Question in pictures Monochromatic electromagnetic radiation falls on double slits separated by distance 4.16 µm, creating a diffraction pattern on a screen 2.88 m away, If the first minimum is 2.68mm from the center of the pattern, find f, the wavelength of this wave, in Hz.

Find the wavelength of the wave. λ=ydnD=2.68 mm10-3 m1 mm4.16 μm10-6 m1 μm12.88 m=2.68×10-3…

Answered: Monochromatic electromagnetic radiation…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question in pictures

Monochromatic electromagnetic radiation falls on double slits separated by distance 4.16 µm, creating a diffraction pattern on a screen 2.88 m away, If the first minimum is 2.68
mm from the center of the pattern, find f, the wavelength of this wave, in Hz.

Expert Solution

Step 1

Find the wavelength of the wave.

$\begin{array}{rcl} λ & = & \frac{y d}{n D} \\ = & \frac{(2.68 mm) (\frac{10^{- 3} m}{1 mm}) (4.16 μm) (\frac{10^{- 6} m}{1 μm})}{1 (2.88 m)} \\ = & \frac{(2.68 \times 10^{- 3} m) (4.16 \times 10^{- 6} m)}{(2.88 m)} \\ = & 3.87 \times 10^{- 9} m \end{array}$

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