Find the two locations where an object can be placed in front of a concave mirro

Question

Find the two locations where an object can be placed in front of a concave mirror with a radius of curvature of 48.0 cm such that its image is twice its size In the case when the object is placed closer to the mirror state whether the image is real or virtual, upright or inverted real upright virtual upright real inverted virtual inverted In the case when the object is placed farther to the mirror, state whether the image is real or virtual, upright or inverted. real upright virtual uptight real inverted virtual inverted

Explanation / Answer

f = R/2 = 48/2 = 24 cm

m = +- 2

when m = - 2

m = - di/do = - 2

di = 2 do

1/f = 1/do + 1/di

1/24 = 1 / 2do + 1/do

do = 36 cm .

when m = - di/do = 2

di = - 2 odo

1/24 = 1/(-2do) + 1/do

do = 12 cm

Ans: 12 cm, 36 cm

(B) virtual and upright

(C) real and inverted.

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