Question

The photoelectric work function of a metal is the minimum energy required to eject an electron by shining light on the metal. The work function of calcium is $4.60 \times 10^{-19} \mathrm{~J}$. What is the longest wavelength of light (in nanometers) that can cause an electron to be ejected from calcium metal.

Name: Problem 101, Chapter 7: General Chemistry
Uploaded: 2021-06-22T19:52:30-08:00
Duration: 1 min 26 s
Channel: Lottie Adams
Description: The photoelectric work function of a metal is the minimum energy required to eject an electron by shining light on the metal. The work function of calcium is 4.60 ×10^-19 J. What is the longest wavelength of light (in nanometers) that can cause an electron to be ejected from calcium metal.

   The photoelectric work function of a metal is the minimum energy required to eject an electron by shining light on the metal. The work function of calcium is $4.60 \times 10^{-19} \mathrm{~J}$. What is the longest wavelength of light (in nanometers) that can cause an electron to be ejected from calcium metal.

General Chemistry

Darrell Ebbing,… 11th Edition

Chapter 7, Problem 101

Instant Answer

Solved by Expert Lottie Adams

06/22/2021

Step 1

We can rearrange this equation to solve for $\nu$, giving us $\nu = \frac{E}{h}$. Show more…

Show all steps

Thanks for your feedback!

The photoelectric work function of a metal is the minimum energy required to eject an electron by shining light on the metal. The work function of calcium is $4.60 \times 10^{-19} \mathrm{~J}$. What is the longest wavelength of light (in nanometers) that can cause an electron to be ejected from calcium metal.

Play audio

Feedback

Lottie Adams and 67 other subject Chemistry 101 educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Photoelectric Effect

The photoelectric effect is a phenomenon where electrons are emitted from a material, typically a metal, when it is exposed to light of sufficient energy. This effect provided early evidence for the quantum theory of light and illustrates that light can behave as both a wave and a particle.

Work Function

The work function is the minimum energy needed to remove an electron from the surface of a material. It is a characteristic property of that material and determines the threshold energy that photons must have to eject electrons via the photoelectric effect.

Photon Energy and Wavelength Relationship

The energy of a photon is related to its wavelength by the formula E = hc/?, where h is Planck’s constant and c is the speed of light. This relationship is essential for converting the work function, which is an energy, into the corresponding cutoff wavelength that can trigger the emission of electrons.

Please give Ace some feedback