A convex spherical mirror has a radius of curvature of 9.8 cm. Choose the answer

Question

A convex spherical mirror has a radius of curvature of 9.8 cm. Choose the answer below that best describes the image that is formed by an object that is placed 26.4 cm in front of the mirror. (a) Virtual, upright, magnified 0.15 times, and is 3.32 cm behind the mirror. (b) Real, inverted, magnified 0.65 times, and is 1.18 cm in front of the mirror. (c) Virtual, upright, magnified 0.18 times, and is 4.42 cm behind the mirror. (d) Real, the magnified 0.88 times, and is 2.42 cm in front of the mirror. (e) Virtual, upright, magnified 0.16 times, and is 4.13 cm behind the mirror. (f) _____

Explanation / Answer

R = -9.8 cm

u = 26.4 cm

from mirror formula

-2/9.8 = 1/26.4 +1/v

v = -4.13 cm

v is negative , so image is virtual image and image is behind the mirror

from magnification

m = -v/u = 4.13/26.4

m = +0.16

m is positibe , so image is upright image

correct option is (e)

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