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…

Monochromatic electromagnetic radiation falls on double slits separated by distance 4.16 pm, 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.

Monochromatic electromagnetic radiation falls on double slits separated by distance 4.16 pm, 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.

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 90AP: A monochromatic light of unknown wavelength is incident on a slit of width 20 m. A diffraction...

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Question

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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