Concept explainers
The radius of the alpha particle’s trajectory.
Answer to Problem 63AP
The radius of the alpha particle’s trajectory is
Explanation of Solution
Write the equation for the radius of the trajectory of the proton.
Here,
Write the equation for the radius of the trajectory of the alpha particle.
Here,
Write the equation for the principle of conservation of linear momentum.
The alpha particle's mass is four times the proton's mass.
Substitute
Write the equation for the principle of conservation of energy.
Substitute
Take the square of equation (IV) and then divide by
Compare the equation (VI) and (VII).
Rewrite the equation (I).
Rewrite the equation (II).
Substitute
The alpha particle's charge is twice the proton's charge.
Substitute
Conclusion:
Therefore, the radius of the alpha particle’s trajectory is
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Chapter 29 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
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