Resolved: "What is the spacing between structures in a..."

High School
Physics
Light and Optics
Diffraction of light

Melina Barber

Answered question

2022-09-25

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}^{\circ}

angle?

Answer & Explanation

Zariah Fletcher

Beginner2022-09-26Added 8 answers

Data:

d = ? θ = 30^{\circ} n = 1 λ = 525 n m = 525 \times 10^{- 9} m

Solution:
Using the given formula, we can write,

2 d \sin θ = n λ

Substituting the values, we get,

2 d \sin 30^{\circ} = 1 \times 525 \times 10^{- 9} 2 d \times \frac{1}{2} = 1 \times 525 \times 10^{- 9} d = 1 \times 525 \times 10^{- 9} d = 525 \times 10^{- 9} d = 525 n m

Answer:
The spacing between structures in a feather that acts as a reflection grating will be, d=525 nm

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