# Worksheet: Single-Slit Diffraction

In this worksheet, we will practice calculating light intensities of different wavelengths at variable angles relative to a single-slit's transmission axis.

**Q1: **

A single slit of width 0.20 mm is illuminated by light of 400 nm wavelength. The diffracted light falls on a screen. In the pattern formed on the screen, the second minimum of the diffracted light is a distance of 2.5 mm from the central maximum. What is the distance between the slit and the screen?

**Q10: **

A single-slit diffraction pattern for light with a wavelength is projected onto a screen that is 1.00 m away from a slit of width 0.25 mm.

How far from the center of the pattern is the center of the first dark fringe?

How far from the center of the pattern is the center of the second dark fringe?

**Q11: **

Monochromatic light of wavelength 530 nm passes through a horizontal single slit of width 1.5 μm in an opaque plate. A screen of dimensions is 1.2 m away from the slit.

What is the angle with respect to the center of the diffraction pattern of the first minimum of intensity observed?

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What is the angle with respect to the center of the diffraction pattern of the second minimum of intensity observed?

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What is the angle with respect to the center of the diffraction pattern of the first maximum of intensity observed?

What is the angle with respect to the center of the diffraction pattern of the second maximum of intensity observed?

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What is the angle with respect to the center of the diffraction pattern of the third maximum of intensity observed?

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How wide is the central bright fringe on the screen?

How wide is the first bright fringe on the screen that is separated from the central bright fringe by a dark fringe?

**Q12: **

How many times the wavelength of a wave is the minimum width of a single slit that will produce a diffraction pattern containing a first minimum?

How many times the wavelength of a wave is the minimum width of a single slit that will produce a diffraction pattern containing 50 minima?

How many times the wavelength of a wave is the minimum width of a single slit that will produce a diffraction pattern containing 1,000 minima?

**Q14: **

A doorway of width 1.0 m acts as an aperture that diffracts both light and sound.

What is the angular position of the first minimum in the diffraction pattern of 600-nm light passing through the doorway?

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What is the angular position of the first minimum in the diffraction pattern of 440-Hz-frequency sound passing through the doorway at a speed of 343 m/s?

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**Q15: **

Light of wavelength m is diffracted by a single slit of width 0.025 mm. The diffracted light is incident on a screen 2.0 m from the slit. The intensity of the light in the diffraction pattern for different values of the diffraction angle can be expressed in terms of the intensity of the central maximum .

What is the intensity for .

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What is the intensity for .

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What is the intensity for .

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What is the intensity for .

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What is the intensity for .

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**Q16: **

An aircraft maintenance technician walks past a tall hangar door that acts like a single slit for sound entering the hangar. Outside the door, on a line perpendicular to the opening in the door, a jet engine makes a 600-Hz sound. At what angle with the door will the technician observe the first minimum in sound intensity if the vertical opening is 0.800 m wide and the speed of sound is 340 m/s?