Multiple Choice
In an experiment where red light passes through a single slit, which change would cause the central maximum on the diffraction pattern to become wider on the screen?
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34. Wave Optics
Single Slit Diffraction
Multiple Choice
A carbon dioxide laser produceselectromagnetic waves, which pass through a circular aperture with diameter What is the approximate width of the laser beam when it strikes a target away?
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Verified step by step guidance1
First, understand that this problem involves diffraction of light through a circular aperture, which can be analyzed using the concept of the diffraction pattern produced by a circular aperture, known as the Airy disk.
The angular width of the central maximum (Airy disk) in the diffraction pattern is given by the formula: θ = 1.22 * (λ / D), where λ is the wavelength of the light and D is the diameter of the aperture.
Substitute the given values into the formula: λ = 10.6 μm = 10.6 x 10^-6 m and D = 1.0 mm = 1.0 x 10^-3 m.
Calculate the angular width θ using the formula: θ = 1.22 * (10.6 x 10^-6 m / 1.0 x 10^-3 m).
Finally, to find the width of the laser beam on the target, use the formula for the linear width: W = θ * L, where L is the distance to the target (3.0 m). Substitute the calculated θ and L into this formula to find the approximate width of the laser beam on the target.
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