# 1. What is the spacing between structures in a feather that acts as a reflection grating, given...

## Question:

1. What is the spacing between structures in a feather that acts as a reflection grating, given that they produce a first-order maximum for 525-nm light at a 30.0-degree angle?

2. Structures on a bird feather act like a reflection grating having 8000 lines per centimeter. What is the angle of the first-order maximum for 600-nm light?

## Interference

When light passes a single slit, it forms a diffraction pattern that is different from what was formed by double slits or what is called diffraction gratings.

Below is the equation for destructive interference for a single slit:

$$d sin\theta = m \lambda$$

where {eq}d {/eq} is the slit width,

{eq}\theta {/eq} is the angle relative to the original direction of the light,

{eq}m {/eq} is the order of the minimum and {eq}\lambda {/eq} is the light's wavelength.

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Part A.

Given:

{eq}m = 1 \\ \lambda = 525 nm \\ \theta = 30.0 {/eq}

Solution:

{eq}d sin \theta = m \lambda \\ d = \frac {m \lambda }{ sin... 