Compare the energy of a photon of wavelength A1 = 3.2 µum with that of wavelength A2 = 0.152 nm. Express your answer numerically to two significant figures. Vo AEO E1 E

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Chapter1: Chemical Foundations
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The image illustrates the electromagnetic spectrum, which is the range of all types of electromagnetic radiation. The spectrum is divided into various regions based on wavelength, measured in meters (m), and frequency, measured in inverse seconds (s⁻¹).

**Regions of the Electromagnetic Spectrum:**

1. **Gamma Rays:**
   - Wavelength: \(10^{-11}\) to \(10^{-9}\) meters
   - Frequency: higher than \(10^{20}\) Hz

2. **X-Rays:**
   - Wavelength: \(10^{-10}\) to \(10^{-8}\) meters
   - Frequency: around \(10^{18}\) Hz

3. **Ultraviolet:**
   - Wavelength: slightly below \(10^{-7}\) meters
   - Frequencies range from approximately \(10^{16}\) to \(10^{15}\) Hz

4. **Visible Light:**
   - Wavelength: Approximately 400 nm (violet) to 750 nm (red)
   - The spectrum shows the range of colors from violet, blue, green, yellow, to red.

5. **Infrared:**
   - Wavelength: \(10^{-6}\) to \(10^{-3}\) meters
   - Frequency: around \(10^{13}\) Hz

6. **Microwaves:**
   - Wavelength: between \(10^{-2}\) to  \(10^{-1}\) meters
   - Frequency: \(10^{10}\) to \(10^9\) Hz

7. **Radio Frequency:**
   - Wavelength: \(10^{0}\) to \(10^{3}\) meters
   - Frequency: lower than \(10^6\) Hz

**Graph Details:**

- The visible region is depicted as a spectrum of colors ranging from violet (400 nm) through the other colors of the rainbow to red (750 nm).
- The frequency arrow points from higher frequencies to lower ones as it moves from left to right across the spectrum.
- Wavelengths increase from left to right on the top axis, with corresponding frequency decreasing from left to right noted on the bottom axis.
Transcribed Image Text:The image illustrates the electromagnetic spectrum, which is the range of all types of electromagnetic radiation. The spectrum is divided into various regions based on wavelength, measured in meters (m), and frequency, measured in inverse seconds (s⁻¹). **Regions of the Electromagnetic Spectrum:** 1. **Gamma Rays:** - Wavelength: \(10^{-11}\) to \(10^{-9}\) meters - Frequency: higher than \(10^{20}\) Hz 2. **X-Rays:** - Wavelength: \(10^{-10}\) to \(10^{-8}\) meters - Frequency: around \(10^{18}\) Hz 3. **Ultraviolet:** - Wavelength: slightly below \(10^{-7}\) meters - Frequencies range from approximately \(10^{16}\) to \(10^{15}\) Hz 4. **Visible Light:** - Wavelength: Approximately 400 nm (violet) to 750 nm (red) - The spectrum shows the range of colors from violet, blue, green, yellow, to red. 5. **Infrared:** - Wavelength: \(10^{-6}\) to \(10^{-3}\) meters - Frequency: around \(10^{13}\) Hz 6. **Microwaves:** - Wavelength: between \(10^{-2}\) to \(10^{-1}\) meters - Frequency: \(10^{10}\) to \(10^9\) Hz 7. **Radio Frequency:** - Wavelength: \(10^{0}\) to \(10^{3}\) meters - Frequency: lower than \(10^6\) Hz **Graph Details:** - The visible region is depicted as a spectrum of colors ranging from violet (400 nm) through the other colors of the rainbow to red (750 nm). - The frequency arrow points from higher frequencies to lower ones as it moves from left to right across the spectrum. - Wavelengths increase from left to right on the top axis, with corresponding frequency decreasing from left to right noted on the bottom axis.
**Instruction: Energy Comparison of Photons**

Compare the energy of a photon of wavelength \( \lambda_1 = 3.2 \, \mu m \) with that of wavelength \( \lambda_2 = 0.152 \, mm \).

**Task:**

Express your answer numerically to two significant figures.

**Equation:**

\[ \frac{E_1}{E_2} = \]

[The interface includes various buttons and a text entry field, implying that a numerical response should be entered in the provided space.]
Transcribed Image Text:**Instruction: Energy Comparison of Photons** Compare the energy of a photon of wavelength \( \lambda_1 = 3.2 \, \mu m \) with that of wavelength \( \lambda_2 = 0.152 \, mm \). **Task:** Express your answer numerically to two significant figures. **Equation:** \[ \frac{E_1}{E_2} = \] [The interface includes various buttons and a text entry field, implying that a numerical response should be entered in the provided space.]
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