What is the spacing between structures in a feather that acts as a reflection grating?

Melina Barber

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 angle?

Answer & Explanation

Zariah Fletcher

Zariah Fletcher

Beginner2022-09-26Added 8 answers

Data:
d = ? θ = 30 n = 1 λ = 525   n m = 525 × 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 = 1 × 525 × 10 9 2 d × 1 2 = 1 × 525 × 10 9 d = 1 × 525 × 10 9 d = 525 × 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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