9) A converging lens has a focal length of 19.3 cm. Give the image distance and

Question

9) A converging lens has a focal length of 19.3 cm. Give the image distance and magnification forthe following object distances, using the correct sign conventions.Select all options that correctly describe the image. If the imageis located at infinity, enter "infinity" for the image distance andfor the magnification, and select "no image is formed". (a) object distance = 39.2 cm
image distance cm
magnification
X
inverted real side oflens opposite the object upright virtual no imageis formed same side of lens as theobject (a) object distance = 39.2 cm
image distance cm
magnification
X
inverted real side oflens opposite the object upright virtual no imageis formed same side of lens as theobject inverted real side oflens opposite the object upright virtual no imageis formed same side of lens as theobject inverted real side oflens opposite the object upright virtual no imageis formed same side of lens as theobject

Explanation / Answer

Given focal length of the cnverging lens f = 19.3 cm object distance   do   =39.2 cm Thin lens equation is             1 / do + 1 / d i   = 1 /f            1 /   39.2 + 1 /di    = 1 / 19.3                    1 / d i    = 1 /19.3   - 1 / 39.2 cm      image distance   d i   = 38.01 cm   the image is formed opposite to theobject      So the image   is realimage   Magnification   M = - di   / d o                                 =   - 38.01 / 39.2   = -0.971 the image   is inverted with respectiveto the object

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