What is the correct speed of alpha particles directed towards lead foil?

In summary, "Finding the speed of alpha" is a scientific process that involves calculating the speed of positively charged particles emitted by radioactive materials. This is important because it helps us understand the behavior and potential effects of these materials. The speed of alpha particles is determined by measuring their distance traveled over a given time and using the equation v = d/t. Factors such as the type of material, energy level, and external forces can affect their speed. The units of measurement for alpha particle speed are typically meters per second or centimeters per second.
  • #1
hayowazzup
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Homework Statement


A beam of α particles with energy/particle = 2.86 MeV is directed towards lead foil.
What is the speed of the α particles?

Homework Equations


E = 1/2 mv^2
v = SQRT(2E/m)
v = SQRT((2)(2.86E+6)(1.602E-19) / (1.673E-27) ) = 23403526 m/s = 0.078c
but the ans is 0.039c which is half of the answer above. Why??


The Attempt at a Solution

 
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  • #2
Did you do your calculations right? Did you use the right constants?

Punching
(2 * 2.86 MeV / (4 * (proton mass)))^(1/2) / c​
into google gives me the correct answer. (I've assumed the difference in proton and neutron masses are negligible)

Incidentally, I'm assuming you are neglecting relativistic effects?
 

Related to What is the correct speed of alpha particles directed towards lead foil?

1. What is "Finding the speed of alpha"?

"Finding the speed of alpha" is a scientific process used to calculate the speed of alpha particles, which are positively charged particles that are emitted by radioactive materials.

2. Why is it important to find the speed of alpha?

Knowing the speed of alpha particles can help us understand the behavior of radioactive materials and their potential effects on human health and the environment.

3. How is the speed of alpha determined?

The speed of alpha particles can be determined by measuring the distance they travel in a given amount of time and using the equation v = d/t, where v is the speed, d is the distance, and t is the time.

4. What factors can affect the speed of alpha particles?

The speed of alpha particles can be affected by the type of radioactive material, the energy level of the particles, and any external forces such as electromagnetic fields or collisions with other particles.

5. What are the units of measurement for the speed of alpha particles?

The speed of alpha particles is typically measured in meters per second (m/s) or centimeters per second (cm/s).

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