Question 1

An x-ray tube produces photons with wavelengths down to a minimum of $0.0827 \mathrm{~nm}$. What is the accelerating potential for this tube?

Accepted Answer

A)  $9.22 \mathrm{kV}$ 
B)  $15.0 \mathrm{kV}$ 
C)  $10.0 \mathrm{kV}$ 
D)  $123 \mathrm{kV}$ 
E)  $8.00 \mathrm{kV}$ 
A)  $9.22 \mathrm{kV}$ 
B)  $15.0 \mathrm{kV}$ 
C)  $10.0 \mathrm{kV}$ 
D)  $123 \mathrm{kV}$ 
E)  $8.00 \mathrm{kV}$ B

Question 2

What is the radius of the ground state of $\mathrm{He}^{+}$?

Accepted Answer

A)  $0.0529 \mathrm{~nm}$ 
B)  $0.212 \mathrm{~nm}$ 
C)  $0.193 \mathrm{~nm}$ 
D)  $0.0265 \mathrm{~nm}$ 
E)  $0.106 \mathrm{~nm}$ 
A)  $0.0529 \mathrm{~nm}$ 
B)  $0.212 \mathrm{~nm}$ 
C)  $0.193 \mathrm{~nm}$ 
D)  $0.0265 \mathrm{~nm}$ 
E)  $0.106 \mathrm{~nm}$ D

Question 3

According to the Bohr model, what is the kinetic energy of an electron in the ground state of hydrogen?

Accepted Answer

A)  $6.80 \mathrm{eV}$ 
B)  $27.2 \mathrm{eV}$ 
C)  0 
D)  $1.88 \mathrm{eV}$ 
E)  $13.6 \mathrm{eV}$ 
A)  $6.80 \mathrm{eV}$ 
B)  $27.2 \mathrm{eV}$ 
C)  0 
D)  $1.88 \mathrm{eV}$ 
E)  $13.6 \mathrm{eV}$ E

Question 4

An $\mathrm{x}$-ray photon of energy $3.20 \times 10$-15 J has what wavelength?

Accepted Answer

A)  $200 \mathrm{~nm}$ 
B)  $1.07 \mathrm{~nm}$ 
C)  $32.7 \mathrm{~nm}$ 
D)  $5.73 \mathrm{pm}$ 
E)  $62.1 \mathrm{pm}$ 
A)  $200 \mathrm{~nm}$ 
B)  $1.07 \mathrm{~nm}$ 
C)  $32.7 \mathrm{~nm}$ 
D)  $5.73 \mathrm{pm}$ 
E)  $62.1 \mathrm{pm}$

Question 5

According to the Bohr model, what is the potential energy of an electron in the ground state of the hydrogen atom?

Accepted Answer

A)  $-27.2 \mathrm{eV}$ 
B)  $27.2 \mathrm{eV}$ 
C)  $-13.6 \mathrm{eV}$ 
D)  0 
E)  $13.6 \mathrm{eV}$ 
A)  $-27.2 \mathrm{eV}$ 
B)  $27.2 \mathrm{eV}$ 
C)  $-13.6 \mathrm{eV}$ 
D)  0 
E)  $13.6 \mathrm{eV}$

Question 6

In a Compton scattering experiment, the scattered photon has a wavelength of $6.55 \mathrm{pm}$. If the scattering angle is $50^{\circ}$, what was the wavelength of the incident photon?

Accepted Answer

A)  $0.868 \mathrm{pm}$ 
B)  $7.42 \mathrm{pm}$ 
C)  $3.28 \mathrm{pm}$ 
D)  $5.68 \mathrm{pm}$ 
E)  $2.43 \mathrm{pm}$ 
A)  $0.868 \mathrm{pm}$ 
B)  $7.42 \mathrm{pm}$ 
C)  $3.28 \mathrm{pm}$ 
D)  $5.68 \mathrm{pm}$ 
E)  $2.43 \mathrm{pm}$

Question 7

An $x$-ray photon with wavelength $15.0 \mathrm{pm}$ is scattered at $84.0^{\circ}$ by an electron. What is the wavelength of the scattered photon?

Accepted Answer

A)  $31.0 \mathrm{pm}$ 
B)  $12.8 \mathrm{pm}$ 
C)  $14.9 \mathrm{pm}$ 
D)  $1.57 \mathrm{pm}$ 
E)  $17.2 \mathrm{pm}$ 
A)  $31.0 \mathrm{pm}$ 
B)  $12.8 \mathrm{pm}$ 
C)  $14.9 \mathrm{pm}$ 
D)  $1.57 \mathrm{pm}$ 
E)  $17.2 \mathrm{pm}$

Question 8

The work function of a surface is $6.53 \times 10^{-19} \mathrm{~J}$. What is this quantity in $\mathrm{eV}$ ?

Accepted Answer

A)  3.13 
B)  4.70 
C)  2.46 
D)  4.08 
E)  3.93 
A)  3.13 
B)  4.70 
C)  2.46 
D)  4.08 
E)  3.93

Question 9

An $x$-ray photon with wavelength $15.0 \mathrm{pm}$ is scattered through $84.0^{\circ}$ by an electron. What is the resulting kinetic energy of the electron?

Accepted Answer

A)  $10.5 \mathrm{keV}$ 
B)  $59.5 \mathrm{keV}$ 
C)  $15.0 \mathrm{keV}$ 
D)  $568 \mathrm{keV}$ 
E)  $30.1 \mathrm{keV}$ 
A)  $10.5 \mathrm{keV}$ 
B)  $59.5 \mathrm{keV}$ 
C)  $15.0 \mathrm{keV}$ 
D)  $568 \mathrm{keV}$ 
E)  $30.1 \mathrm{keV}$

Question 10

A $1.00 \mathrm{~mW}$ laser produces photons of wavelength $633 \mathrm{~nm}$. How many photons per second does the laser emit?

Accepted Answer

A)  $1.58 \times 10^{3}$ 
B)  $6.24 \times 1015$ 
C)  $3.19 \times 10^{15}$ 
D)  $1.60 \times 1019$ 
E)  $1.06 \times 1010$ 
A)  $1.58 \times 10^{3}$ 
B)  $6.24 \times 1015$ 
C)  $3.19 \times 10^{15}$ 
D)  $1.60 \times 1019$ 
E)  $1.06 \times 1010$

Question 11

The mathematician Johann Jakob Balmer found that the formula $1 / \lambda=\mathrm{R}\left(1 / \mathrm{n}_{\mathrm{f}}^{2}-1 / \mathrm{n}_{\mathrm{i}}^{2}\right)$ works for the hydrogen emission lines in the visible range, with what value of $n_{\mathrm{f}}$ ?

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  4 
E)  5 
A)  1 
B)  2 
C)  3 
D)  4 
E)  5

Question 12

What is the smallest energy photon that a hydrogen atom in the ground state can absorb?

Accepted Answer

A)  $3.40 \mathrm{eV}$ 
B)  any energy 
C)  $1.90 \mathrm{eV}$ 
D)  $13.6 \mathrm{eV}$ 
E)  $10.2 \mathrm{eV}$ 
A)  $3.40 \mathrm{eV}$ 
B)  any energy 
C)  $1.90 \mathrm{eV}$ 
D)  $13.6 \mathrm{eV}$ 
E)  $10.2 \mathrm{eV}$

Question 13

If a hydrogen atom in the ground state absorbs a $20.0 \mathrm{eV}$ photon, what kinetic energy of the electron results?

Accepted Answer

A)  $33.6 \mathrm{eV}$ 
B)  this cannot happen 
C)  $13.6 \mathrm{eV}$ 
D)  $6.4 \mathrm{eV}$ 
E)  $20.0 \mathrm{eV}$ 
A)  $33.6 \mathrm{eV}$ 
B)  this cannot happen 
C)  $13.6 \mathrm{eV}$ 
D)  $6.4 \mathrm{eV}$ 
E)  $20.0 \mathrm{eV}$

Question 14

What is the highest energy of a photon in the Balmer series?

Accepted Answer

A)  $0.94 \mathrm{eV}$ 
B)  $3.40 \mathrm{eV}$ 
C)  $1.89 \mathrm{eV}$ 
D)  $1.51 \mathrm{eV}$ 
E)  $0.66 \mathrm{eV}$ 
A)  $0.94 \mathrm{eV}$ 
B)  $3.40 \mathrm{eV}$ 
C)  $1.89 \mathrm{eV}$ 
D)  $1.51 \mathrm{eV}$ 
E)  $0.66 \mathrm{eV}$

Question 15

For the ion $\mathrm{He}^{+}$, what is the energy of the ground state?

Accepted Answer

A)  $-13.6 \mathrm{eV}$ 
B)  $-27.2 \mathrm{eV}$ 
C)  $-3.40 \mathrm{eV}$ 
D)  $-6.80 \mathrm{eV}$ 
E)  $-54.4 \mathrm{eV}$ 
A)  $-13.6 \mathrm{eV}$ 
B)  $-27.2 \mathrm{eV}$ 
C)  $-3.40 \mathrm{eV}$ 
D)  $-6.80 \mathrm{eV}$ 
E)  $-54.4 \mathrm{eV}$

Question 16

Photons of energy $4.20 \mathrm{eV}$ bombard a surface, which emits photoelectrons with kinetic energies from 0 to $1.80 \mathrm{eV}$. What is the threshold frequency for this surface?

Accepted Answer

A)  $1.35 \times 1014 \mathrm{~Hz}$ 
B)  $5.80 \times 10^{14} \mathrm{~Hz}$ 
C)  $7.74 \times 1015 \mathrm{~Hz}$ 
D)  $7.74 \times 1014 \mathrm{~Hz}$ 
E)  $1.35 \times 10^{15} \mathrm{~Hz}$ 
A)  $1.35 \times 1014 \mathrm{~Hz}$ 
B)  $5.80 \times 10^{14} \mathrm{~Hz}$ 
C)  $7.74 \times 1015 \mathrm{~Hz}$ 
D)  $7.74 \times 1014 \mathrm{~Hz}$ 
E)  $1.35 \times 10^{15} \mathrm{~Hz}$

Question 17

A  photon of frequency $6.40 \times 1014 \mathrm{~Hz}$ has what energy?

Accepted Answer

A)  $2.65 \mathrm{eV}$ 
B)  $3.17 \mathrm{eV}$ 
C)  $1.93 \mathrm{eV}$ 
D)  $1.26 \mathrm{eV}$ 
E)  $2.11 \mathrm{eV}$ 
A)  $2.65 \mathrm{eV}$ 
B)  $3.17 \mathrm{eV}$ 
C)  $1.93 \mathrm{eV}$ 
D)  $1.26 \mathrm{eV}$ 
E)  $2.11 \mathrm{eV}$

Question 18

What is the maximum wavelength photon that can produce a pair of tau particles (mass $1.777 \mathrm{GeV} / \mathrm{c}^{2}$ ) by pair production?

Accepted Answer

A)  $6.98 \times 10^{-7} \mathrm{~nm}$ 
B)  $1.74 \times 10^{-7} \mathrm{~nm}$ 
C)  $8.72 \times 10^{-8} \mathrm{~nm}$ 
D)  $3.49 \times 10^{-7} \mathrm{~nm}$ 
A)  $6.98 \times 10^{-7} \mathrm{~nm}$ 
B)  $1.74 \times 10^{-7} \mathrm{~nm}$ 
C)  $8.72 \times 10^{-8} \mathrm{~nm}$ 
D)  $3.49 \times 10^{-7} \mathrm{~nm}$

Exam 27: Early Quantum Physics and the Photon

An x-ray tube produces photons with wavelengths down to a minimum of 0.0827 nm0.0827 \mathrm{~nm}0.0827 nm . What is the accelerating potential for this tube?

What is the radius of the ground state of He+\mathrm{He}^{+}He+ ?

According to the Bohr model, what is the kinetic energy of an electron in the ground state of hydrogen?

An x\mathrm{x}x -ray photon of energy 3.20×103.20 \times 103.20×10 -15 J has what wavelength?

According to the Bohr model, what is the potential energy of an electron in the ground state of the hydrogen atom?

In a Compton scattering experiment, the scattered photon has a wavelength of 6.55pm6.55 \mathrm{pm}6.55pm . If the scattering angle is 50∘50^{\circ}50∘ , what was the wavelength of the incident photon?

An xxx -ray photon with wavelength 15.0pm15.0 \mathrm{pm}15.0pm is scattered at 84.0∘84.0^{\circ}84.0∘ by an electron. What is the wavelength of the scattered photon?

The work function of a surface is 6.53×10−19 J6.53 \times 10^{-19} \mathrm{~J}6.53×10−19 J . What is this quantity in eV\mathrm{eV}eV ?

An xxx -ray photon with wavelength 15.0pm15.0 \mathrm{pm}15.0pm is scattered through 84.0∘84.0^{\circ}84.0∘ by an electron. What is the resulting kinetic energy of the electron?

A 1.00 mW1.00 \mathrm{~mW}1.00 mW laser produces photons of wavelength 633 nm633 \mathrm{~nm}633 nm . How many photons per second does the laser emit?

What is the smallest energy photon that a hydrogen atom in the ground state can absorb?

If a hydrogen atom in the ground state absorbs a 20.0eV20.0 \mathrm{eV}20.0eV photon, what kinetic energy of the electron results?

What is the highest energy of a photon in the Balmer series?

For the ion He+\mathrm{He}^{+}He+ , what is the energy of the ground state?

Photons of energy 4.20eV4.20 \mathrm{eV}4.20eV bombard a surface, which emits photoelectrons with kinetic energies from 0 to 1.80eV1.80 \mathrm{eV}1.80eV . What is the threshold frequency for this surface?

A photon of frequency 6.40×1014 Hz6.40 \times 1014 \mathrm{~Hz}6.40×1014 Hz has what energy?

What is the maximum wavelength photon that can produce a pair of tau particles (mass 1.777GeV/c21.777 \mathrm{GeV} / \mathrm{c}^{2}1.777GeV/c2 ) by pair production?

Introduction

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Motion in a Plane

Force and Newtons Laws of Motion

Circular Motion

Conservation of Energy

Linear Momentum

Torque and Angular Momentum

Fluids

Elasticity and Oscillations

Waves

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Temperature and the Ideal Gas

Heat

Thermodynamics

Electric Forces and Fields

Electric Potential

Electric Current and Circuits

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Electromagnetic Induction

Alternating Current

Electromagnetic Waves

Reflection and Refraction of Light

Optical Instruments

Interference and Diffraction

Relativity

Quantum Physics

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Particle Physics

Filters

An x-ray tube produces photons with wavelengths down to a minimum of $0.0827 \mathrm{~nm}$ . What is the accelerating potential for this tube?

What is the radius of the ground state of $\mathrm{He}^{+}$ ?

An $\mathrm{x}$ -ray photon of energy $3.20 \times 10$ -15 J has what wavelength?

In a Compton scattering experiment, the scattered photon has a wavelength of $6.55 \mathrm{pm}$ . If the scattering angle is $50^{\circ}$ , what was the wavelength of the incident photon?

An $x$ -ray photon with wavelength $15.0 \mathrm{pm}$ is scattered at $84.0^{\circ}$ by an electron. What is the wavelength of the scattered photon?

The work function of a surface is $6.53 \times 10^{-19} \mathrm{~J}$ . What is this quantity in $\mathrm{eV}$ ?

An $x$ -ray photon with wavelength $15.0 \mathrm{pm}$ is scattered through $84.0^{\circ}$ by an electron. What is the resulting kinetic energy of the electron?

A $1.00 \mathrm{~mW}$ laser produces photons of wavelength $633 \mathrm{~nm}$ . How many photons per second does the laser emit?

If a hydrogen atom in the ground state absorbs a $20.0 \mathrm{eV}$ photon, what kinetic energy of the electron results?

For the ion $\mathrm{He}^{+}$ , what is the energy of the ground state?

Photons of energy $4.20 \mathrm{eV}$ bombard a surface, which emits photoelectrons with kinetic energies from 0 to $1.80 \mathrm{eV}$ . What is the threshold frequency for this surface?

A photon of frequency $6.40 \times 1014 \mathrm{~Hz}$ has what energy?

What is the maximum wavelength photon that can produce a pair of tau particles (mass $1.777 \mathrm{GeV} / \mathrm{c}^{2}$ ) by pair production?