Two convex thin lenses with focal lengths 10.0 cm and 20.0 cm are aligned on a common axis,...
Question:
Two convex thin lenses with focal lengths 10.0 cm and 20.0 cm are aligned on a common axis, running left to right, the 10-cm lens being on the left. A distance of 20.0 cm separates the lenses. An object is located at a distance of 15.0 cm to the left of the 10-cm lens. Where will the final image appear as measured from the 20-cm lens?
a. -13.3 cm
b. -6.67 cm
c. +6.67 cm
d. +13.3 cm
Combination of lenses:
When two thin lenses are arranged coaxially, the image formed by the first lens becomes the object for a second lens system, and the two systems act as a single optical system creating the final image from the original object.
Answer and Explanation: 1
Become a Study.com member to unlock this answer! Create your account
View this answerGiven data:
- Focal length of first convex lens {eq}{f_1} = 10.0\;{\rm{cm}} {/eq}.
- Focal length of second convex lens {eq}{f_2} =...
See full answer below.
Ask a question
Our experts can answer your tough homework and study questions.
Ask a question Ask a questionSearch Answers
Learn more about this topic:

from
Chapter 21 / Lesson 9Learn the definition of a lens and the different types of lenses. Understand what convex lens and concave lens are and explore how to use the thin lens equation.
Related to this Question
- An object is placed 10.3 cm to the left of a diverging lens of focal length -5.18 cm. A converging lens of focal length 11.6 cm has placed a distance of d to the right of the diverging lens. Find the
- An object is placed 10.3 cm to the left of a diverging lens of focal length -5.94 cm. A converging lens of focal length 12.5 cm is placed a distance d to the right of the diverging lens. Find the dist
- Two converging lenses are placed 36.5cm apart. The focal length of the lens on the right is 20.0cm, and the focal length of the lens on the left is 16.0cm. An object is placed to the left of the 16.0c
- An object is placed 20 cm to the left of a converging lens of focal length 27 cm. A diverging lens of focal length 27 cm. A diverging lens of focal length 12 cm is 25 cm to the right of the converging
- An object is placed 20 cm to the left of a converging lens of focal length 27 cm. A diverging lens of focal length 10 cm is 25 cm to the right of the converging lens
- A diverging lens with a focal length of -14 cm is placed 15 cm to the right of a converging lens with a focal length of 18 cm. An object is placed 31 cm to the left of the converging lens. (a) Where w
- A diverging lens with a focal length of -15 cm is placed 13 cm to the right of a converging lens with a focal length of 19 cm. An object is placed 32 cm to the left of the converging lens. Where will
- A diverging lens with a focal length of -13 cm is placed 12 cm to the right of a converging lens with a focal length of 19 cm . An object is placed 33 cm to the left of the converging lens. If the fin
- A 1.20 cm tall object is 50.0 cm to the left of a converging lens (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 cm to the right of the first lens along the same optic axis. (a) F
- A converging lens having a focal length of + 20 cm is located 10 cm to the left of a diverging lens having a focal length of -15 cm. If an object is located 40 cm to the left of the converging lens,
- A converging lens of focal length 8.040 cm is 20.0 cm to the left of a diverging lens of focal length -6.91 cm . A coin is placed 12.5 cm to the left of the converging lens. find di to the right of th
- A diverging lens (f_1 = -12.0 cm) is located 52.0 cm to the left of a converging lens (f_2 = 34.5 cm). A 3.5 cm tall object stands to the left of the diverging lens, exactly at its focal point. Determ
- An object is placed 10 cm to the left of a converging lens (Lens 1) with a focal length of 8.0 cm. Another converging lens (Lens 2) with a focal length of 4.0 cm is located 43 cm to the right of the f
- An object is placed 9.0 cm to the left of a converging lens (Lens 1) with a focal length of 6.0 cm. Another converging lens (Lens 2) with a focal length of 4.0 cm is located 21 cm to the right of the
- A 1.00 cm high object is placed 3.10 cm to the left of a converging lens of focal length 7.20 cm. A diverging lens of focal length -16.00 cm is 6.00 cm to the right of the converging lens. (a) Find th
- An object is 30.0 cm to the left of a convex lens with a focal length of +8.0 cm. Calculate the distance from the lens. Would it be upright or inverted?
- An object is placed 11.3 cm to the left of a diverging lens of focal length -6.51 cm. A converging lens of focal length 11.6 cm is placed a distance of d to the right of the diverging lens. Find the d
- A 1.2 cm tall object is 50 cm to the left of a converging lens of focal length 40.0 cm. A second diverging lens, this one having a focal length of 60.0 cm, is located 300.0 cm to the right of the firs
- A diverging lens (f= -11.0 cm) is located 20.0 cm to the left of a converging lens (f= 31.0 cm). A 2.90-cm-tall object stands to the left of the diverging lens, exactly at its focal point. (a) Determ
- A small object is 20 cm to the left of a thin converging lens of focal length 10 cm. To the right of the lens is a convex mirror with a 10 cm radius of curvature which crosses the principal axis at F2, the second focal point of the lens. a) Locate and des
- A 1.00-cm-high object is placed 4.50 cm to the left of a converging lens of focal length 8.80 cm. A diverging lens of focal length ?16.00 cm is 6.00 cm to the right of the converging lens. Find the po
- Two converging lenses have the same focal length of 5.00 cm. They have a common principal axis and are separated by 25.8 cm. An object is located 10.0 cm to the left of the left-hand lens. What is the
- Two converging lenses have the same focal length of 5.00 cm. They have a common principal axis and are separated by 29.5 cm. An object is located 10.0 cm to the left of the left-hand lens. What is the
- A 1 cm high object is placed 3.25 cm to the left of a converging lens of focal length 7.15 cm. A diverging lens of focal length 16 cm is 6 cm to the right of the converging lens. Find the position and
- An object is placed 20 cm to the left of a converging lens of focal length 28 cm. A diverging lens of focal length 10 cm is 25 cm to the right of the converging lens. Find the position and the magnifi
- A 1.20 cm tall object is 50.0 cm to the left of a converging lens of focal length 40,0 cm. A second, diverging, lens this one having a focal length of magnitude 60,0 cm is located 300.0 cm to the righ
- An object is placed 18 cm to the left of a converging lens of focal length 29 cm. A diverging lens of focal length 11 cm is 25 cm to the right of the converging lens. Find the position and magnificati
- A converging lens with a focal length of +22.0 cm is located 10.0 cm to the left of a diverging lens having a focal length of -17.0 cm. If an object is located 40.0 cm to the left of the converging le
- An object is placed 19 cm to the left of a converging lens of focal length 28 cm. A diverging lens of focal length 8 cm is 25 cm to the right of the converging lens. Find the position and magnificatio
- Two lenses, each with |f| = 5.00 cm, are positioned 5.00 cm apart as shown. The lens on the left is concave (diverging) and the one on the right is convex (converging). An object 1.00 cm high is place
- Two converging lenses are placed 35 cm apart. The focal length of the lens on the right is 23 cm and the focal length of the lens on the left is 18 cm. An object is placed to the left of the 15 cm focal-length lens. A final image from both lenses is inver
- Two lenses are placed at a distance of 20.0 cm apart. The leftmost lens is a converging lens with a focal length of 6 cm, while the second lens is a diverging lens with a focal length of 12 cm. If an object is placed 5 cm to the left of the converging len
- Two converging lenses are placed 40.0 cm apart The focal length of the lens on the right is 210 cm and the focal length of the lens on the left is 120 cm. An object is placed to the left of the 120 cm focal length lens. A final image from both lenses is i
- An object with a height of 8 cm is 28 cm to the left of a converging lens with a focal length of 20 cm. A diverging lens with a focal length of -45 cm and 150 cm to the right of first lens. (a) Using
- An object is placed 20.0 cm to the left of a convex lens with a focal length of +8.0 cm. Where is the image of the object? A) 28 cm to the right of the lens B) 13 cm to the left of the lens C) 13 c
- A 2.05 cm tall object is placed 30.0 cm to the left of a converging lens with a focal length of 21.0 cm. A diverging lens, with a focal length of -42.5 cm, is placed 30.0 cm to the right of the first
- A converging lens with focal length 12 cm and a diverging lens with focal length 15 cm are located 24 cm apart. A 5 cm high object is placed 10 cm to the left of the diverging lens. A plane mirror is
- Two thin lenses are used to make an optical instrument. The lenses are 200 cm apart. The object is 50.0 cm to the left of the first(leftmost) lens which has a focal length of 30.0 cm. The second(rightmost) lens has a focal length of 25.0 cm. a) Locate the
- Two converging lenses are separated by 24.80 cm. The focal length of each lens is 11.80 cm. An object is placed 37.00 cm to the left of the lens that is on the left. Determine the final image distance relative to the lens on the right. __ cm
- Two converging lenses are separated by 24.00 cm. The focal length of each lens is 12.00 cm. An object is placed 36.00 cm to the left of the lens that is on the left. Determine the final image distance relative to the lens on the right.
- Two converging lenses ( f 1 = 8.80 cm and f 2 = 5.90 cm) are separated by 17.7 cm. The lens on the left side has the longer focal length. An object stands at 11.8 cm to the left-side lens in the com
- A converging lens is placed at x = 0, a distance d = 10.0 cm to the left of a diverging lens. An object is located at x = -2.00 cm to the to the left of the converging lens and the focal lengths of the converging and diverging lenses are 4.00 cm and -8.0
- A converging lens with a focal length of 12.0 cm is placed 30.0 cm to the left of a diverging lens with a focal length of -8.00 cm. A candle is placed 36.0 cm to the left of the converging lens. a.) W
- A 1.70 cm tall object is 59.0 cm to the left of a converging lens of focal length 40.0 cm. A second converging lens this one having a focal length of 60.0 cm is located 300 cm to the right of the first lens along the same optic axis. a. Find the location
- A converging lens and a diverging lens are placed 40 cm apart. The focal lengths of the converging and diverging lens are 8 cm and 10 cm respectively. An object is placed 12 cm to the left of the conv
- A 2.6-cm-tall object is located 4.7 cm to the left of a converging lens with a focal length of 5.7 cm. A diverging lens, of focal length -7.6 cm, is 13 cm to the right of the first lens. Part A) Find
- An object 3.3 mm high is on the optical axis of two lenses with focal lengths f1 = +5.0 cm, f2 = +10 cm. The object is 6.3 cm to the left of the first lens, and the second lens is 31 cm to the right of the first lens. Find the position (relative to the se
- Two lenses that are 35 cm apart are used to form an image, as shown below. Lens 1 is a diverging lens and has a focal length f1 = -7.0 cm, and lens 2 is a converging lens with a focal length f2 = 14 cm. The object is placed 24 cm to the left of lens 1. Wh
- Two lenses that are 35 cm apart are used to form an image, as shown. Lens 1 is a diverging lens and has a focal length f1 = -7.0 cm, and lens 2 is a converging lens with a focal length f2 = 14 cm. The object is placed 24 cm to the left of lens 1. Sketch t
- Two converging lenses (f1= 9.00 cm and f2 = 6.00 cm) are separated by 18.0 cm. The lens on the left has the longer focal length. An object stands 12.0 cm to the left of the left-hand lens in the combination. (a) Locate the final image relative to the lens
- Two thin lenses are separated by 11 cm. Lens 1 is a diverging lens and its focal length is -2 cm. Lens 2 is a converging lens with a focal length of 7 cm. An object is located 8 cm to the left of lens 1. a. If lens 2 were not present, would the image form
- A diverging lens (f = -10cm) is located 20.0 cm to the left of a converging lens (f = 30.0 cm). A 3.00 cm tall object stands to the left of the diverging lens, exactly at its focal point. (A) Determine the distance of the final image relative to the conve
- A converging lens with a focal length of 14.0 cm and a diverging lens is placed 26.0 cm apart, with the converging lens on the left. A 2.00 cm high object is placed 22.0 cm to the left of the converging lens. The final image is 34.0 cm to the left of the
- A diverging lens with a focal length of -16 cm and a converging lens with a focal length of 13 cm have a common central axis. Their separation is 13 cm. An object of height 4.0 cm is 10 cm in front of
- A diverging lens with a focal length of -22 cm and a converging lens with a focal length of 19 cm have a common central axis. Their separation is 19 cm. An object of height 1.0 cm is 10 cm in front of
- Two converging lenses of focal lengths 9.0 cm are placed one after another, with a distance of 15 cm between the two. A 2.0 cm tall object is placed 36 cm to the left of the first lens. (a) Find the p
- Two identical diverging lenses are separated by 15.5 cm. The focal length of each lens is -14.0 cm. An object is located 4.00 cm to the left of the lens that is on the left. Determine the final image distance relative to the lens on the right.
- A couple of lenses are on an axis. Lens 1 has f1 = +8.00 cm and is on the left, while lens 2 has f2 = +5.00 cm. There is 16.0 cm between them. An object stands 11.0 cm to the left of lens 1. Calculate the final image distance relative to the lens on the r
- Two converging lenses are placed 60 cm apart, with an object 20 cm in front of lens 1 on the left. \\ A. If lens 1 has a focal length of 10 cm, locate the image formed by this lens and determine its magnification. B. If lens 2 on the right has a focal l
- Two converging lenses are placed 21.8 cm apart with an object 32.7 cm in front of lens 1 on the left. a. If lens 1 has a focal length of 10.9 cm, locate the image formed by this lens and determine its magnification. b. If lens 2 on the right has a focal l
- A diverging lens (f = 12.0 cm) is located 23.0 cm to the left of a converging lens (f = 31.0 cm). A 2.80-cm-tall object stands to the left of the diverging lens, exactly at its focal point. \\ (a) Determine the distance of the final image relative to the
- A diverging lens (f = -11 cm) is located 20.0 cm to the left of a converging lens (f = 33.0 cm). A 3.00 cm tall object stands to the left of the diverging lens, exactly at its focal point. (a) Determine the distance of the final image relative to the conv
- A 15-cm-focal-length converging lens is 18 cm to the right of a 7.0-cm-focal-length converging lens. A 3.3-cm-tall object is distance L to the left of the first lens. a) For what value of L is the fi
- A diverging lens (f1 = -10.0 cm) is located 46.0 cm to the left of a converging lens (f2 = 35.0 cm). A 4.0-cm-tall object stands to the left of the diverging lens, exactly at its focal point. Determin
- Two converging lenses (f1 = 9.50 cm and f2 = 6.30 cm) are separated by 19.0 cm. The lens on the left has the longer focal length. An object stands 10.0 cm to the left of the left-hand lens in the combination. (a) Locate the final image relative to the le
- An object 5.9 mm high is on the optical axis of two lenses with focal lengths f1 = +5.0 cm, f2 = +10 cm. The object is 6.2 cm to the left of the first lens, and the second lens is 34 cm to the right of the first lens. Find the position (relative to the se
- An object 4.2 mm high is on the optical axis of two lenses with focal lengths f1 = +5.0 cm, f2 = +10 cm. The object is 6.4 cm to the left of the first lens, and the second lens is 34 cm to the right of the first lens. Find the position (relative to the se
- Two converging lenses are separated by 23.40 cm. The focal length of each lens is 12.20 cm. An object is placed 35.00 cm to the left of the lens that is on the left. Determine the final image distance
- Two converging lenses are separated by 24.00 cm. The focal length of each lens is 16.00 cm. An object is placed 31.00 cm to the left of the lens that is on the left. Determine the final image distance
- Two converging lenses are separated by 24.00 cm. The focal length of each lens is 11.00 cm. An object is placed 34.00 cm to the left of the lens that is on the left. Determine the final image distance
- A couple of lenses are on an axis. Lens 1 has f_1 = +8.00 cm and is on the left, while lens 2 has f_2 = +5.00 cm. There is 16.0 cm between them. An object stands 11.0 cm to the left of the lens 1. a) Graphically locate the image. Label your lenses, object
- A couple of lenses are on an axis. Lens 1 has f1 = +8.00 cm and is on the left, while lens 2 has f2 = +5.00 cm. There is 16.0 cm between them. An object stands 11.0 cm to the left of lens 1. Calculate the overall magnification.
- Two lenses that are 35 cm apart are used to form an image, as shown in the figure. Lens 1 is a diverging lens and has a focal length f1 = -7.0 cm, and lens 2 is a converging lens with a focal length f2 = 14 cm. The object is placed 24 cm to the left of le
- Two lenses that are 35 cm apart are used to form an image, as shown in the figure below. Lens 1 is a diverging lens and has a focal length f1 = -7.0 cm, and lens 2 is a converging lens with a focal length f2 = 14 cm. The object is placed 24 cm to the left
- Two converging lenses of focal lengths f_1 = 10 cm and f_2 = 5 cm are placed at a distance of 50 cm from each other. Lens with f_1 is on the left side, while the other is on the right side. An object
- A converging lens with a focal length of 50 cm is placed 40 cm to the left of a diverging lens with a focal length of -20 cm. An object with a height of 1.5 cm is placed 75 cm to the left of the converging lens. (a) Where is the final image formed? (b)
- An object of 5.9 mm high is on the optical axis of two lenses with focal lengths f1 = +5.0 cm, f2 = +10 cm. The object is 6.2 cm to the left of the first lens, and the second lens is 34 cm to the right of the first lens. Find the position (relative to the
- Two identical converging lenses of focal length 20 cm are separated by a distance 25 cm. A 5 cm tall object is placed 4 cm to the left of the leftmost lens. (a) Determine the final image distance rela
- A converging lens with a focal length of 35 cm is placed 105 cm to the left of a diverging lens, which has a focal length of -35 cm. A small object with a height of 9.0 mm is placed 50 cm to the left of the converging lens. (a) Where is the final image f
- A converging lens with the focal length of 45 cm is placed 20 cm to the left of a converging lens that has a focal length of 15 cm. An object with a height of 1.10 cm is placed 25 cm to the left of the 45-cm lens. (a) Where is the final image formed? (b)
- Two thin lenses with a focal length of magnitude 21.0 cm, the first diverging and the second converging, are located 15.8 cm apart. An object 3.10 mm tall is placed 35.0 cm to the left of the first (diverging) lens.
- A convex lens, made from a material of index of refraction 1.5, has radii of R_1 = 30 cm and R_2 = 60 cm. If an object is placed 50 cm to the left of this lens and a diverging lens is placed 140 cm to
- A small object is placed to the left of a convex lens and on its optical axis. The object is 30 cm from the lens, which has a focal length of 47 cm. If the object is moved to a position 40 cm to the l
- A small object is placed to the left of a convex lens and on its optical axis. The object is 30 cm from the lens, which has a focal length of 41 cm. If the object is moved to a position 49 cm to the l
- A small object is placed to the left of a convex lens and on its optical axis. The object is 30 cm from the lens, which has a focal length of 40 cm. If the object is moved to a position 46 cm to the l
- An object is placed 12.0 cm to the left of a diverging lens of focal length, -6.00 cm. A converging lens of focal length, 12.0 cm is placed a distance d to the right of the diverging lens. Find the distance, d, so that the final image is at infinity.
- An object 2.00 cm high is placed 40.0 cm to the left of a converging lens having a focal length of 30.0 cm. A diverging lens with a focal length of -20.0 cm is placed 110 cm to the right of the conver
- The focal lengths of a converging lens and a diverging lens are 15.0 and -20.0 cm. The distance between them is 50.0 cm. An object of height 3.00 cm is placed 10.0 cm to the left of the converging lens. \\ A. Determine the final image position with respe
- Two identical diverging lenses are separated by 18 cm. The focal length of each lens is -8.4 cm. An object is located 4.2 cm to the left of the lens that is on the left.
- An upright object with a height of 20 cm is placed 40 cm to the left of a diverging lens with a focal length of -25 cm. A concave spherical mirror with a focal length 15 cm is placed 30 cm to the righ
- A diverging lens (f1 = -12.0 cm) is located 24.0 cm to the left of a converging lens (f2 = 23.0 cm). A 3.0-cm-tall object stands to the left of the diverging lens, exactly at its focal point. What is the height of the final image? (Include proper algebrai
- A converging lens has a focal length of 15.0 cm . For each of two objects located to the left of the lens, one at a distance of s1 = 19.0 cm and the other at a distance of s2 = 6.50 cm , determine the
- A converging lens has a focal length of 10.5 cm . For each of two objects located to the left of the lens, one at a distance of s1 = 23.0 cm and the other at a distance of s2 = 7.00 cm , determine the
- A converging lens (f_1 = 11.5 cm) is located 28.8 cm to the left of a diverging lens (f_2 = -6.42 cm). A postage stamp is placed 34.8 cm to the left of the converging lens. Find the overall magnification.
- A diverging lens (f_1 = -11.5 cm) is located 25.0 cm to the left of a converging lens (f_2 = 20.0 cm). A 3.5-cm-tall object stands to the left of the diverging lens, exactly at its focal point. What is the height of the final image?
- A converging lens with a focal length of 8.09 cm is 21.4 cm to the left of a diverging lens with a focal length of -5.92 cm. A coin is placed 12.1 cm to the left of the converging lens. What is the magnification of the coin's final image?