34. Wave Optics

Single Slit Diffraction

Topic 9.2 - Single-slit Diffraction

Physics - Optics: Single Slit Diffraction (1 of 15) Basics

Single Slit Diffraction - Physics Problems

 A single slit is illuminated by coherent monochromatic light at <math display="inline"><mrow><mn>680</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">nm</mi></mrow></math>. On a screen <math display="inline"><mrow><mn>2..9</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">m</mi></mrow></math> behind the slit, a central bright spot is observed to have a width of <math display="inline"><mrow><mn>39</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">mm</mi></mrow></math>. What is the width of the single slit? 

<p>Light from a 600 nm laser is shown through a single slit of unknown width. If a screen is placed 4.5 m behind the slit captures a diffraction patter with a central bright fringe of width 20 mm, what is the width of the single slit?</p>

Anderson Video - Single-Slit Diffraction

 A carbon dioxide laser produces <math display=“inline”<mrow><mn>10</mn><mo>.</mo><mn>6</mn><mtext>&#x00A0;</mtext><mo stretchy="false">&#x03BC;</mo><mi mathvariant="normal" class="MathML-Unit">m</mi></mrow></math> electromagnetic waves, which pass through a circular aperture with diameter <math display=“inline”><mrow><mn>1</mn><mo>.</mo><mrow><mn>0</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">&#x00A0;mm</mi></mrow><mo>.</mo></mrow></math> What is the approximate width of the laser beam when it strikes a target <math display=“inline”><mrow><mn>3</mn><mo>.</mo><mrow><mn>0</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">&#x00A0;m</mi></mrow></mrow></math> away? 

Single Slit Diffraciton

 A single slit is illuminated by coherent monochromatic light at <math display=“inline”><mrow><mrow><mn>680</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">nm</mi></mrow><mo>.</mo></mrow></math> On a screen <math display=“inline”><mrow><mn>2</mn><mo>.</mo><mrow><mn>9</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">m</mi></mrow></mrow></math> behind the slit, a central bright spot is observed to have a width of <math display=“inline”><mrow><mrow><mn>39</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">mm</mi></mrow><mo>.</mo></mrow></math> What is the width of the single slit? 

 The fringe spacing will remain the same. 

 A single slit experiment is conducted in air using a laser at <math display="inline"><mrow><mn>532</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">nm</mi></mrow></math> and a slit width of <math display='inline'><mrow><mn>20</mn><mo rspace="thickmathspace">&#x2062;</mo><mo mathvariant="normal" class="MathML-Unit">&#x03BC;</mo><mi mathvariant="normal" class="MathML-Unit">m</mi></mrow></math>. What happens to the fringe spacing if the slit width is decreased while the distance to the screen and wavelength remain constant? 

 A single slit experiment is conducted in air using a laser at <math display="inline"><mrow><mn>532</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">nm</mi></mrow></math> and a slit width of <math display='inline'><mrow><mn>20</mn><mo rspace="thickmathspace">&#x2062;</mo><mo mathvariant="normal" class="MathML-Unit">&#x03BC;</mo><mi mathvariant="normal" class="MathML-Unit">m</mi></mrow></math>. What happens to the fringe spacing if the entire experiment is conducted in water? 

Number of Dark Fringes on a Screen

Anderson Video - Single-Slit Diffraction Example

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