Question 1

What value of wavelength is associated with the Lyman series for n = 2? (RH = 1.097 * 107 m-1)

Accepted Answer

A) 8.2 *106 m 
B) 1.2 * 10-7 m 
C) 2.7 *106 m 
D) 3.6 * 10-7 m 
E) 8.8 * 10-7 m 
A) 8.2 *106 m 
B) 1.2 * 10-7 m 
C) 2.7 *106 m 
D) 3.6 * 10-7 m 
E) 8.8 * 10-7 m

Question 2

The number of photons per second passing a plane perpendicular to a collimated monochromatic (one frequency) beam of light transporting power P is directly proportional to:

Accepted Answer

A) the wavelength of the light. 
B) the frequency of the light. 
C) the power of the beam. 
D) increase the wavelength, frequency and power.. 
E) increase the wavelength and power but not the frequency. 
A) the wavelength of the light. 
B) the frequency of the light. 
C) the power of the beam. 
D) increase the wavelength, frequency and power.. 
E) increase the wavelength and power but not the frequency.

Question 3

In an experiment different wavelengths of light, all able to eject photoelectrons, shine on a freshly prepared (oxide-free) zinc surface.Which statement is true?

Accepted Answer

A) The number of photoelectrons emitted per second is independent of the intensity of the light for all the different wavelengths. 
B) The number of photoelectrons emitted per second is directly proportional to the frequency for all the different wavelengths. 
C) The maximum kinetic energy of the photoelectrons emitted is directly proportional to the frequency for each wavelength present. 
D) The maximum kinetic energy of the photoelectrons has a linear relationship with the frequency for each wavelength present. 
E) The maximum kinetic energy of the photoelectrons is proportional to the intensity of the light and independent of the frequency. 
A) The number of photoelectrons emitted per second is independent of the intensity of the light for all the different wavelengths. 
B) The number of photoelectrons emitted per second is directly proportional to the frequency for all the different wavelengths. 
C) The maximum kinetic energy of the photoelectrons emitted is directly proportional to the frequency for each wavelength present. 
D) The maximum kinetic energy of the photoelectrons has a linear relationship with the frequency for each wavelength present. 
E) The maximum kinetic energy of the photoelectrons is proportional to the intensity of the light and independent of the frequency.

Question 4

A quantum particle:

Accepted Answer

A) can be localised in space. 
B) can be represented by an infinitely long wave having a single frequency. 
C) can be represented by a wave packet. 
D) travels at the phase speed of the infinitely long wave having the highest frequency. 
E) has the highest probability of being present in those regions of space where its component waves interfere destructively. 
A) can be localised in space. 
B) can be represented by an infinitely long wave having a single frequency. 
C) can be represented by a wave packet. 
D) travels at the phase speed of the infinitely long wave having the highest frequency. 
E) has the highest probability of being present in those regions of space where its component waves interfere destructively.

Question 5

A photon whose wavelength is = 5.0 * 10-11 m is scattered straight backward.What is the wavelength of the scattered wave?

Accepted Answer

A) 5.0 *10-11 m 
B) 4.5 * 10-11 m 
C) 5.5 * 10-11 m 
D) 6.0 * 10-11 m 
E) 6.5 * 10-11 m 
A) 5.0 *10-11 m 
B) 4.5 * 10-11 m 
C) 5.5 * 10-11 m 
D) 6.0 * 10-11 m 
E) 6.5 * 10-11 m

Question 6

What is the maximum velocity (in km/s) of a photoelectron emitted from a surface whose work function is 5.0 eV when illuminated by a light whose wavelength is 200 nm?

Accepted Answer

A) 460 
B) 650 
C) 420 
D) 550 
E) 1 480 
A) 460 
B) 650 
C) 420 
D) 550 
E) 1 480

Question 7

The 'seeing ability' or resolution of radiation is determined by its wavelength.If an atom is approximately 10-10 m in diameter, how fast must an electron travel to have a wavelength smaller than the size of an atom?

Accepted Answer

The answer of The 'seeing ability' or resolution of radiation...

Question 8

A photon whose energy is 8.00 *10-15 J is scattered off an electron at a 90$\degree$ angle.What is the wavelength of the scattered wave?

Accepted Answer

A) 2.73 * 10-11 m 
B) 2.25 * 10-11 m 
C) 2.50 * 10-11 m 
D) 2.40 * 10-12 m 
E) 2.48 * 10-11 m 
A) 2.73 * 10-11 m 
B) 2.25 * 10-11 m 
C) 2.50 * 10-11 m 
D) 2.40 * 10-12 m 
E) 2.48 * 10-11 m

Question 9

The light intensity incident on a metallic surface with a work function of 3 eV produces photoelectrons with a maximum kinetic energy of 2 eV.The frequency of the light is doubled.Determine the maximum kinetic energy (in eV).

Accepted Answer

A) 3 
B) 2 
C)    
D) 4 
E) 7 
A) 3 
B) 2 
C)    
D) 4 
E) 7

Question 10

Assume electrons are accelerated through a potential difference of 25 000 V inside a TV picture tube.What is the minimum wavelength that could be produced when the electrons strike the phosphor? (1 Å = 10-10 m)

Accepted Answer

A) 0.50 Å 
B) 1.0 Å 
C) 10 Å 
D) 100 Å 
E) 0.25 Å 
A) 0.50 Å 
B) 1.0 Å 
C) 10 Å 
D) 100 Å 
E) 0.25 Å

Question 11

A neutron has a mass of 1.67 * 10-27 kg.Its de Broglie wavelength is 1.4 * 10-10 m.What temperature would it correspond to if we had a monatomic gas having the same average kinetic energy (in$\degree$C)?

Accepted Answer

A) 273 
B) 25 
C) 36 
D) 309 
E) 51 
A) 273 
B) 25 
C) 36 
D) 309 
E) 51

Question 12

How much energy is in an 89.7 MHz photon of FM-radiation?

Accepted Answer

A) 2.2 *10-33 J 
B) 9.5 * 10-27 J 
C) 7.4 *10-42 J 
D) 5.9 * 10-26 J 
E) 3.7 * 10-25 J 
A) 2.2 *10-33 J 
B) 9.5 * 10-27 J 
C) 7.4 *10-42 J 
D) 5.9 * 10-26 J 
E) 3.7 * 10-25 J

Question 13

A neutron has a mass of 1.67 *10-27 kg.Its de Broglie wavelength is 1.4 * 10-10 m.What is its kinetic energy (in eV)?

Accepted Answer

A) 4 
B) 0.4 
C) 0.04 
D) 40 
E) 0.08 
A) 4 
B) 0.4 
C) 0.04 
D) 40 
E) 0.08

Question 14

A stopping potential of 3.2 V is needed for radiation whose wavelength is 200 nm.What is the work function (in eV) of the material?

Accepted Answer

A) 4.0 
B) 3.0 
C) 5.0 
D) 6.0 
E) 2.0 
A) 4.0 
B) 3.0 
C) 5.0 
D) 6.0 
E) 2.0

Question 15

A helium-neon laser emits red light having a wavelength of 6.4 *10-7 m and a power of 0.5 mW.How many photons are emitted each second?

Accepted Answer

A) 6.4*1038 
B) 1.6 *1021 
C) 3.2 * 1025 
D) 2.6* 1018 
E) 1.6 * 1015 
A) 6.4*1038 
B) 1.6 *1021 
C) 3.2 * 1025 
D) 2.6* 1018 
E) 1.6 * 1015

Question 16

A pendulum located where has a 0.500 kg bob and a 4.00 Hz oscillation frequency.If it is released from a point 0.150 m above the lowest point it reaches, the number of quanta in this oscillation is:

Accepted Answer

A) 2.77 * 1032. 
B) 1.11 * 1033. 
C) 4.87 * 10-34. 
D) 0.184. 
E) 4.00. 
A) 2.77 * 1032. 
B) 1.11 * 1033. 
C) 4.87 * 10-34. 
D) 0.184. 
E) 4.00.

Question 17

How much energy is in a 63 kHz photon of AM-radiation?

Accepted Answer

A) 1.0 *10-38 J 
B) 6.6 * 10-30 J 
C) 4.2 * 10-29 J 
D) 3.1 *10-30 J 
E) 13 *10-29 J 
A) 1.0 *10-38 J 
B) 6.6 * 10-30 J 
C) 4.2 * 10-29 J 
D) 3.1 *10-30 J 
E) 13 *10-29 J

Question 18

Microscopes are inherently limited by the wavelength of the light used.How much smaller (in order of magnitude) can we 'see' using an electron microscope whose electrons have been accelerated through a potential difference of 50 000 V than using red light (500 nm)?

Accepted Answer

A) 3 
B) 4 
C) 5 
D) 6 
E) 14 
A) 3 
B) 4 
C) 5 
D) 6 
E) 14

Question 19

On a bright and sunny day, the intensity of solar radiation on the Earth's surface is 1000 W/m2.If the average wavelength of the sunlight is 500 nm, how many photons are incident on a square metre of the Earth's surface per second?

Accepted Answer

2.51 * 102

Question 20

The light intensity incident on a metallic surface produces photoelectrons with a maximum kinetic energy of 2 eV.The light intensity is doubled.Determine the maximum kinetic energy of the photoelectrons (in eV).

Accepted Answer

A) 4 
B) 2 
C)    
D) 3 
E) 16 
A) 4 
B) 2 
C)    
D) 3 
E) 16

Exam 17: Quantisation and Wave-Particle Duality

What value of wavelength is associated with the Lyman series for n = 2? (RH = 1.097 * 107 m-1)

The number of photons per second passing a plane perpendicular to a collimated monochromatic (one frequency) beam of light transporting power P is directly proportional to:

In an experiment different wavelengths of light, all able to eject photoelectrons, shine on a freshly prepared (oxide-free) zinc surface.Which statement is true?

A quantum particle:

A photon whose wavelength is = 5.0 * 10-11 m is scattered straight backward.What is the wavelength of the scattered wave?

What is the maximum velocity (in km/s) of a photoelectron emitted from a surface whose work function is 5.0 eV when illuminated by a light whose wavelength is 200 nm?

The 'seeing ability' or resolution of radiation is determined by its wavelength.If an atom is approximately 10-10 m in diameter, how fast must an electron travel to have a wavelength smaller than the size of an atom?

A photon whose energy is 8.00 *10-15 J is scattered off an electron at a 90 °\degree° angle.What is the wavelength of the scattered wave?

The light intensity incident on a metallic surface with a work function of 3 eV produces photoelectrons with a maximum kinetic energy of 2 eV.The frequency of the light is doubled.Determine the maximum kinetic energy (in eV).

Assume electrons are accelerated through a potential difference of 25 000 V inside a TV picture tube.What is the minimum wavelength that could be produced when the electrons strike the phosphor? (1 Å = 10-10 m)

A neutron has a mass of 1.67 * 10-27 kg.Its de Broglie wavelength is 1.4 * 10-10 m.What temperature would it correspond to if we had a monatomic gas having the same average kinetic energy (in °\degree° C)?

How much energy is in an 89.7 MHz photon of FM-radiation?

A neutron has a mass of 1.67 *10-27 kg.Its de Broglie wavelength is 1.4 * 10-10 m.What is its kinetic energy (in eV)?

A stopping potential of 3.2 V is needed for radiation whose wavelength is 200 nm.What is the work function (in eV) of the material?

A helium-neon laser emits red light having a wavelength of 6.4 *10-7 m and a power of 0.5 mW.How many photons are emitted each second?

A pendulum located where has a 0.500 kg bob and a 4.00 Hz oscillation frequency.If it is released from a point 0.150 m above the lowest point it reaches, the number of quanta in this oscillation is:

How much energy is in a 63 kHz photon of AM-radiation?

Microscopes are inherently limited by the wavelength of the light used.How much smaller (in order of magnitude) can we 'see' using an electron microscope whose electrons have been accelerated through a potential difference of 50 000 V than using red light (500 nm)?

On a bright and sunny day, the intensity of solar radiation on the Earth's surface is 1000 W/m2.If the average wavelength of the sunlight is 500 nm, how many photons are incident on a square metre of the Earth's surface per second?

The light intensity incident on a metallic surface produces photoelectrons with a maximum kinetic energy of 2 eV.The light intensity is doubled.Determine the maximum kinetic energy of the photoelectrons (in eV).

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A photon whose energy is 8.00 *10-15 J is scattered off an electron at a 90 $\degree$ angle.What is the wavelength of the scattered wave?

A neutron has a mass of 1.67 * 10-27 kg.Its de Broglie wavelength is 1.4 * 10-10 m.What temperature would it correspond to if we had a monatomic gas having the same average kinetic energy (in $\degree$ C)?

A neutron has a mass of 1.67 10-27 kg.Its de Broglie wavelength is 1.4 10-10 m.What is its kinetic energy (in eV)?