On this page, we explore the concept of wave interference and how it applies to light. Specifically, we analyze a scenario involving monochromatic light and a double-slit experiment.**Understanding the Interference Pattern:**When waves overlap, they can interfere with each other, resulting in patterns of constructive and destructive interference. Here, we use monochromatic light (light with a single frequency) which hits a double-slit setup with slits 0.017 mm apart. This setup produces an interference pattern with bright fringes. We observe the 5th-order bright fringe at an angle of 13.1°.**Problem 1: Finding the Wavelength (λ):**We want to determine the wavelength of the monochromatic light used. The calculation involves understanding the relationship between the angle, the slit separation, and the order of the fringe.The wavelength, λ, can be calculated using the appropriate wave interference formulas in nanometers (nm).\[ \text{The wavelength, } λ = \_\_\_\_\_\_ \text{ nm} \]**Problem 2: Determining the Distance to the Fringe (y₅):**Given that the viewing screen is 4 meters away from the double-slit, we need to calculate how far the 5th-order bright fringe will form from the center of the screen.\[ \text{The distance to the fringe, y₅ = \_\_\_\_\_\_ \text{ cm} } \]By exploring these calculations, one can understand the fundamental principles of wave interference and how various factors like wavelength, slit distance, and angles contribute to the resulting interference pattern observed on a screen.

Separation between slits is Order of fringe is Angle is Distance between slits and screen is…

Superposition of waves shows interference pattern. Monochromatic light (light wave of a particular frequency) falls on double-slit 0.017-mm apart produces the 5th-order bright fringe at an 13.1° angle. Find the wavelength of the light used.

Superposition of waves shows interference pattern. Monochromatic light (light wave of a particular frequency) falls on double-slit 0.017-mm apart produces the 5th-order bright fringe at an 13.1° angle. Find the wavelength of the light used.

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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Concept explainers

Diffraction of light

In physics, the term diffraction is defined as the bending of light around the corners of the obstacle. As a light ray passes by an aperture, it bends around the edges or through slits, it spreads out through a narrow opening. The diffracted light will produce fringes of bright and dark or colored bands which are labeled as a diffraction pattern.

Question

On this page, we explore the concept of wave interference and how it applies to light. Specifically, we analyze a scenario involving monochromatic light and a double-slit experiment.

**Understanding the Interference Pattern:**

When waves overlap, they can interfere with each other, resulting in patterns of constructive and destructive interference. Here, we use monochromatic light (light with a single frequency) which hits a double-slit setup with slits 0.017 mm apart. This setup produces an interference pattern with bright fringes. We observe the 5th-order bright fringe at an angle of 13.1°.

**Problem 1: Finding the Wavelength (λ):**

We want to determine the wavelength of the monochromatic light used. The calculation involves understanding the relationship between the angle, the slit separation, and the order of the fringe.

The wavelength, λ, can be calculated using the appropriate wave interference formulas in nanometers (nm).

\[ \text{The wavelength, } λ = \_\_\_\_\_\_ \text{ nm} \]

**Problem 2: Determining the Distance to the Fringe (y₅):**

Given that the viewing screen is 4 meters away from the double-slit, we need to calculate how far the 5th-order bright fringe will form from the center of the screen.

\[ \text{The distance to the fringe, y₅ = \_\_\_\_\_\_ \text{ cm} } \]

By exploring these calculations, one can understand the fundamental principles of wave interference and how various factors like wavelength, slit distance, and angles contribute to the resulting interference pattern observed on a screen.

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