for the opticalsystem shown in the figure;

a determine the system matrix

b.find the location of the cardinal points

c.locate the cardinal points on the figure

d. make a ray diagram to find the image of an object 4cm infrontof the diverging lens.

e. describe the properties of the image (location,real orvirtual,erect or inverted,magnification)

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A 1.20-cm-tall object is 50.0 cm to the left of a converginglens (lens A) of focal length 40.0 cm. A second diverging lens(lens B) with focal length magnitude of 60.0 cm is located 300.0 cmto the right of the first lens along the same optic axis. The tickmarks are 25 cm apart.

(a) Find the location and height of the image formed by lens A,and sketch it on the diagram using principal rays.

(b)Find the location and height of the image produced by lens B,and sketch it on the diagram using principal rays.

(c)For each lens, state whether each image is real orvirtual, and whether each is erect orinverted.

(d)Compute the overall magnification of the two-lens system.(Figure below not drawn to scale.)

An object is placed in front of a diverging lens with a focallengthof 18.1 cm. For eachobject distance, find the image distance andthe magnification.Describe each image.

real	virtual
upright	inverted

real	virtual
upright	inverted

location

magnification

nature

real	virtual
upright	inverted

A diverging lens has a focal length of 20.0 cm. Construct accurate ray diagrams for object distances of (a) 40.0cm and (b) 10.0 cm. In each case determine the location of the image from the diagram and the image magnification, and state whether the image is upright or inverted. (c) Estimate the magnitude of uncertainity in locating the the points in the graph.

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