An object is held 47.6 cm away from a mirror. The mirror has a focal length of -

Question

An object is held 47.6 cm away from a mirror. The mirror has a focal length of -5.7 cm.
a.) Determine the image distance....... cm
b.) Determine the magnification.
c.) If the object is 9 cm long, determine the image height. ........cm


d.) Which of the following are true about the image? Choose all that apply.
The image is inverted.
The image is virtual.
The image is upright.
The image is real.

e.) Which of the following are true about the mirror? Choose all that apply.
The mirror is convex.
The mirror is converging.
The mirror is concave.
The mirror is diverging.

Explanation / Answer

a)

1/p + 1/q = 1/f

>>> 1/q = 1/f - 1/p = 1/(-5.7) - 1/47.6

>>> q = -5.090432 -5.09 cm

b)

m = q/p = -5.090432/47.6 = -0.10694 -0.107

c)

m = h'/h >> h' = mh = 0.10694*9 = 0.962 cm

d)

The image is inverted.

The image is virtual.

e)

The mirror is convex.

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