contestada

If the object distance in the following picture were 8.0 m and the image distance were 2.0 m, and the object is 0.50 m tall, how tall is the image? Hi = m Is the image inverted or erect?

Respuesta :

Height of the image: -0.125 m, inverted

Explanation:

We can solve this problem by using the magnification equation for mirrors/lenses:

[tex]M=-\frac{q}{p}=\frac{y'}{y}[/tex]

where

q is the distance of the image from the mirror

p is the distance of the object from the mirror

y' is the height of the image

y is the height of the object

For the object in this problem, we have:

p = 8.0 m

q = 2.0 m

y = 0.50 m

Therefore, we can solve for y', the height of the image:

[tex]y'=-\frac{qy}{p}=-\frac{(2.0)(0.50)}{8.0}=-0.125 m[/tex]

And the negative sign means the image is inverted.

Learn more about lens/mirrrors:

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