Light of wavelength 550 nm is incident on a diffraction grating that is 1 cm wide and has 1000 slits.What is the dispersion of the m = 2 line? A)2.0 x 10⁵ rad/m B)2.0 x 10⁴ rad/m C)2.0 x 10³ rad/m D)2.0 x 10² rad/m E)2.0 x 10¹ rad/m

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Quizplus · Accepted Answer

The dispersion is given by the formula:$$D=\frac{d	heta}{d\lambda}=\frac{m\lambda}{d}$$where:- m is the order of the diffraction line- λ is the wavelength of the light- d is the slit spacingIn this case, we have:- m = 2- λ = 550 nm = 5.5 x 10^-7 m- d = 1 cm / 1000 = 1 x 10^-6 mPlugging these values into the formula, we get:$$D=\frac{2	imes 5.5	imes 10^{-7}}{1	imes 10^{-6}}=1.1	imes 10^5 	ext{ rad/m}$$Therefore, the correct answer is A.

Light of Wavelength 550 Nm Is Incident on a Diffraction