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A woman stands 1.8 meters from a convex mirror with focal length -0.7 meters. If she...

A woman stands 1.8 meters from a convex mirror with focal length -0.7 meters. If she is 1.6 meters tall, calculate the height of her reflection

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Answer #1

Focal length of the convex mirror = f = -0.7 m

Distance of the woman from the mirror = do = 1.8 m

Distance of the image formed from the mirror = di

By Mirror Equation,

di = -0.504 m

The negative sign indicates the image is formed behind the mirror.

Magnification of the image = M

M = 0.28

Height of the woman = ho = 1.6 m

Height of the image = hi

hi = 0.448 m

Height of the reflection of the woman = 0.448 m

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