Using the spherical - mirror equation, determine the image distance for an object at infinity (00).
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Step 1: Write the spherical mirror equation: 1/f = 1/di + 1/do. Show more…
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What is the image distance for an object infinitely far from a concave spherical mirror?
Madhur L.
(I) How far from a concave mirror (radius 23.0 $\mathrm{cm} )$ must an object be placed if its image is to be at infinity?
Evaluate the mirror's focal length f and its associated sign. (cont.) Substituting known values into the mirror equation, we obtain 1/f = 1/p + 1/q = 1/38.8 cm + 1/-19.5 cm = -0.0255, so that f = 1/(-0.0255 cm^-1) = -39.2 cm. Every convex spherical mirror has a focal length f < 0. Evaluate the object or image distance and its associated sign, using the mirror equation. As shown above, the object distance p = 38.8 cm and the image distance q = -19.5 cm. Substitute known quantities and solve for the unknown quantity. The unknown quantity to be determined in part (b) is the magnification M. Recall that the lateral magnification M of a spherical mirror is defined as by the following. M = image height / object height = h' / h = -q / p. In this problem, q = -19.5 cm is the image distance and p = 38.8 cm is object distance. What is the object's magnification M? -0.503 Incorrect. Check the substitution of the given values in the magnification equation.
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