Question 1

An 84-kW AM radio station broadcasts at 1000 kHz.How many photons are emitted each second by the transmitting antenna? (h = 6.626 × 10^-34 J ∙ s)

Accepted Answer

The answer of An 84-kW AM radio station broadcasts at...

Question 2

A metal has a work function of 4.50 eV.Find the maximum kinetic energy of the photoelectrons if light of wavelength 250 nm shines on the metal.(1 eV = 1.60 × 10^-19 J,c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s)

Accepted Answer

The energy of a photon of light can be calculated using the formula:

E = hc/λ

where E is the energy of the photon, h is Planck's constant, c is the speed of light, and λ is the wavelength of light.

We can use this formula to calculate the energy of a photon of light with a wavelength of 250 nm:

E = (6.626 × 10^-34 J s) * (3.00 × 10^8 m/s) / (250 × 10^-9 m) = 7.95 × 10^-19 J

To calculate the maximum kinetic energy of the photoelectrons, we can use the formula:

KEmax = E - Φ

where KEmax is the maximum kinetic energy of the photoelectrons, E is the energy of the photon of light, and Φ is the work function of the metal.

Plugging in the values given in the question, we get:

KEmax = (7.95 × 10^-19 J) - (4.50 eV * 1.60 × 10^-19 J/eV) = 0.47 eV

Therefore, the maximum kinetic energy of the photoelectrons is 0.47 eV. The correct choice is C.

Question 3

The work function of a particular metal is What is the photoelectric cutoff (threshold)wavelength for this metal? (c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s)

Accepted Answer

The answer of The work function of a particular metal...

Question 4

What is the cutoff (threshold)frequency for a metal surface that has a work function of 5.42 eV? (1 eV = 1.60 × 10^-19 J,h = 6.626 × 10^-34 J ∙ s)

Accepted Answer

The answer of What is the cutoff (threshold)frequency for a...

Question 5

A photocathode whose work function is 2.9 eV is illuminated with white light that has a continuous wavelength band from 400 nm to 700 nm.What is the range of the wavelength band in this white light illumination for which photoelectrons are not produced? (c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s,1 eV = 1.60 × 10^-19 J)

Accepted Answer

The answer of A photocathode whose work function is 2.9...

Question 6

Gamma rays are photons with very high energy.How many visible-light photons with a wavelength of 500 nm would you need to equal the energy of a gamma-ray photon with energy

Accepted Answer

The answer of Gamma rays are photons with very high...

Question 7

If the work function of a metal surface is 2.20 eV,what frequency of incident light would give a maximum kinetic energy of 0.25 eV to the photoelectrons ejected from this surface? (1 eV = 1.60 × 10^-19 J,h = 6.626 × 10^-34 J ∙ s)

Accepted Answer

The energy of the incident light must be equal to the work function plus the maximum kinetic energy of the ejected photoelectrons. Using the equation E = hf, where E is the total energy (2.20 eV + 0.25 eV = 2.45 eV), and converting eV to joules, we find the frequency f = (2.45 eV * 1.60 × 10^-19 J/eV) / (6.626 × 10^-34 J∙s) = 5.92 × 10^14 Hz.

Question 8

A laser emits a pulse of light that lasts 10 ns.The light has a wavelength of 690 nm,and each pulse has an energy of 480 mJ.How many photons are emitted in each pulse? (c = 3.0 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s)

Accepted Answer

The answer of A laser emits a pulse of light...

Question 9

Light with a wavelength of 310 nm is incident on a metal that has a work function of 3.80 eV.What is the maximum kinetic energy that a photoelectron ejected in this process can have? (1 eV = 1.60 × 10^-19 J,c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s)

Accepted Answer

The answer of Light with a wavelength of 310 nm...

Question 10

A laser pulse of duration 25 ms has a total energy of 1.4 J.If the wavelength of this radiation is 567 nm,how many photons are emitted in one pulse? (c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s)

Accepted Answer

The answer of A laser pulse of duration 25 ms...

Question 11

What is the longest wavelength of electromagnetic radiation that will eject photoelectrons from sodium metal for which the work function is 2.28 eV? (c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s,1 eV = 1.60 × 10^-¹⁹ J)

Accepted Answer

The answer of What is the longest wavelength of electromagnetic...

Question 12

For what wavelength does a 100-mW laser beam deliver 1.6 × 10¹⁷ photons in one second? (c = 3.0 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s)

Accepted Answer

The energy of one photon is given by E = hc/λ. The total energy delivered by the laser is 100 mW = 0.1 J/s. The number of photons is 1.6 × 10^17, so the energy per photon is 0.1 J / 1.6 × 10^17 photons = 6.25 × 10^-19 J/photon. Using E = hc/λ, we solve for λ: λ = hc/E = (6.626 × 10^-34 J∙s)(3.0 × 10^8 m/s) / 6.25 × 10^-19 J = 3.18 × 10^-7 m = 318 nm, which is closest to 320 nm.

Question 13

What is the longest wavelength of light that can cause photoelectron emission from a metal that has a work function of 2.20 eV? (1 eV = 1.60 × 10^-19 J,c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s)

Accepted Answer

The wavelength can be found using the equation $ \lambda = \frac{hc}{E} $, where $ h $ is Planck's constant, $ c $ is the speed of light, and $ E $ is the energy in joules. First, convert the work function from eV to joules: $ 2.20 \, \text{eV} = 2.20 \times 1.60 \times 10^{-19} \, \text{J} $. Then, $ \lambda = \frac{6.626 \times 10^{-34} \times 3.00 \times 10^{8}}{2.20 \times 1.60 \times 10^{-19}} $, which calculates to approximately $ 5.65 \times 10^{-7} \, \text{m} $ or 565 nm.

Question 14

Gamma rays are photons with very high energy.What is the wavelength of a gamma-ray photon with energy 7.7 × 10^-13 J? (c = 3.0 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s)

Accepted Answer

The wavelength λ can be calculated using the formula λ = hc/E. Substituting the given values, λ = (6.626 × 10^-34 J∙s * 3.0 × 10^8 m/s) / (7.7 × 10^-13 J) = 2.6 × 10^-13 m.

Question 15

When a metal is illuminated by light,photoelectrons are observed provided that the wavelength of the light is less than 520 nm.What is the metal's work function? (c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s,1 eV = 1.60 × 10^-19 J)

Accepted Answer

The energy of a photon is given by E = hc/λ, where h is Planck's constant, c is the speed of light, and λ is the wavelength. The work function is the minimum energy required to remove an electron from a metal. If the energy of the photon is greater than or equal to the work function, then an electron will be emitted. In this case, the wavelength of the light is 520 nm, which corresponds to an energy of 2.4 eV. Therefore, the work function of the metal must be less than 2.4 eV. The only choice that is less than 2.4 eV is A, 2.4 eV.

Question 16

A helium-neon laser emits light at 632.8 nm.If the laser emits Photons/second,what is its power output in mW? (c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s)

Accepted Answer

The answer of A helium-neon laser emits light at 632.8...

Question 17

A beam of light with a frequency range from 3.01 × 10¹⁴ Hz to 6.10 × 10¹⁴ Hz is incident on a metal surface.If the work function of the metal surface is 2.20 eV,what is the maximum kinetic energy of photoelectrons ejected from this surface? (h = 6.626 × 10^-34 J ∙ s,1 eV = 1.60 × 10^-19 J)

Accepted Answer

The answer of A beam of light with a frequency...

Question 18

The work function of a certain metal is 1.90 eV.What is the longest wavelength of light that can cause photoelectron emission from this metal? (1 eV = 1.60 × 10^-19 J,c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s)

Accepted Answer

The answer of The work function of a certain metal...

Question 19

When it is struck by 240-nm photons,a metal ejects electrons with a maximum kinetic energy of What is the work function of this material? (c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s,1 eV = 16.0 × 10^-19 J)

Accepted Answer

The answer of When it is struck by 240-nm photons,a...

Question 20

Light with a frequency of 8.70 × 10¹⁴ Hz is incident on a metal that has a work function of 2.80 eV.What is the maximum kinetic energy that a photoelectron ejected in this process can have? (1 eV = 1.60 × 10^-19 J,h = 6.626 × 10^-34 J ∙ s)

Accepted Answer

The answer of Light with a frequency of 8.70 ×...

Quiz 30: Quantum Physics

An 84-kW AM radio station broadcasts at 1000 kHz.How many photons are emitted each second by the transmitting antenna? (h = 6.626 × 10^-34 J ∙ s)

A metal has a work function of 4.50 eV.Find the maximum kinetic energy of the photoelectrons if light of wavelength 250 nm shines on the metal.(1 eV = 1.60 × 10^-19 J,c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s)

The work function of a particular metal is What is the photoelectric cutoff (threshold) wavelength for this metal? (c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s)

What is the cutoff (threshold) frequency for a metal surface that has a work function of 5.42 eV? (1 eV = 1.60 × 10^-19 J,h = 6.626 × 10^-34 J ∙ s)

Gamma rays are photons with very high energy.How many visible-light photons with a wavelength of 500 nm would you need to equal the energy of a gamma-ray photon with energy

If the work function of a metal surface is 2.20 eV,what frequency of incident light would give a maximum kinetic energy of 0.25 eV to the photoelectrons ejected from this surface? (1 eV = 1.60 × 10^-19 J,h = 6.626 × 10^-34 J ∙ s)

A laser emits a pulse of light that lasts 10 ns.The light has a wavelength of 690 nm,and each pulse has an energy of 480 mJ.How many photons are emitted in each pulse? (c = 3.0 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s)

Light with a wavelength of 310 nm is incident on a metal that has a work function of 3.80 eV.What is the maximum kinetic energy that a photoelectron ejected in this process can have? (1 eV = 1.60 × 10^-19 J,c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s)

A laser pulse of duration 25 ms has a total energy of 1.4 J.If the wavelength of this radiation is 567 nm,how many photons are emitted in one pulse? (c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s)

What is the longest wavelength of electromagnetic radiation that will eject photoelectrons from sodium metal for which the work function is 2.28 eV? (c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s,1 eV = 1.60 × 10^-¹⁹ J)

For what wavelength does a 100-mW laser beam deliver 1.6 × 10¹⁷ photons in one second? (c = 3.0 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s)

What is the longest wavelength of light that can cause photoelectron emission from a metal that has a work function of 2.20 eV? (1 eV = 1.60 × 10^-19 J,c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s)

Gamma rays are photons with very high energy.What is the wavelength of a gamma-ray photon with energy 7.7 × 10^-13 J? (c = 3.0 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s)

When a metal is illuminated by light,photoelectrons are observed provided that the wavelength of the light is less than 520 nm.What is the metal's work function? (c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s,1 eV = 1.60 × 10^-19 J)

A helium-neon laser emits light at 632.8 nm.If the laser emits Photons/second,what is its power output in mW? (c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s)

The work function of a certain metal is 1.90 eV.What is the longest wavelength of light that can cause photoelectron emission from this metal? (1 eV = 1.60 × 10^-19 J,c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s)

When it is struck by 240-nm photons,a metal ejects electrons with a maximum kinetic energy of What is the work function of this material? (c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s,1 eV = 16.0 × 10^-19 J)

Light with a frequency of 8.70 × 10¹⁴ Hz is incident on a metal that has a work function of 2.80 eV.What is the maximum kinetic energy that a photoelectron ejected in this process can have? (1 eV = 1.60 × 10^-19 J,h = 6.626 × 10^-34 J ∙ s)

Quiz 30: Quantum Physics

An 84-kW AM radio station broadcasts at 1000 kHz.How many photons are emitted each second by the transmitting antenna? (h = 6.626 × 10-34 J ∙ s)

A metal has a work function of 4.50 eV.Find the maximum kinetic energy of the photoelectrons if light of wavelength 250 nm shines on the metal.(1 eV = 1.60 × 10-19 J,c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

The work function of a particular metal is What is the photoelectric cutoff (threshold) wavelength for this metal? (c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

What is the cutoff (threshold) frequency for a metal surface that has a work function of 5.42 eV? (1 eV = 1.60 × 10-19 J,h = 6.626 × 10-34 J ∙ s)

Gamma rays are photons with very high energy.How many visible-light photons with a wavelength of 500 nm would you need to equal the energy of a gamma-ray photon with energy

If the work function of a metal surface is 2.20 eV,what frequency of incident light would give a maximum kinetic energy of 0.25 eV to the photoelectrons ejected from this surface? (1 eV = 1.60 × 10-19 J,h = 6.626 × 10-34 J ∙ s)

A laser emits a pulse of light that lasts 10 ns.The light has a wavelength of 690 nm,and each pulse has an energy of 480 mJ.How many photons are emitted in each pulse? (c = 3.0 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

Light with a wavelength of 310 nm is incident on a metal that has a work function of 3.80 eV.What is the maximum kinetic energy that a photoelectron ejected in this process can have? (1 eV = 1.60 × 10-19 J,c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

A laser pulse of duration 25 ms has a total energy of 1.4 J.If the wavelength of this radiation is 567 nm,how many photons are emitted in one pulse? (c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

What is the longest wavelength of electromagnetic radiation that will eject photoelectrons from sodium metal for which the work function is 2.28 eV? (c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s,1 eV = 1.60 × 10-19 J)

For what wavelength does a 100-mW laser beam deliver 1.6 × 1017 photons in one second? (c = 3.0 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

What is the longest wavelength of light that can cause photoelectron emission from a metal that has a work function of 2.20 eV? (1 eV = 1.60 × 10-19 J,c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

Gamma rays are photons with very high energy.What is the wavelength of a gamma-ray photon with energy 7.7 × 10-13 J? (c = 3.0 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

When a metal is illuminated by light,photoelectrons are observed provided that the wavelength of the light is less than 520 nm.What is the metal's work function? (c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s,1 eV = 1.60 × 10-19 J)

A helium-neon laser emits light at 632.8 nm.If the laser emits Photons/second,what is its power output in mW? (c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

A beam of light with a frequency range from 3.01 × 1014 Hz to 6.10 × 1014 Hz is incident on a metal surface.If the work function of the metal surface is 2.20 eV,what is the maximum kinetic energy of photoelectrons ejected from this surface? (h = 6.626 × 10-34 J ∙ s,1 eV = 1.60 × 10-19 J)

The work function of a certain metal is 1.90 eV.What is the longest wavelength of light that can cause photoelectron emission from this metal? (1 eV = 1.60 × 10-19 J,c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

When it is struck by 240-nm photons,a metal ejects electrons with a maximum kinetic energy of What is the work function of this material? (c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s,1 eV = 16.0 × 10-19 J)

Light with a frequency of 8.70 × 1014 Hz is incident on a metal that has a work function of 2.80 eV.What is the maximum kinetic energy that a photoelectron ejected in this process can have? (1 eV = 1.60 × 10-19 J,h = 6.626 × 10-34 J ∙ s)

An 84-kW AM radio station broadcasts at 1000 kHz.How many photons are emitted each second by the transmitting antenna? (h = 6.626 × 10^-34 J ∙ s)

A metal has a work function of 4.50 eV.Find the maximum kinetic energy of the photoelectrons if light of wavelength 250 nm shines on the metal.(1 eV = 1.60 × 10^-19 J,c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s)

The work function of a particular metal is What is the photoelectric cutoff (threshold) wavelength for this metal? (c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s)

What is the cutoff (threshold) frequency for a metal surface that has a work function of 5.42 eV? (1 eV = 1.60 × 10^-19 J,h = 6.626 × 10^-34 J ∙ s)

If the work function of a metal surface is 2.20 eV,what frequency of incident light would give a maximum kinetic energy of 0.25 eV to the photoelectrons ejected from this surface? (1 eV = 1.60 × 10^-19 J,h = 6.626 × 10^-34 J ∙ s)

A laser emits a pulse of light that lasts 10 ns.The light has a wavelength of 690 nm,and each pulse has an energy of 480 mJ.How many photons are emitted in each pulse? (c = 3.0 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s)

Light with a wavelength of 310 nm is incident on a metal that has a work function of 3.80 eV.What is the maximum kinetic energy that a photoelectron ejected in this process can have? (1 eV = 1.60 × 10^-19 J,c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s)

A laser pulse of duration 25 ms has a total energy of 1.4 J.If the wavelength of this radiation is 567 nm,how many photons are emitted in one pulse? (c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s)

What is the longest wavelength of electromagnetic radiation that will eject photoelectrons from sodium metal for which the work function is 2.28 eV? (c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s,1 eV = 1.60 × 10^-¹⁹ J)

For what wavelength does a 100-mW laser beam deliver 1.6 × 10¹⁷ photons in one second? (c = 3.0 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s)

What is the longest wavelength of light that can cause photoelectron emission from a metal that has a work function of 2.20 eV? (1 eV = 1.60 × 10^-19 J,c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s)

Gamma rays are photons with very high energy.What is the wavelength of a gamma-ray photon with energy 7.7 × 10^-13 J? (c = 3.0 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s)

When a metal is illuminated by light,photoelectrons are observed provided that the wavelength of the light is less than 520 nm.What is the metal's work function? (c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s,1 eV = 1.60 × 10^-19 J)

A helium-neon laser emits light at 632.8 nm.If the laser emits Photons/second,what is its power output in mW? (c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s)

The work function of a certain metal is 1.90 eV.What is the longest wavelength of light that can cause photoelectron emission from this metal? (1 eV = 1.60 × 10^-19 J,c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s)

When it is struck by 240-nm photons,a metal ejects electrons with a maximum kinetic energy of What is the work function of this material? (c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s,1 eV = 16.0 × 10^-19 J)

Light with a frequency of 8.70 × 10¹⁴ Hz is incident on a metal that has a work function of 2.80 eV.What is the maximum kinetic energy that a photoelectron ejected in this process can have? (1 eV = 1.60 × 10^-19 J,h = 6.626 × 10^-34 J ∙ s)