Calculating Third-Order Maximum Angle for Grating

AI Thread Summary
To calculate the third-order maximum angle for a grating with 7000 lines over 2.67 cm illuminated by a mercury vapor lamp, the relevant diffraction equation is d sin(θ) = mλ, where d is the grating spacing, m is the order of the maximum, and λ is the wavelength of light. The grating spacing (d) is determined by dividing the total width by the number of lines, resulting in d = 2.67 cm / 7000 lines. For the green line at 546 nm, substituting the values into the equation for m = 3 will yield the angle θ. The solution requires careful calculation to find the expected angle for the third-order maximum.
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Homework Statement



A grating has exactly 7000 lines uniformly spaced over 2.67 cm and is illuminated by light from a mercury vapor discharge lamp. What is the expected angle for the third-order maximum of the green line ( = 546 nm)?

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The Attempt at a Solution



no idea :(
 
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Try to find out the relevant equation for diffraction grating.
 
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