Find the wavelengths that produce first-order maxima

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When white light, composed of all wavelengths (as opposed to monochromatic light that is composed of one wavelength of light), is shone through a diffraction grating, bands of various colours appear on the screen. For example, there may be first-order (m = 1) fringes for red, orange, and yellow as well as second or third order fringes for these colours.

In this particular case, white light is shone on a grating that is 1.00 cm wide and contains 10 000 lines. Firstorder fringes are produced for three colours of light at angles of 30o, 35o, and 40o.

a) Find the wavelengths that produce first-order maxima at these angles.

b) Find out what colours are associated with these wavelengths.

You may use the follow visible light spectrum for part b):

The Visible Light Spectrum

Color Wavelength (nm)

Red 625 - 740

Orange 590 - 625

Yellow 565 - 590

Green 520 - 565

Cyan 500 - 520

Blue 435 - 500

Violet 380 - 435

Reference no: EM132582678

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