An Object at an Angle. A 16.0-cm-long pencil is placed at a 45.0° angle, with its center 15.0 cm above the optic axis and 45.0 cm from a lens with a 20.0-cm focal length as shown in Fig. P34.106 . (Note that the figure is not drawn to scale.) Assume that the diameter of the lens is large enough for the paraxial approximation to be valid. (a) Where is the image of the pencil? (Give the location of the images of the points A , B , and C on the object, which are located at the eraser, point, and center of the pencil, respectively.) (b) What is the length of the image (that is, the distance between the images of points A and B )? (c) Show the orientation of the image in a sketch. Figure P34.106
An Object at an Angle. A 16.0-cm-long pencil is placed at a 45.0° angle, with its center 15.0 cm above the optic axis and 45.0 cm from a lens with a 20.0-cm focal length as shown in Fig. P34.106 . (Note that the figure is not drawn to scale.) Assume that the diameter of the lens is large enough for the paraxial approximation to be valid. (a) Where is the image of the pencil? (Give the location of the images of the points A , B , and C on the object, which are located at the eraser, point, and center of the pencil, respectively.) (b) What is the length of the image (that is, the distance between the images of points A and B )? (c) Show the orientation of the image in a sketch. Figure P34.106
An Object at an Angle. A 16.0-cm-long pencil is placed at a 45.0° angle, with its center 15.0 cm above the optic axis and 45.0 cm from a lens with a 20.0-cm focal length as shown in Fig. P34.106. (Note that the figure is not drawn to scale.) Assume that the diameter of the lens is large enough for the paraxial approximation to be valid. (a) Where is the image of the pencil? (Give the location of the images of the points A, B, and C on the object, which are located at the eraser, point, and center of the pencil, respectively.) (b) What is the length of the image (that is, the distance between the images of points A and B)? (c) Show the orientation of the image in a sketch.
A 16.0-cm-long pencil is placed at a 45.0° angle, with its center 15.0 cm above the optic axis and 45.0 cm from a lens with a 20.0 cm focal length as shown in Fig. P34.106. (Note that the figure is not drawn to scale.) Assume that the diameter of the lens is large enough for the paraxial approximation to be valid. (a) Where is the image of the pencil? (Give the location of the images of the points A, B, and C on the object, which are located at the eraser, point, and center of the pencil, respectively.) (b) What is the length of the image (that is, the distance between the images of points A and B)? (c) Show the orientation of the image in a sketch.
A lens located in the y-z plane at x = 0 forms an image of an
arrow at x = x₂ = 101.3 cm. The tip of the object arrow is
located at (x,y) = (x₁, Y₁1) = (-49.9 cm, 5.32 cm). The index of
refraction of the lens is n = 1.49.
1) What is flens, the focal length of the lens? If the lens is converging flens is positive. It the lens is diverging, flens is
negative.
cm
Submit
2) What is y₂, the y-coordinate of the image of the tip of the arrow?
cm Submit
Virtual and upright
Virtual and inverted
(X₁,Y₁)
3) The lens is a plano-convex lens. What is Rens, the radius of curvature of the convex side of the lens?
cm Submit
X2
4) The object arrow is now moved to x = x1,new = -17.4 cm. What is X2,new, the new x-coordinate of the image of the
arrow?
cm Submit
5) Is the new image of the arrow real or virtual? Is it upright or inverted?
O Real and upright
Real and inverted
X
+
+
+
+
Two lenses are mounted d = 39 cm apart on an optical bench. The focal length of the first lens is f1 = 9.8 cm and that of the second lens is f2 = 3.1 cm. An object of height ho = 4.9 cm is placed at a distance of do = 24 cm in front of the first lens.
Now consider the two-lens system and the final image it forms, i.e., the image created by the second lens. What is the distance, in centimeters, between the object and its final image?
D =?
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