# Project #3029 - Optics

(4.0.6) A fork 18.0 cm long is held perpendicular to the optic axis of a concave mirror with

(a) How far from the mirror should the fork be held to produce an upright image 24.0 cm long?

(b) What is the image distance?

(c) Draw a ray diagram illustrating the formation of this image.

(4.0.7) Janice’s pinky is 5.85 cm long. When she holds her pinky a certain distance from a

spherical mirror, an inverted image 2.10 cm long is formed. When she moves her finger 1.20 cm

closer to the mirror, the size of the inverted image increases to 3.00 cm.

(a) Find the original distance between Janice’s pinky and the mirror, and the focal length of the

mirror.

(b) Draw a ray diagram showing the formation of the image with Janice’s pinky in the original

position.

(4.0.9) A woman at a carnival funhouse is standing between a convex mirror and a concave

mirror which are 3.00 m apart. The woman is 2.00 m from the convex mirror. The radius of

curvature of the convex mirror is 2.00m. An upright image formed in one of the mirrors is

reflected by the other mirror, making a final image at the position of the original woman. The

woman is 1.70 m tall.

(a) Do two separate ray tracing diagrams, showing the formation of both images, to show how

this is possible.

(b) Find the height and image distance for the first image. What is the x-coordinate of the first

image, using the x-axis shown on the diagram?

(c) Find the radius of curvature of the concave mirror.

(d) Find the position and height of the final image. What is the x-coordinate of the second

image?

(5.0.1) A penny is embedded in a glass sphere with index of refraction 1.50. The radius of

curvature of the sphere is 4.00 cm. The actual diameter of the penny is 1.90 cm. However, as

viewed by an observer looking into the glass sphere, the penny appears to have a diameter of

2.10 cm.

(a) How far is the penny from the surface of the sphere?

(b) Draw a ray diagram showing the formation of the image.

(5.0.2) A pelican flies 5.00 m above the surface of a calm lake, looking fish to eat. A trout directly beneath the pelican is 1.50 m beneath the surface of the lake.

(a) How far above the surface does the pelican appear to be, as seen by the trout? Draw a ray diagram showing the formation of this image.

(b) How far beneath the surface does the trout appear to be, as seen by the pelican? Draw a ray diagram showing the formation of this image.

(c) The pelican dives towards the trout. When the pelican is 2.00 m above the water, its apparent speed, as seen by the trout, is 4.00 m/s. What is the actual speed of the pelican?

 Subject Science Due By (Pacific Time) 03/14/2013 11:00 pm
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