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If sunlight shines straight onto a peacock feather, the feather appears bright blue when viewed from15on either side of the incident beam of light. The blue color is due to diffraction from parallel rods of melanin in the feather barbules, as was shown in the photograph on page 940. Other wavelengths in the incident light are diffracted at different angles, leaving only the blue light to be seen. The average wavelength of blue light is 470nm. Assuming this to be the first-order diffraction, what is the spacing of the melanin rods in the feather?

Short Answer

Expert verified

The feather's melanin rods are d=1.82minches apart.

Step by step solution

01

Step: 1 Wavelength of blue light:

High energy visible (HEV) light, often called blue light, has the shortest wavelength of actinic ray (role="math" localid="1649157295025" 380nm to 500nm) so produces the foremost energy.

02

Step: 2 Derivating part:

The grating spacing as

dsinm=md=msinm.

03

Step: 3 Finding spacing:

The spacing as

d=14.7107sin15d=1.82106m.

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