A 1.00-cm-tall object is 105 cm in front of a converging lens that has a 30 cm f

Question

A 1.00-cm-tall object is 105 cm in front of a converging lens that has a 30 cm focal length.

(a) Use ray tracing to find the position and height of the image. To do this accurately, use a ruler or paper with a grid. Determine the image distance and image height by making measurements on your diagram .

(b) Calculate the image position and height (using the proper sign convention to indicate whether the image is upright or inverted). Compare with your ray-tracing answers in part a.

position =....... cm
height = ........ cm

Explanation / Answer

mirror formula 1/f=1/u+1/v since object distance=105cm focal length=30cm -1/30=-1/105+1/v 1/v=-1/30+1/105 1/v=-0.0238 v=-42cm from optical center, since negative sign indicates image is formed on same side as object placed but inverted,as this is concave mirror. magnification factor=|v/u| =42/105

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