An object is held 93.6 cm away from a mirror. The mirror has a focal length of 5

Question

An object is held 93.6 cm away from a mirror. The mirror has a focal length of 56.5 cm.

a.) Determine the image distance.
cm

b.) Determine the magnification.


c.) If the object is 9.4 cm long, determine the image height.
cm

d.) Which of the following are true about the image? Choose all that apply.

1. The image is real.
2. The image is virtual.
3. The image is inverted.
4. The image is upright.


e.) Which of the following are true about the mirror? Choose all that apply.

1.The mirror is diverging.
2.The mirror is convex.
3.The mirror is concave.
4.The mirror is converging.

Explanation / Answer

The focal length of the mirror f = 56.5 cm

the object distance do = 93.6cm

(a) From mirror formula

      1/f = 1/di + 1/do

then image distance

     di = f do / do - f

        = (56.5)(93.6) / 93.6 - 56.5

        = 142.5 cm

(b) The magnification m = -di/do

                                     = - 142.5 / 93.6

                                      = - 1.52

(c) If the object heigth ho = 9.4cm

then image heigth  m = hi/ho

therefore   hi = (9.4)(- 1.52) = - 14.28cm

(d) The image is real and inverted

(e) The mirror is concave and converging

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