One diopter prism ______.

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Multiple Choice

One diopter prism ______.

Explanation:
A prism’s power in diopters tells you how much it deflects light over a given distance. By definition, a 1 diopter prism shifts a light ray by 1 centimeter after the ray travels 1 meter. Using the small-angle idea that tan(theta) ≈ theta for tiny angles, that 1 cm shift at 1 meter corresponds to a deviation angle of about 0.01 radians, which is what a 1 diopter prism produces. So the statement that a one-diopter prism deviates a ray by 1 cm at a distance of 1 meter is the correct description. If the displacement were 1 cm at 2 meters, the power would be about 0.5 diopters; if it were 2 cm at 1 meter, about 2 diopters; and if it were 1 mm at 1 meter, about 0.1 diopter.

A prism’s power in diopters tells you how much it deflects light over a given distance. By definition, a 1 diopter prism shifts a light ray by 1 centimeter after the ray travels 1 meter. Using the small-angle idea that tan(theta) ≈ theta for tiny angles, that 1 cm shift at 1 meter corresponds to a deviation angle of about 0.01 radians, which is what a 1 diopter prism produces. So the statement that a one-diopter prism deviates a ray by 1 cm at a distance of 1 meter is the correct description.

If the displacement were 1 cm at 2 meters, the power would be about 0.5 diopters; if it were 2 cm at 1 meter, about 2 diopters; and if it were 1 mm at 1 meter, about 0.1 diopter.

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