A convex mirror has a focal length of -24 cm. Find the magnification produced by

Question

A convex mirror has a focal length of -24 cm. Find the magnification produced by the mirror when the object distance is (A) 5 cm and (B) 23 cm When an object is located very far away from a convex mirror, the image of the objects is 23 cm behind the mirror. Determine where the image is located when the object is placed 8.5 cm in front of the mirror. An object is placed 13 cm in front of a concave mirror whose focal length is 14 cm. The object is 3.8 cm tall. Determine (A) the location of the image taking a real image as a positive value and a virtual image as a negative value (B) Determine the height of the image, where an upright image will have a positive height + inverted negative height.

Explanation / Answer

1) A convex mirror has a focal length of -24 cm. Find the magnification produced by the mirror when the object distance is (A) 5 cm and (B) 23 cm.

Mirror formula, 1/f = 1/u + 1/v

1/[-24] = 1/5 +1/v

1/v = 1/[-24] - 1/5

v = - 4.14 cm.

m = -v/u

m = - [-4.14/5]

magnification produced by the mirror, m = 0.828

(13) Mirror formula, 1/f = 1/u + 1/v

1/f = 1/infinity - 1/23

1/f = -1/23 ------------->[1]

1/f = 1/8.5 + 1/v ------------->[2]

1/v = -1/23 -1/8.5

v = - 6.2 cm

The image is located 6.2 cm behind the mirror.

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