Intense white light is incident on a diffraction grating that has 464 lines/mm. (a) What is the highest order in which the complete visible spectrum can be seen with this grating? (Enter 1 for first order, 2 for second order, etc.) (b) What is the angular separation between the violet edge (400 nm) and the red edge (700 nm) of the first order spectrum produced by the grating?

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**Diffraction Grating and Visible Spectrum Analysis**

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Intense white light is incident on a diffraction grating that has **464 lines/mm**.

**(a)** What is the highest order in which the complete visible spectrum can be seen with this grating? (Enter 1 for first order, 2 for second order, etc.)

[Text Box for Answer]

**(b)** What is the angular separation between the violet edge (400 nm) and the red edge (700 nm) of the first order spectrum produced by the grating?

[Text Box for Answer] °

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### Explanation

This problem involves determining the highest order and angular separation for light passing through a diffraction grating. A diffraction grating's ability to separate different wavelengths depends on its line density, measured in lines per millimeter.

1. **Highest Order Calculation:**
   - The highest order refers to the maximum number at which the complete visible spectrum can be observed.

2. **Angular Separation:**
   - This is the angle between the violet and red edges of the visible spectrum for a given order. It helps in understanding how well the grating separates different wavelengths.

Understanding these concepts is crucial for applications in spectroscopy and optical analysis.
Transcribed Image Text:**Diffraction Grating and Visible Spectrum Analysis** --- Intense white light is incident on a diffraction grating that has **464 lines/mm**. **(a)** What is the highest order in which the complete visible spectrum can be seen with this grating? (Enter 1 for first order, 2 for second order, etc.) [Text Box for Answer] **(b)** What is the angular separation between the violet edge (400 nm) and the red edge (700 nm) of the first order spectrum produced by the grating? [Text Box for Answer] ° --- ### Explanation This problem involves determining the highest order and angular separation for light passing through a diffraction grating. A diffraction grating's ability to separate different wavelengths depends on its line density, measured in lines per millimeter. 1. **Highest Order Calculation:** - The highest order refers to the maximum number at which the complete visible spectrum can be observed. 2. **Angular Separation:** - This is the angle between the violet and red edges of the visible spectrum for a given order. It helps in understanding how well the grating separates different wavelengths. Understanding these concepts is crucial for applications in spectroscopy and optical analysis.
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