3. a) Alpha particles of the same initial speed are shot at the same intensity toward gold, silver, and aluminum foils of the same thickness. They are observed at a detector at a fixed scattering angle, 0 0°. What would the ratios of the number NaAu of alpha particles scattered by the gold and silver foils to the aluminum foil, NaAl NaAg NaAl and respectively, be? (ZAu = 79, ZAg = 47, ZAI = 13). b) Compare the number of a particles of fixed kinetic energy scattered through an angle of 10° (call this Na(10°)) with the number scattered through an angle of 20° (Na (20°)) for Rutherford scattering by a thin gold foil of fixed thickness. Compute No (10⁰) Na (20°)* Ze Rutherford's scattering model assumes that the alpha particles experience a Coulomb repulsion, F = Kaze from the nucleus of the foil's atom. If, in a head-on collision the alpha particle has enough energy to get inside a uniformly charged Kqa Zer nucleus of radius R, the force law would change to F = and Rutherford's point-nucleus calculation would fail. R³ "
3. a) Alpha particles of the same initial speed are shot at the same intensity toward gold, silver, and aluminum foils of the same thickness. They are observed at a detector at a fixed scattering angle, 0 0°. What would the ratios of the number NaAu of alpha particles scattered by the gold and silver foils to the aluminum foil, NaAl NaAg NaAl and respectively, be? (ZAu = 79, ZAg = 47, ZAI = 13). b) Compare the number of a particles of fixed kinetic energy scattered through an angle of 10° (call this Na(10°)) with the number scattered through an angle of 20° (Na (20°)) for Rutherford scattering by a thin gold foil of fixed thickness. Compute No (10⁰) Na (20°)* Ze Rutherford's scattering model assumes that the alpha particles experience a Coulomb repulsion, F = Kaze from the nucleus of the foil's atom. If, in a head-on collision the alpha particle has enough energy to get inside a uniformly charged Kqa Zer nucleus of radius R, the force law would change to F = and Rutherford's point-nucleus calculation would fail. R³ "
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Transcribed Image Text:3. a) Alpha particles of the same initial speed are shot at the same intensity
toward gold, silver, and aluminum foils of the same thickness. They are observed at
a detector at a fixed scattering angle, 0 0°. What would the ratios of the number
of alpha particles scattered by the gold and silver foils to the aluminum foil, Au
NaAl
Na Ag
NaAl
and respectively, be? (ZAu = 79, ZAg = 47, ZA1 = 13).
b) Compare the number of a particles of fixed kinetic energy scattered through an
angle of 10° (call this Na (10°)) with the number scattered through an angle of 20⁰
(Na (20°)) for Rutherford scattering by a thin gold foil of fixed thickness. Compute
Na (10⁰)
No (20°)*
Rutherford's scattering model assumes that the alpha particles experience a
Coulomb repulsion, F = KZe from the nucleus of the foil's atom. If, in a head-on
collision the alpha particle has enough energy to get inside a uniformly charged
KaZer
nucleus of radius R, the force law would change to F
and Rutherford's
R³ "
point-nucleus calculation would fail.
=
Expert Solution
Step 1
#3:
#(a):
We use the formula below from Rutherford's scattering experiment for the number of scattered alpha-particles(N).
where k = constant
e = charge of electron = constant
m = mass of alpha-particle = constant
v = initial speed of alpha-particle = constant
= Scattering angle = constant
Z = Atomic number (The only variable)
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