How wide must a narrow slit be if the first diffraction minimum occurs at $\pm$12$\degree$ with laser light of 633 nm? A)3.0 *10 ^- ⁶ m B)3.0* 10 ^- ⁵ m C)6.1 * 10 ^- ⁶ m D)6 .1* 10 ^- ⁵ m E)1.5 *10 ^- ⁶ m

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Quizplus · Accepted Answer

The first diffraction minimum occurs when the path length difference between the two waves is half a wavelength. Therefore, the width of the slit must be equal to half the wavelength of the light.$$w = \frac{\lambda}{2} = \frac{633 	ext{ nm}}{2} = 3.165 	imes 10^{-6} 	ext{ m}$$

How Wide Must a Narrow Slit Be If the First ±\pm±

How Wide Must a Narrow Slit Be If the First $\pm$