# 28 marks total assignment 14 compton, de broglie, and

28
Marks Total ASSIGNMENT 14

Compton, de Broglie, and Wave-Particle Duality

(1)

There are similarities and differences between the Photoelectric Effect and Compton Scattering. Complete each of the six partial statements below using the following guide; all you need to provide for an answer is PE, CS, BOTH, or NEITHER.

• PE if the statement only applies to the Photoelectric Effect
• CS if the statement only applies to Compton Scattering
• BOTH if the statement only applies to both the Photoelectric Effect and Compton Scattering
• NEITHER if the statement applies to Neither the Photoelectric Effect or Compton Scattering

a. Energy is conserved in _____.

(1)

b. Photons are observed before and after the interaction in _____.

(1)

c. Electrons are observed as the result of the experiment in _____.

(1)

d. Angles are measured in the experiment in _____.

(1)

e. Photons with very low energies such as 5.0 to 10.0 eV is observed in _____.

(1)

f. Ionization occurs in _____.

(2) 2.

What quantity measured in the Compton effect experiment show the wave-particle duality of light?

(5) 3.

An X-ray with a frequency of 3.74 × 1020 Hz is incident on a thin piece of metal. The lower frequency X-ray on the other side is observed deflected at 48o. What is the frequency of the deflected X-ray?

(5) 4.

A scientist changes the frequency of an incident X-ray to 4.50 × 1019 Hz and measures the deflected X-ray frequency of 4.32 × 1019 Hz. What was the angle of deflection?

(2) 5.

Can the equation E = pc be applied to particles? Why or why not?

(3) 6. A stationary hydrogen atom with a mass of 1.67 × 10-27 kg absorbs a photon of light with 10.2 eV. What is the velocity of the hydrogen atom after absorbing the photon in a perfectly inelastic collision?

(2) 7.
Describe the results of performing Young’s experiment with x-rays and then high speed electrons.

(2) 8.
How do the results of performing Young’s experiment with x-rays and then high speed electrons support the wave-particle model?

(1) 9.
All of the following quantities can be measured or calculated for light waves and subatomic particles except _____.

A. momentum
B. velocity
C. frequency
D. energy