What is the kinetic energy of the emitted electrons when cesium is exposed to UV rays of frequency 1.90×1015Hz? Express your answer in joules to three significant figures.

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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What is the kinetic energy of the emitted electrons when cesium is exposed to UV rays of frequency 1.90×1015Hz?
Express your answer in joules to three significant figures.
Title: Calculating the Kinetic Energy of Emitted Electrons

**Problem Statement:**

What is the kinetic energy of the emitted electrons when cesium is exposed to UV rays of frequency \(1.90 \times 10^{15} \, \text{Hz}\)?

Express your answer in joules to three significant figures.

**Interface Explanation:**

- A text box is provided for inputting the kinetic energy \( KE \) using a scientific calculator interface.
- The interface includes buttons for common mathematical symbols and functions, such as exponents, fractions, roots, and vectors.
- Current input: \( KE = 9.24 \times 10^{-19} \, \text{J} \)

**Feedback on Submission:**

- A message indicates the answer is "Incorrect," and the user is prompted to try again with four attempts remaining.

**Interactive Features:**

- "Submit" button to enter the answer.
- "View Available Hint(s)" for additional guidance.
- "Previous Answers" to review past submissions.

**Note:** Ensure the kinetic energy is calculated accurately using Einstein's photoelectric equation and Planck’s constant for correctness.
Transcribed Image Text:Title: Calculating the Kinetic Energy of Emitted Electrons **Problem Statement:** What is the kinetic energy of the emitted electrons when cesium is exposed to UV rays of frequency \(1.90 \times 10^{15} \, \text{Hz}\)? Express your answer in joules to three significant figures. **Interface Explanation:** - A text box is provided for inputting the kinetic energy \( KE \) using a scientific calculator interface. - The interface includes buttons for common mathematical symbols and functions, such as exponents, fractions, roots, and vectors. - Current input: \( KE = 9.24 \times 10^{-19} \, \text{J} \) **Feedback on Submission:** - A message indicates the answer is "Incorrect," and the user is prompted to try again with four attempts remaining. **Interactive Features:** - "Submit" button to enter the answer. - "View Available Hint(s)" for additional guidance. - "Previous Answers" to review past submissions. **Note:** Ensure the kinetic energy is calculated accurately using Einstein's photoelectric equation and Planck’s constant for correctness.
**Photoelectric Effect: Understanding Electron Emission**

Electrons are emitted from the surface of a metal when it's exposed to light. This phenomenon is known as the **photoelectric effect**. Each metal has a specific threshold frequency of light. Below this threshold, no electron emission occurs. At the threshold frequency, electrons are emitted. If the frequency exceeds the threshold, the excess energy is transferred to the emitted electrons.

### The Photoelectric Equation

The mathematical expression for this phenomenon is:

\[ KE = h\nu - h\nu_0 \]

- \( KE \) is the kinetic energy of the emitted electron.
- \( h = 6.63 \times 10^{-34} \, \text{J} \cdot \text{s} \) is Planck's constant.
- \( \nu \) is the frequency of the incident light.
- \( \nu_0 \) is the threshold frequency of the metal.

Since energy of light \( E \) is given by \( E = h\nu \), the equation can also be expressed as:

\[ KE = E - \phi \]

where:

- \( E \) is the energy of the light.
- \( \phi \) is the binding energy of the electron in the metal.

Understanding these concepts is crucial for grasping how light interacts with matter at a quantum level.
Transcribed Image Text:**Photoelectric Effect: Understanding Electron Emission** Electrons are emitted from the surface of a metal when it's exposed to light. This phenomenon is known as the **photoelectric effect**. Each metal has a specific threshold frequency of light. Below this threshold, no electron emission occurs. At the threshold frequency, electrons are emitted. If the frequency exceeds the threshold, the excess energy is transferred to the emitted electrons. ### The Photoelectric Equation The mathematical expression for this phenomenon is: \[ KE = h\nu - h\nu_0 \] - \( KE \) is the kinetic energy of the emitted electron. - \( h = 6.63 \times 10^{-34} \, \text{J} \cdot \text{s} \) is Planck's constant. - \( \nu \) is the frequency of the incident light. - \( \nu_0 \) is the threshold frequency of the metal. Since energy of light \( E \) is given by \( E = h\nu \), the equation can also be expressed as: \[ KE = E - \phi \] where: - \( E \) is the energy of the light. - \( \phi \) is the binding energy of the electron in the metal. Understanding these concepts is crucial for grasping how light interacts with matter at a quantum level.
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