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2.90 x 10° nm · K Find the wavelength (in mm) of maximum intensity of the cosmic microwave background radiation observed today. Hint: Use Wien's law, Amay T mm What band of the electromagnetic spectrum is that in? (Examine the figure.) Visible light

2.90 x 10° nm · K Find the wavelength (in mm) of maximum intensity of the cosmic microwave background radiation observed today. Hint: Use Wien's law, Amay T mm What band of the electromagnetic spectrum is that in? (Examine the figure.) Visible light

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**Educational Webpage Content:** --- **Title: Understanding the Cosmic Microwave Background Radiation** **Description:** Explore the properties of the cosmic microwave background radiation (CMBR) and determine its position within the electromagnetic spectrum using Wien's law. **Content:** To find the wavelength (in mm) of the maximum intensity of the cosmic microwave background radiation observed today, you can use Wien's Law, given by the formula: \[ \lambda_{\text{max}} = \frac{2.90 \times 10^6 \, \text{nm} \cdot \text{K}}{T} \] **Question:** What band of the electromagnetic spectrum does this wavelength belong to? Refer to the diagram below and examine the figure. **Diagrams:** 1. **Electromagnetic Spectrum:** - The diagram shows the range of the electromagnetic spectrum with a focus on visible light divided into short wavelengths (violet, blue) and long wavelengths (red). - The spectrum is labeled from gamma rays (10^-12 meters) to AM radio waves (10^4 meters). - Visible light is highlighted from approximately 400 nm (violet) to 700 nm (red). 2. **Opacity of Earth's Atmosphere:** - This graph illustrates the opacity of Earth's atmosphere to different wavelengths. - The y-axis represents the opacity level, ranging from opaque to transparent. - Key "windows" such as the Visual window and Radio window indicate transparent areas within certain wavelength ranges. **Options:** Select the correct category for the cosmic microwave background radiation: - ○ Microwave - ○ Gamma Ray - ○ Ultraviolet **Conclusion:** Analyze the electromagnetic spectrum and determine which band the CMBR falls into based on its wavelength. This exercise will enhance your understanding of astrophysics and the Earth's atmospheric transmission. ---
Transcribed Image Text:**Educational Webpage Content:** --- **Title: Understanding the Cosmic Microwave Background Radiation** **Description:** Explore the properties of the cosmic microwave background radiation (CMBR) and determine its position within the electromagnetic spectrum using Wien's law. **Content:** To find the wavelength (in mm) of the maximum intensity of the cosmic microwave background radiation observed today, you can use Wien's Law, given by the formula: \[ \lambda_{\text{max}} = \frac{2.90 \times 10^6 \, \text{nm} \cdot \text{K}}{T} \] **Question:** What band of the electromagnetic spectrum does this wavelength belong to? Refer to the diagram below and examine the figure. **Diagrams:** 1. **Electromagnetic Spectrum:** - The diagram shows the range of the electromagnetic spectrum with a focus on visible light divided into short wavelengths (violet, blue) and long wavelengths (red). - The spectrum is labeled from gamma rays (10^-12 meters) to AM radio waves (10^4 meters). - Visible light is highlighted from approximately 400 nm (violet) to 700 nm (red). 2. **Opacity of Earth's Atmosphere:** - This graph illustrates the opacity of Earth's atmosphere to different wavelengths. - The y-axis represents the opacity level, ranging from opaque to transparent. - Key "windows" such as the Visual window and Radio window indicate transparent areas within certain wavelength ranges. **Options:** Select the correct category for the cosmic microwave background radiation: - ○ Microwave - ○ Gamma Ray - ○ Ultraviolet **Conclusion:** Analyze the electromagnetic spectrum and determine which band the CMBR falls into based on its wavelength. This exercise will enhance your understanding of astrophysics and the Earth's atmospheric transmission. ---
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