Q: A sodium lamp emits yellow light with a wavelength of $589\ \mathrm{nm}$. What is the frequency of this light? (Speed of light $c = 3.00 \times 10^8\ \mathrm{m/s}$)

$5.09 \times 10^{14}\ \mathrm{Hz}$

Q: A metal surface requires a minimum energy (work function) of $4.50 \times 10^{-19}\ \mathrm{J}$ to emit electrons. What is the minimum frequency of light required to cause the photoelectric effect? ($h = 6.626 \times 10^{-34}\ \mathrm{J\cdot s}$)

$6.79 \times 10^{14}\ \mathrm{Hz}$

Q: A photon of blue light has a wavelength of $450\ \mathrm{nm}$. Calculate the energy of one photon. ($h = 6.626 \times 10^{-34}\ \mathrm{J\cdot s}$, $c = 3.00 \times 10^8\ \mathrm{m/s}$)

$4.42 \times 10^{-19}\ \mathrm{J}$

Question 1

Which of the following statements best describes the wave-particle duality of electrons?

Accepted Answer

Electrons exhibit both particle-like and wave-like properties depending on the experiment.

Question 2

A sodium lamp emits yellow light with a wavelength of $589\ \mathrm{nm}$. What is the frequency of this light? (Speed of light $c = 3.00 	imes 10^8\ \mathrm{m/s}$)

Accepted Answer

$5.09 	imes 10^{14}\ \mathrm{Hz}$

Question 3

Which of the following electromagnetic waves has the highest energy per photon?

Accepted Answer

Gamma rays

Question 4

The energy of a photon is given by $E = hv$. If the frequency of the photon is doubled, what happens to its energy?

Accepted Answer

The energy is doubled.

Question 5

A metal surface requires a minimum energy (work function) of $4.50 	imes 10^{-19}\ \mathrm{J}$ to emit electrons. What is the minimum frequency of light required to cause the photoelectric effect? ($h = 6.626 	imes 10^{-34}\ \mathrm{J\cdot s}$)

Accepted Answer

$6.79 	imes 10^{14}\ \mathrm{Hz}$

Question 6

Which property of electromagnetic waves determines the color of visible light?

Accepted Answer

Wavelength

Question 7

A radio station broadcasts at a frequency of $101.1\ \mathrm{MHz}$. What is the wavelength of this radiation? ($c = 3.00 	imes 10^8\ \mathrm{m/s}$)

Accepted Answer

$2.97\ \mathrm{m}$

Question 8

Which of the following best explains why increasing the intensity of light below the threshold frequency does NOT cause electrons to be emitted in the photoelectric effect?

Accepted Answer

The energy of each photon is too low to overcome the work function, regardless of the number of photons.

Question 9

Which of the following statements about the electromagnetic spectrum is correct?

Accepted Answer

Gamma rays have the shortest wavelength and highest frequency.

Question 10

A nitrogen gas laser emits light at $337\ \mathrm{nm}$. If a pulse contains $3.83\ \mathrm{mJ}$ of energy, how many photons are in the pulse? ($h = 6.626 	imes 10^{-34}\ \mathrm{J\cdot s}$, $c = 3.00 	imes 10^8\ \mathrm{m/s}$)

Accepted Answer

$6.48 	imes 10^{15}$

Question 11

Which of the following is NOT a property of electromagnetic radiation?

Accepted Answer

It requires a medium to propagate.

Question 12

If the amplitude of a light wave is increased while keeping its wavelength constant, what happens to the light?

Accepted Answer

Its intensity or brightness increases.

Question 13

Which equation correctly relates the speed, wavelength, and frequency of electromagnetic radiation?

Accepted Answer

$c = \lambda v$

Question 14

A photon of blue light has a wavelength of $450\ \mathrm{nm}$. Calculate the energy of one photon. ($h = 6.626 	imes 10^{-34}\ \mathrm{J\cdot s}$, $c = 3.00 	imes 10^8\ \mathrm{m/s}$)

Accepted Answer

$4.42 	imes 10^{-19}\ \mathrm{J}$

Question 15

Which phenomenon provides evidence for the wave nature of light?

Accepted Answer

Diffraction and interference patterns

Question 16

Which of the following best describes constructive interference?

Accepted Answer

Two waves of equal amplitude and in phase combine to produce a wave with twice the amplitude.

Question 17

Which of the following statements about the photoelectric effect is FALSE?

Accepted Answer

Increasing the intensity of light below the threshold frequency will emit electrons.

Question 18

Which color of visible light has the shortest wavelength and highest energy?

Accepted Answer

Violet

Question 19

A photon has an energy of $3.0 	imes 10^{-19}\ \mathrm{J}$. What is its frequency? ($h = 6.626 	imes 10^{-34}\ \mathrm{J\cdot s}$)

Accepted Answer

$4.53 	imes 10^{14}\ \mathrm{Hz}$

Question 20

Which of the following best describes the relationship between wavelength and frequency for electromagnetic radiation?

Accepted Answer

As wavelength increases, frequency decreases.

Introduction to Quantum Theory and the Properties of Light

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