A convex spherical mirror has a radius of curvature of magnitude 38.0 cm. (a) De

Question

A convex spherical mirror has a radius of curvature of magnitude 38.0 cm. (a) Determine the position of the virtual image and the magnification for object distances of 31.0 cm. Indicate the location of the image with the sign of your answer. image location = ________ cm magnification = ________ (b) Determine the position of the virtual image and the magnification for object distances of 43.0 cm. Indicate the location of the image with the sign of your answer. image location = ________ cm magnification = ________ (c) Are the images in parts (a) and (b) upright or inverted? The image in part (a) is The image in part (b) is

Explanation / Answer

convex mirror sign convention f is negative

f = -R/2 = -38/2 = -19 cm

part a )

1/u + 1/v = 1/f

u = 31 cm

f = -19 cm

1/v = 1/-19 - 1/31

v = -11.78 cm

m = -v/u = -(-11.78)/31 = 0.38

part b )

u = 43 cm

v = -13.18 cm

m = 0.306

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