A convex spherical mirror has a radius of curvature of magnitude 46.0 cm. (a) De

Question

A convex spherical mirror has a radius of curvature of magnitude 46.0 cm. (a) Determine the position of the virtual image and the magnification for object distances of 39.0 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 57.0 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

a )

given

R = 46 cm

f = - 23 cm

u = 39 cm

using 1 / f = 1 / u +1 / v

1 / - 23 = 1 / 39 + 1 / v

v = - 14.46 cm

m = - v / u

m = 14.46 / 39

m = 0.37

b )

1 / - 23 = 1 / 57 + 1 / v

v = - 16.38 cm

m = - v / u

m = 16.38 / 57

m = 0.287

c )

case a : upright

case b : upright

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