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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
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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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. =
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). 

Nα = Z2*k2*e4m2*v4*sin4θ2

where k = constant

e = charge of electron = constant

m = mass of alpha-particle = constant

v = initial speed of alpha-particle = constant

θ = Scattering angle = constant

Z = Atomic number (The only variable) 

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