Students want to construct a scattering experiment using a powerful source of 5.5-MeV ∝ particles to scatter from a gold foil. They want to be able to count 1 particle/s at 50°, but their detector is limited to a maximum count rate of 2000 particles/s. Their detector subtends a small angle. Will their experiment work without modifying the detector if the other angle they want to measure is 6°? Explain

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Students want to construct a scattering experiment using a powerful source of 5.5-MeV ∝ particles to scatter from a gold foil. They want to be able to count 1 particle/s at 50°, but their detector is limited to a maximum count rate of 2000 particles/s. Their detector subtends a small angle. Will their experiment work without modifying the detector if the other angle they want to measure is 6°? Explain

Expert Solution
Step 1

Number of particles scattered per unit area [N(θ)] is given by,

Advanced Physics homework question answer, step 1, image 1

Here, No denotes the initial number of particles, n denotes the number of atoms per volume, t denotes the thickness of the target, K denotes the kinetic energy of the incident particle and z1, z2 are the atomic numbers.

Since no other variable in equation (i) changes other than the angle.

 

 

 

Step 2

The ratio of the number of particles at angle 50o to the number of particles at 6o will be given as,

Advanced Physics homework question answer, step 2, image 1

 

 

 

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