EM-1 The electromagnetic spectrum is shown below. The speed of light waves in a vacuum is 3.00x10 m/s. Visible to the human eye Wavelength (m) 106 Long waves 10⁰ Radio waves red .700 orange green blue violet .600 .500 .400x106m 106 107 Infrared Ultraviolet 10-10 X rays 10-14 Gamma rays m. a) Find the frequency of vibration required to produce radio waves of wavelength 10.0m. b) Find the frequency of vibration required to produce X rays of wavelength 1x10-10, c) Find the frequencies of vibration required to produce visible light from 400nm to 700nm in wavelength. Frequency

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Chapter1: Units, Trigonometry. And Vectors
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**Electromagnetic Spectrum Overview**

The electromagnetic spectrum is illustrated in the diagram, highlighting different types of waves with their corresponding wavelengths. The speed of light in a vacuum is given as \(3.00 \times 10^8\) m/s.

### Diagram Details

- **Wavelength Range**:
  - From \(10^6\) meters (long waves) to \(10^{-14}\) meters (gamma rays).
  
- **Visible Spectrum**:
  - Marked as visible to the human eye, ranging from red to violet.
  - Wavelengths:
    - Red: 700 nm (\(0.700 \times 10^{-6}\) m)
    - Orange: 600 nm
    - Green: 500 nm
    - Blue: 400 nm
    - Violet: \(0.400 \times 10^{-6}\) m

- **Wave Types and Ranges**:
  - **Long Waves**
  - **Radio Waves**
  - **Infrared**
  - **Ultraviolet**
  - **X-rays**
  - **Gamma Rays**

### Calculation Exercises

**a) Radio Waves:**
- Find the frequency of vibration for radio waves with a wavelength of 10.0 m.

**b) X-rays:**
- Find the frequency of vibration for X-rays with a wavelength of \(1 \times 10^{-10}\) m.

**c) Visible Light:**
- Find the frequencies of vibration for visible light within the wavelength range of 400 nm to 700 nm.

Utilize the formula for wave frequency \((f)\):
\[ f = \frac{c}{\lambda} \]
Where \(c\) is the speed of light (\(3.00 \times 10^8\) m/s) and \(\lambda\) is the wavelength.
Transcribed Image Text:**Electromagnetic Spectrum Overview** The electromagnetic spectrum is illustrated in the diagram, highlighting different types of waves with their corresponding wavelengths. The speed of light in a vacuum is given as \(3.00 \times 10^8\) m/s. ### Diagram Details - **Wavelength Range**: - From \(10^6\) meters (long waves) to \(10^{-14}\) meters (gamma rays). - **Visible Spectrum**: - Marked as visible to the human eye, ranging from red to violet. - Wavelengths: - Red: 700 nm (\(0.700 \times 10^{-6}\) m) - Orange: 600 nm - Green: 500 nm - Blue: 400 nm - Violet: \(0.400 \times 10^{-6}\) m - **Wave Types and Ranges**: - **Long Waves** - **Radio Waves** - **Infrared** - **Ultraviolet** - **X-rays** - **Gamma Rays** ### Calculation Exercises **a) Radio Waves:** - Find the frequency of vibration for radio waves with a wavelength of 10.0 m. **b) X-rays:** - Find the frequency of vibration for X-rays with a wavelength of \(1 \times 10^{-10}\) m. **c) Visible Light:** - Find the frequencies of vibration for visible light within the wavelength range of 400 nm to 700 nm. Utilize the formula for wave frequency \((f)\): \[ f = \frac{c}{\lambda} \] Where \(c\) is the speed of light (\(3.00 \times 10^8\) m/s) and \(\lambda\) is the wavelength.
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