Deck 21: More About Matter Waves, Photons and Matter Waves

Question 1

The principle of complementarity is due to:

A) Einstein
B) Maxwell
C) Newton
D) Bohr
E) Schrodinger

Answer 1

Bohr

Question 2

The binding energy of an electron in the ground state in a hydrogen atom is about:

A) 13.6 eV
B) 3.4 eV
C) 10.2 eV
D) 1.0 eV
E) 27.2 eV

Answer 2

13.6 eV

Question 3

When a hydrogen atom makes the transition from the second excited state to the ground state (at -13.6 eV) the energy of the photon emitted is:

A) 0
B) 1.5 eV
C) 9.1 eV
D) 12.1 eV
E) 13.6 eV

Answer 3

12.1 eV

Question 4

Which of the following sets of quantum numbers is possible for an electron in a hydogen atom?

A) n = 4,
B) n = 4,
C) n = 5,
D) n = 3,
E) n = 2,

Question 5

Consider the following:
I. the probability density for an state
II. the probability density for a state with
III. the average of the probability densities for all states in an subshell Of these which are spherically symmetric?

A) only I
B) only II
C) only I and II
D) only I and III
E) I, II, and III

Question 6

The radial probability density for the electron in the ground state of a hydrogen atom has a peak at about:

A) 0.5 pm
B) 5 pm
C) 50 pm
D) 500 pm
E) 5000 pm

Question 7

The units of the Planck constant h are those of:

A) energy
B) power
C) momentum
D) angular momentum
E) frequency

Question 8

The frequency of light beam A is twice that of light beam B. The ratio E_A/E_B of photon energies is:

A) 1/2
B) 1/4
C) 1
D) 2
E) 4

Question 9

A photon in light beam A has twice the energy of a photon in light beam B.The ratio p_A/p_B of their momenta is:

A) 1/2
B) 1/4
C) 1
D) 2
E) 4

Question 10

Of the following, Compton scattering from electrons is most easily observed for:

A) microwaves
B) infrared light
C) visible light
D) ultraviolet light
E) x rays

Question 11

J. J. Thompson's measurement of e/m for electrons provides evidence of the:

A) wave nature of matter
B) particle nature of matter
C) wave nature of radiation
D) particle nature of radiation
E) transverse wave nature of light

Question 12

Evidence for the wave nature of matter is:

A) electron diffraction experiments of Davisson and Germer
B) Thompson's measurement of e/m
C) Young's double slit experiment
D) the Compton effect
E) Lenz's law

Question 13

Consider the following three particles:
1)a free electron with speed v₀
2)a free proton with speed v₀
3)a free proton with speed 2v₀
Rank them according to the wavlengths of their matter waves, least to greatest.

A) 1, 2, 3
B) 3, 2, 1
C) 2, 3, 1
D) 1, 3, 2
E) 1, then 2 and 3 tied

Question 14

Consider the following three particles:
1)a free electron with kinetic energy K₀
2)a free proton with kinetic energy K₀
3)a free proton with kinetic energy 2K₀
Rank them according to the wavelengths of their waves, least to greatest.

A) 1, 2, 3
B) 3, 2, 1
C) 2, 3, 1
D) 1, 3, 2
E) 1, then 2 and 3 tied

Question 15

A non-relativistic free electron has kinetic energy K.If its wavelength doubles, its kinetic energy is:

A) 4 K
B) 2 K
C) still K
D) K/2
E) K/4

Question 16

The probability that a particle is in a given small region of space is proportional to:

A) its energy
B) its momentum
C) the frequency of its wave function
D) the wavelength of its wave function
E) the square of the magnitude of its wave function

Question 17

Maxwell's equations are to electric and magnetic fields as __________ equation is to the wave function of the particle.

A) Einstein's
B) Fermi's
C) Newton's
D) Schrodinger's
E) Bohr's

Question 18

In order to tunnel through a potential barrier a particle must:

A) have energy greater than the barrier height
B) have spin
C) be massive
D) have a wavelength longer than the barrier width
E) none of the above