Show exact work and answer please! thanks! will rate for correct answer! An obje

Question

Show exact work and answer please! thanks! will rate for correct answer!

An object that is 32 cm in front of a convex mirror has an image located 18 cm behind the mirror. How far behind the mirror is the image located when the object is 18 cm in front of the mirror?

Show exact work and answer please! thanks! will rate for correct answer! An object that is 32 cm in front of a convex mirror has an image located 18 cm behind the mirror. How far behind the mirror is the image located when the object is 18 cm in front of the mirror?

Explanation / Answer

use mirror formula

we have 1/f = 1/i + 1/o

given for o = -32 cm , i = 18 cm

so f = i*o/(i+o) = 41.14 cm

now we have to find i when o = -18 cm

so we get i = f*o/(o-f) = 41.14*(-18)/(-18 - 41.14) cm = 12.52 cm

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