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# Ray Optics: spherical mirrors and lens

A thin double convex lens of focal length f = +15 centimeters is located at the origin of the x-axis, as shown in the attachment. An object of height 8 centimeters is placed 45 centimeters to the left of the lens.

a.) On the figure in attachment, draw a ray diagram to show the formation of the image by the lens. Clearly show principal rays. (any additional help of this part of the problem would be greatly appreciated since I am having a hard time understanding this part in particular)

b.) Calculate (do no measure) each of the following.
i. The position of the image formed by the lens
ii. The size of the image formed by the lens

c.) Describe briefly what would happen to the image formed by the lens if the top half of the lens were blocked so that no light could pass through.

A concave mirror with focal length f= +15 is placed at x=+30 centimeters.
d.) On the figure below, indicate the position of the image formed by the lens, and draw a ray diagram to show the formation of the image by the mirror. Clearly show principal rays.

#### Solution Preview

Please see the attached file.

A thin double convex lens of focal length f = +15 centimeters is located at the origin of the x-axis, as shown in the attachment. An object of height 8 centimeters is placed 45 centimeters to the left of the lens.

a.) On the figure in attachment, draw a ray diagram to show the formation of the image by the lens. Clearly show principal rays. (any additional help of this part of the problem would be greatly appreciated since I am having a hard time understanding this part in particular)
To draw the ...

#### Solution Summary

The ray diagrams are drawn and the position of image formed by a convex lens and by the combinations of lens and concave mirror is calculated.

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