The lines in a grating are uniformly spaced at

In summary, a grating is a device used in optics and spectroscopy to diffract light into its component wavelengths. It consists of uniformly spaced lines or grooves that can be opaque or transparent. The spacing between the lines is designed to be uniform and can be adjusted to create different types of gratings for various applications. The purpose of the uniform spacing is to efficiently diffract light and create a clear diffraction pattern. While the lines in a grating can vary in width, the spacing between them will always be uniform.
  • #1
AnnieMoo
2
0

Homework Statement



The lines in a grating are uniformly spaced at 1530 nm. Calculate the angular separation of the second order bright fringes between light of wavelength 600 nm and 603.11 nm. Answer in __mrad

Homework Equations



Theta = sin-1 ((m*lambda*2)/(d))


The Attempt at a Solution



d = 1530 nm
m = 2
lambda1 = 600 nm
lambda2 = 603.11

Theta1 = sin-1 ((2*600)/(1530))
= 51.66

Theta2 = sin-1 ((2*603.11)/(1530))
= 52.03

Theta2 - Theta1 = (52.03)-(51.66) = 0.37

The answer is apparently wrong. Please help! I would really appreciate it. Thanks!
 
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  • #2
Hi AnnieMoo,

In what units have you got the separation angle? And what is said in the problem text?

ehild
 

Related to The lines in a grating are uniformly spaced at

1. What is a grating?

A grating is a device used in optics and spectroscopy to diffract light into its component wavelengths. It consists of a series of parallel lines or grooves that are uniformly spaced and can be either opaque or transparent.

2. How are the lines in a grating spaced?

The lines in a grating are uniformly spaced at equal intervals. This means that the distance between each line is the same throughout the entire grating.

3. What is the purpose of the uniform spacing in a grating?

The uniform spacing in a grating allows for the efficient diffraction of light into its component wavelengths. This is because the spacing is designed to match the wavelength of light, resulting in constructive interference and a clear diffraction pattern.

4. Are the lines in a grating always the same width?

No, the lines in a grating can vary in width depending on the specific design and purpose of the grating. However, the spacing between the lines will always be uniform.

5. Can the spacing of the lines in a grating be adjusted?

Yes, the spacing of the lines in a grating can be adjusted by changing the parameters of the manufacturing process. This allows for the creation of gratings with different spacing to suit different applications.

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