Q: Which equation correctly expresses the photoelectric effect, relating the maximum kinetic energy of ejected electrons to the energy of incident photons and the work function of the material?

$$KE_{\text{max}} = hf - \phi$$

Q: If the work function of a surface is $$6.35\ \text{eV}$$, what is the cutoff frequency $$f_c$$ for the photoelectric effect?

$$1.53 \times 10$$^{15}$$\ \text{Hz}$$

Q: If the maximum kinetic energy of photoelectrons is $$2.50\ \text{eV}$$, what is their maximum speed?

$$9.37 \times 10^5$\ \text{m/s}$$

Q: If the cutoff frequency for a material is $$1.04 \times 10$$^{15}$$\ \text{Hz}$$, what is the cutoff wavelength?

$$2.88 \times 10$$^{-7}$$\ \text{m}$$

Q: If the cutoff wavelength for a material is $$196\ \text{nm}$$, what is the corresponding cutoff frequency?

$$1.53 \times 10$$^{15}$$\ \text{Hz}$$

Question 1

Which equation correctly expresses the photoelectric effect, relating the maximum kinetic energy of ejected electrons to the energy of incident photons and the work function of the material?

Accepted Answer

$$KE_{	ext{max}} = hf - \phi$$

Question 2

A metal has a work function $$\phi = 4.31\ 	ext{eV}. If $$photons with energy $$5.50\ 	ext{eV}$$ strike the surface, what is the maximum kinetic energy of the ejected electrons?

Accepted Answer

$$1.19\ 	ext{eV}$$

Question 3

Given a cutoff wavelength $$\lambda_c = 555\ 	ext{nm}$$ for a material, what is the corresponding work function $$\phi in $$electron volts?

Accepted Answer

$$2.24\ 	ext{eV}$$

Question 4

If the stopping potential for a photoelectric experiment is $$2.15\ 	ext{V}$$, what is the maximum kinetic energy of the photoelectrons in electron volts?

Accepted Answer

$$2.15\ 	ext{eV}$$

Question 5

A photon with wavelength $$400\ 	ext{nm}$$ strikes a surface. What is the energy of the photon in electron volts?

Accepted Answer

$$3.11\ 	ext{eV}$$

Question 6

If the work function of a surface is $$6.35\ 	ext{eV}$$, what is the cutoff frequency $$f_c$$ for the photoelectric effect?

Accepted Answer

$$1.53 	imes 10$$^{15}$$\ 	ext{Hz}$$

Question 7

What is the cutoff wavelength $$\lambda_c$$ for a material with work function $$\phi = 4.31\ 	ext{eV}$$?

Accepted Answer

$$288\ 	ext{nm}$$

Question 8

If the maximum kinetic energy of photoelectrons is $$2.50\ 	ext{eV}$$, what is their maximum speed?

Accepted Answer

$$9.37 	imes 10^5$\ 	ext{m/s}$$

Question 9

A surface has a work function $$\phi = 1.90\ 	ext{eV}$$ and is illuminated with light of wavelength $$546.1\ 	ext{nm}$$, producing photoelectrons with $$KE_{	ext{max}} = 0.376\ 	ext{eV}. $$What is the stopping potential?

Accepted Answer

$$0.216\ 	ext{V}$$

Question 10

If the work function of silver is $$4.73\ 	ext{eV}$$ and the maximum kinetic energy of photoelectrons is $$2.50\ 	ext{eV}$$, what is the wavelength of the incident light?

Accepted Answer

$$172\ 	ext{nm}$$

Question 11

Which of the following best describes the relationship between the maximum kinetic energy of photoelectrons and the frequency of incident light, as shown in the provided graphs?

Accepted Answer

The maximum kinetic energy increases linearly with frequency above the cutoff frequency.

Question 12

If the cutoff frequency for a material is $$1.04 	imes 10$$^{15}$$\ 	ext{Hz}$$, what is the cutoff wavelength?

Accepted Answer

$$2.88 	imes 10$$^{-7}$$\ 	ext{m}$$

Question 13

Which physical quantity is directly proportional to the stopping potential in a photoelectric experiment?

Accepted Answer

Maximum kinetic energy of the photoelectrons

Question 14

A photon with energy $$E_{	ext{photon}} = 3.11\ 	ext{eV}$$ strikes a surface with work function $$\phi = 2.24\ 	ext{eV}. $$What is the maximum kinetic energy of the ejected electrons?

Accepted Answer

$$0.87\ 	ext{eV}$$

Question 15

If the cutoff wavelength for a material is $$196\ 	ext{nm}$$, what is the corresponding cutoff frequency?

Accepted Answer

$$1.53 	imes 10$$^{15}$$\ 	ext{Hz}$$

Question 16

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

Accepted Answer

Electrons are ejected only if the photon energy exceeds the work function of the material.

Question 17

If the maximum kinetic energy of photoelectrons is $$KE_{	ext{max}} = 4.00 	imes 10$$^{-19}$$\ 	ext{J}$$, what is the corresponding value in electron volts?

Accepted Answer

$$2.50\ 	ext{eV}$$

Question 18

Which equation would you use to calculate the work function $$\phi if $$you know the cutoff wavelength $$\lambda_c$$?

Accepted Answer

$$\phi = \frac{hc}{\lambda_c}$$

Photoelectric Effect: Cutoff Wavelength, Frequency, and Kinetic Energy

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