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Chapter 33: Q.53 (page 957)

If sunlight shines straight onto a peacock feather, the feather appears bright blue when viewed from15鈭�on 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=1.82渭minches 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

dsin鈦�胃m=m位d=m位sin鈦�胃m.

03

Step: 3 Finding spacing:

The spacing as

d=1脳4.7脳10鈭�7sin鈦�15鈭�d=1.82脳10鈭�6m.

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Most popular questions from this chapter

FIGUREP33.36shows the light intensity on a screen behind a double slit. The slit spacing is 0.20mmand the screen is 2.0mbehind the slits. What is the wavelength (in nm) of the light?

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The pinhole camera of FIGURE images distant objects by allowing only a narrow bundle of light rays to pass through the hole and strike the film. If light consisted of particles, you could make the image sharper and sharper (at the expense of getting dimmer and dimmer) by making the aperture smaller and smaller. In practice, diffraction of light by the circular aperture limits the maximum sharpness that can be obtained. Consider two distant points of light, such as two distant streetlights. Each will produce a circular diffraction pattern on the film. The two images can just barely be resolved if the central maximum of one image falls on the first dark fringe of the other image. (This is called Rayleigh鈥檚 criterion, and we will explore its implication for optical instruments in Chapter 35.)

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