -infinity to infinity but I'm confused as to what integral this goes into.
 
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  • #2
Maybe you can consider the passenger moving radially away from the point source?
 

FAQ: A point source isotropically emitting 10^8 fast nuetrons

1. What is a point source isotropically emitting 10^8 fast neutrons?

A point source isotropically emitting 10^8 fast neutrons refers to a hypothetical source of neutrons that emits 10^8 neutrons per second in all directions equally.

2. How is the emission of neutrons from a point source measured?

The emission of neutrons from a point source can be measured using a neutron detector, which is a device that can detect and quantify the number of neutrons present in a given area.

3. What are fast neutrons and how do they differ from other types of neutrons?

Fast neutrons are neutrons that have high kinetic energy, meaning they are moving at high speeds. They differ from other types of neutrons, such as thermal or slow neutrons, which have lower kinetic energy and move at slower speeds.

4. Is the emission of 10^8 fast neutrons from a point source considered to be a large amount?

Yes, the emission of 10^8 fast neutrons from a point source is considered to be a large amount. This is because even a small number of fast neutrons can have a significant impact on the surrounding environment and materials.

5. What are some potential uses for a point source isotropically emitting 10^8 fast neutrons?

Some potential uses for a point source isotropically emitting 10^8 fast neutrons include in research and experiments involving neutron interactions, in medical treatments such as neutron therapy for cancer, and in industrial applications such as neutron radiography for inspecting materials.

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