Unlock AI power-ups — upgrade and save 20%!
Use code STUBE20OFF during your first month after signup. Upgrade now →
By ETphysics
Published Loading...
N/A views
N/A likes
Get instant insights and key takeaways from this YouTube video by ETphysics.
Diffraction Grating Problem Setup
📌 The problem involves two distinct wavelengths of light ( for blue and for orange) diffracting from the same grating, overlapping at an angle from the normal incidence.
📐 The fundamental equation for diffraction maxima is , where $d$ is the line spacing of the grating.
💡 Since the grating ($d$) and the angle () are the same for both wavelengths, the relationship must hold true for the overlapping maxima orders ( and ).
Determining the Order Ratio ()
🔗 Rearranging the constant relationship yields the ratio: .
🧮 Plugging in the wavelengths gives the ratio , which simplifies exactly to .
🔑 Since the order of diffraction ($n$) must be a whole number (e.g., 1, 2, 3...), the smallest acceptable combination that satisfies is (for blue light) and (for orange light).
Calculating the Grating Line Spacing ($d$)
🧪 Using the established orders () and the orange light wavelength (), the line spacing $d$ can be calculated using .
🧮 Substituting the values: .
📏 The calculated result is , which rounds to (or ), matching the expected multiple-choice answer.
Key Points & Insights
➡️ When facing multiple unknowns in physics problems, identify constants across the different conditions (here, $d$ and ) to establish an initial solvable relationship ().
➡️ The constraint that the order of diffraction ($n$) must be a positive integer is crucial for solving ratio problems involving unknown orders.
➡️ In problems where multiple integer solutions exist (e.g., ), always test the smallest valid combination first, as this often corresponds to the solution provided in typical physics problems.
➡️ Double-check all calculations, as a slight error (like using instead of ) can lead to a slightly different numerical result, requiring confirmation with the other known variable set (e.g., using the equation).
📸 Video summarized with SummaryTube.com on Jan 17, 2026, 16:19 UTC
Find relevant products on Amazon related to this video
As an Amazon Associate, we earn from qualifying purchases
Full video URL: youtube.com/watch?v=f6-SH6hwZr8
Duration: 10:27
Get instant insights and key takeaways from this YouTube video by ETphysics.
Diffraction Grating Problem Setup
📌 The problem involves two distinct wavelengths of light ( for blue and for orange) diffracting from the same grating, overlapping at an angle from the normal incidence.
📐 The fundamental equation for diffraction maxima is , where $d$ is the line spacing of the grating.
💡 Since the grating ($d$) and the angle () are the same for both wavelengths, the relationship must hold true for the overlapping maxima orders ( and ).
Determining the Order Ratio ()
🔗 Rearranging the constant relationship yields the ratio: .
🧮 Plugging in the wavelengths gives the ratio , which simplifies exactly to .
🔑 Since the order of diffraction ($n$) must be a whole number (e.g., 1, 2, 3...), the smallest acceptable combination that satisfies is (for blue light) and (for orange light).
Calculating the Grating Line Spacing ($d$)
🧪 Using the established orders () and the orange light wavelength (), the line spacing $d$ can be calculated using .
🧮 Substituting the values: .
📏 The calculated result is , which rounds to (or ), matching the expected multiple-choice answer.
Key Points & Insights
➡️ When facing multiple unknowns in physics problems, identify constants across the different conditions (here, $d$ and ) to establish an initial solvable relationship ().
➡️ The constraint that the order of diffraction ($n$) must be a positive integer is crucial for solving ratio problems involving unknown orders.
➡️ In problems where multiple integer solutions exist (e.g., ), always test the smallest valid combination first, as this often corresponds to the solution provided in typical physics problems.
➡️ Double-check all calculations, as a slight error (like using instead of ) can lead to a slightly different numerical result, requiring confirmation with the other known variable set (e.g., using the equation).
📸 Video summarized with SummaryTube.com on Jan 17, 2026, 16:19 UTC
Find relevant products on Amazon related to this video
As an Amazon Associate, we earn from qualifying purchases

Summarize youtube video with AI directly from any YouTube video page. Save Time.
Install our free Chrome extension. Get expert level summaries with one click.