An optical technician mounts two thin lenses along a single optical axis (the lenses are at right angles to the line connecting them, and they appear concentric when viewed from either end). The lenses are identical, each with a positive (converging) focal length of +14.8 cm. They are separated by a distance of 39.4 cm. Lens 1 is to the left of Lens 2. In order to evaluate the lens combination as a single optical instrument, the technician places an object 30.0 cm in front of (to the left of) Lens 1. (a) What is the final image's distance (in cm) from Lens 2? (Omit any sign that may result from your calculation.) Review the thin-lens equation and rearrange it to yield image location when object location and focal length are known. Use the equation twice: first to locate the image formed by Lens 1, and then to locate the image formed by Lens 2 (using the image from Lens 1 as an object for Lens 2). Double-check your arithmetic and keep close track of signs. cm (b) Where is the final image located? between Lens 1 and Lens 2behind (to the right of) Lens 2 in front of (to the left of) Lens 1 This problem relies upon applying the thin-lens equation twice, with the image made by the first lens serving as the object for the second. Check your arithmetic for each application of the thin-lens equation. Pay close attention to signs. Be sure that you subtracted the first image position from the distance separating the lenses, when determining the location of the "object" for Lens 2. (c) What is the overall magnification of the lens pair, considered as a single optical instrument?
An optical technician mounts two thin lenses along a single optical axis (the lenses are at right angles to the line connecting them, and they appear concentric when viewed from either end). The lenses are identical, each with a positive (converging) focal length of +14.8 cm. They are separated by a distance of 39.4 cm. Lens 1 is to the left of Lens 2. In order to evaluate the lens combination as a single optical instrument, the technician places an object 30.0 cm in front of (to the left of) Lens 1. (a) What is the final image's distance (in cm) from Lens 2? (Omit any sign that may result from your calculation.) Review the thin-lens equation and rearrange it to yield image location when object location and focal length are known. Use the equation twice: first to locate the image formed by Lens 1, and then to locate the image formed by Lens 2 (using the image from Lens 1 as an object for Lens 2). Double-check your arithmetic and keep close track of signs. cm (b) Where is the final image located? between Lens 1 and Lens 2behind (to the right of) Lens 2 in front of (to the left of) Lens 1 This problem relies upon applying the thin-lens equation twice, with the image made by the first lens serving as the object for the second. Check your arithmetic for each application of the thin-lens equation. Pay close attention to signs. Be sure that you subtracted the first image position from the distance separating the lenses, when determining the location of the "object" for Lens 2. (c) What is the overall magnification of the lens pair, considered as a single optical instrument?
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An optical technician mounts two thin lenses along a single optical axis (the lenses are at right angles to the line connecting them, and they appear concentric when viewed from either end). The lenses are identical, each with a positive (converging) focal length of +14.8 cm. They are separated by a distance of 39.4 cm. Lens 1 is to the left of Lens 2.
In order to evaluate the lens combination as a single optical instrument, the technician places an object 30.0 cm in front of (to the left of) Lens 1.
(a)
What is the final image's distance (in cm) from Lens 2? (Omit any sign that may result from your calculation.)
Review the thin-lens equation and rearrange it to yield image location when object location and focal length are known. Use the equation twice: first to locate the image formed by Lens 1, and then to locate the image formed by Lens 2 (using the image from Lens 1 as an object for Lens 2). Double-check your arithmetic and keep close track of signs. cm
(b)
Where is the final image located?
between Lens 1 and Lens 2behind (to the right of) Lens 2 in front of (to the left of) Lens 1
This problem relies upon applying the thin-lens equation twice, with the image made by the first lens serving as the object for the second. Check your arithmetic for each application of the thin-lens equation. Pay close attention to signs. Be sure that you subtracted the first image position from the distance separating the lenses, when determining the location of the "object" for Lens 2.
(c)
What is the overall magnification of the lens pair, considered as a single optical instrument?
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