Two thin lenses with a focal length of magnitude 12.0 cm, the first diverging and the second converging, are located 9.00 cm apart. An object 2.50 mm tall is placed 20.0 cm to the left of the first (diverging) lens. (a) How far from this first lens is the final image formed? (b) Is the final image real or virtual? (c) What is the height of the final image? Is it erect or inverted?
Q: An object is placed 17 cm in front of a converging lens with focal length 10 cm. A second lens,…
A: Given The first lens having the focal length is f1 = 10 cm. The second lens having the focal length…
Q: A converging lens with a focal length of 40 cm and a diverging lens with a focal length of -40 cm…
A:
Q: Consider the optical system shown in the figure. The lens and mirror are separated by d = 1.00 m and…
A: (A) Considering the lens first, let u1 be defined as the object distance. And v1 be defined as the…
Q: For safety reasons, you install a rear-window lens with a −0.305 m focal length in your van. Before…
A: (a) Thin Lens formula : 1f=1u+1v where v is image distance u is object distance Given : f…
Q: A thin plastic lens with index of refraction n = 1.65 has radii of curvature given by R₁ = -11.5 cm…
A:
Q: A thin lens is comprised of two spherical surfaces with radii of curvatures of 32.4 cm for the front…
A: The lens maker's formula is given as:1f=(n-1)(1R1-1R2)wheref is the focal length of the lensn is the…
Q: Two lenses are placed along the x axis, with a diverging lens of focal length -8.40 cm on the left…
A: Step 1:Step 2:Step 3:
Q: A 1.00-cm-high object is placed 3.95 cm to the left of a converging lens of focal length 8.50 cm. A…
A: Given The height of the object is, h1=1 cm The object distance for first lens is u1=-3.95 cm The…
Q: A double concave thin lens has surfaces with radius of curvature of magnitude 4 cm and 6 cm…
A:
Q: A converging lens (f = 12.0 cm) is held 8.90 cm in front of a newspaper, the print size of which has…
A: The relation between the focal length , object distance and image distance is given by- where v is…
Q: A thin lens is comprised of two spherical surfaces with radii of curvatures of 30.2cm for the front…
A: Given:Radii of curvatures,R1=30.2cmThe front side ,R2=-24.8cm Index of refraction,n=1.42object…
Q: An 8.0 cm tall object is 12.0 cm to the left of a converging lens with a focal length of 80 mm. A…
A: Given Data: For lens 1: Focal length, f1=80 mm=80×10-1 cm=8 cm Object distance, u=-12 cm Height of…
Q: An object has a height of 0.046 m and is held 0.220 m in front of a converging lens with a focal…
A: We use the real is positive sign convention
Q: Two thin lenses with focal length of magnitude 18.0 cm, the first diverging and the second…
A: Given: Focal length of both lenses, f=18 cm Separation b/w first diverging & second converging…
Q: A microscope has an objective lens with a focal length of 16.22 mm and an eyepiece with a focal…
A: The focal length of the objective lens is fo= 16.22 mm.The focal length of the eyepiece is fe= 9.64…
Q: Two lenses are mounted d = 28 cm apart on an optical bench. The focal length of the first lens is f1…
A: Distance between two lenses, d=28cmFocal length of the first lens, focal length of the second lens,…
Q: A spherical thin lens is made of glass with a refractive index of 1.500. The radii of curvature are…
A:
Q: A 5 cm high object is 12.0 cm in front of a system of two lenses, with f1 = 10.0 cm and f2 = -15.0…
A: Here, we use the image formula for lens and magnification to get the required values.
Q: An object is placed 15.0 cm from a first converging lens of focal length 10.0cm. A second converging…
A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…
Q: For safety reasons, you install a rear-window lens with a −0.299 m focal length in your van. Before…
A: safety reasons, you install a rear-window lens with a −0.299 m focal length in your van. Before…
Q: Two lenses, one converging of focal length 10.0 cm and one diverging of 5.0 cm, are placed 30.0 cm…
A:
Q: Two converging lenses, each of focal length 14.9 cm, are placed 39.6 cm apart, and an object is…
A:
Q: A convex lens of focal length 21.1 cm has an object located of height 8.4 cm on its principal axis,…
A:
Q: A converging lens has a focal length of 100.0 cm. A 12.0-cm-tall object is located 163.0 cm in front…
A: Answer:- Given Focal length (f) = + 100.0 cm Height of an object (h1) = +12.0 cm Object distance…
Q: A 2.0 cm tall object is 30 cm to the left of a lens with a focal length of 10 cm. A second lens…
A:
Q: A certain lens has a focal length of +20cm. How far from the lens must an object be placed so that…
A: Given:focal length, f = 20 cmImage distance,vObject distance,u = -1.37 u
Q: A lens forms an image of an object. The object is 16.0 cm from the lens. The image is 12.0 cm from…
A: Given that, Object distance, u = 16 cm Image distance, v = 12 cm The image is formed on the same…
Q: An object 1.50 cm high is held 2.95 cm from a person's cornea, and its reflected image is measured…
A: Given Information:- Height of the object is ho=1.50 cm Height of the image is hi=0.166 cm Object…
Q: Two lenses, converging with focal length f, = 22.0 cm and f2 =21.0 cm, are placed 65.0 cm apart. An…
A:
Q: An object of height 7.25 cm is placed at a distance of 22.5 cm from the convex lens. Whose focal…
A: Given Type of lens is convex the focal length of lens is 10.5 centimetre the height of object is…
Two thin lenses with a focal
length of magnitude 12.0 cm, the first diverging and the second converging,
are located 9.00 cm apart. An object 2.50 mm tall is placed
20.0 cm to the left of the first (diverging) lens. (a) How far from this
first lens is the final image formed? (b) Is the final image real or virtual?
(c) What is the height of the final image? Is it erect or inverted?
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 7 images
- An object is located 15.4 cm to the left of a diverging lens having a focal length f = −35.8 cm. (a) Determine the location of the image. distance in cm (b) Determine the magnification of the image.(a) A 1.00 cm-high object is placed 3.45 cm to the left of a converging lens of focal length 7.05 cm. A diverging lens of focal length -16.00 cm is 6.00 cm to the right of the converging lens. Find the position and height of the final image. position height cm in front of the second lens cm Is the image inverted or upright? upright ○ inverted Is the image real or virtual? real virtual (b) What If? If an image of opposite characteristic, i.e., virtual if the image in part (a) is real and real if the image in part (a) is virtual, is to be obtained, what is the minimum distance (in cm), and in which direction, that the object must be moved from its original position? distance cm direction to the leftOn one side of a diverging lens of focal length 42.7 cm, you position an object of height 3.27 cm somewhere along the principal axis. The resultant image has a height of 1.31 cm. How far from the lens is the object located? 51.1 cm 63.9 cm O 102.2 cm O 89.5 cm
- Problem 5: Two converging lenses, one with a focal length of 22.0 cm and the other with a focal length of 10.0 cm, are placed 25.0 cm apart with an object placed 50.0 cm in front of the converging lens. Determine (a) the position and (b) the magnification of the final image formed. (c) Show by ray tracing that the image is virtual or real, and determine the image distance and magnification. You must draw the ray diagram to scale to you may also use drawing/drafting software to draw the diagram.= 1.0). An object (A) is Assume that a thin lens (r, placed in the left side of lens (d = 45mm) and the image of the object is located in the right side of the lens at position (B) (d' = 90mm). 1) Compute the refraction index of the lens (n2); = -r2 = 40mm) is placed in the air (n 2) If placing another negative thin lens (f2 = -180mm) immediately behind the first lens to create a doublet lens in which the spacing between two lenses is zero (as shown in the right figure), what is the focal length of this doublet? 3) Where is the final image position (C) of the object (A) through this new doublet? (Note: Assuming this doublet lens is a combined thin lens too without considering its thickness).A microscope has an objective lens with a focal length of 16.22 mm and an eyepiece with a focal length of 9.28 mm. With the length of the barrel set at 35.0 cm, the diameter of a red blood cell's image subtends an angle of 1.43 mrad with the eye. If the final image distance is 35.0 cm from the eyepiece, what is the actual diameter of the red blood cell? Hint: To solve this equation, go back to basics and use the thin-lens equation. um
- = A leaf of length his positioned d below. Leaf d 70.3 cm in front of a converging lens with a focal length of 34.0 cm. An observer views the image of the leaf from a position 1.26 m behind the lens, as shown in the figure 1.26 m (a) What is the magnitude of the lateral magnification (the ratio of image size to the object size) produced by the lens? (b) What angular magnification is achieved by viewing the image of the leaf rather than viewing the leaf directly?In a two-lens system, the focl length of the lens is f1 = 4.00 cm, and that of then lens 2 is f2 = 8.00 cm. The distance between the lenses is 16 cm. If an object O is 2.00 cm high and is placed 6.00 cm in front of the lens 1, where is the final image through the two-lens system?A thin lens is comprised of two spherical surfaces with radii of curvatures of 32.4 cm for the front side and -26.9 cm for the back side. The material of which the lens is compose has an index of refraction of 1.49. What is the magnification of the image formed by an object placed 43.7cm from the lens?
- A concave cosmetic mirror has a focal length of 26 cmcm . A 3.0 cmcm -long mascara brush is held upright 13 cmcm from the mirror. Use ray tracing to determine the location of its image in cm. Use ray tracing to determine the height of its image in cm. Is the image upright or inverted? Real or virtual?A system of two lenses forms an image of an arrow at x = x3 = 57.4 cm. The first lens is a diverging lens located at x = 0 and has a focal length of magnitude f₁ = 11.5 cm. The second lens is located at x = x₂ = 25.4 cm and has an unknown focal length. The tip of the object arrow is located at (x,y) = (xo, Yo) = (-36 cm, 20.6 cm). (x,y) 1) What is x₁, the x-coordinate of image of the arrow formed by the first lens? cm Submit 2) What is y₁, the y-coordinate of the image of the tip of the arrow formed by the first lens? cm Submit X₂ Real and Inverted Real and Upright Virtual and Inverted Virtual and Upright cm Submit (+) 3) What is f2, the focal length of the second lens. If the lens is a converging lens, f2 is positive. If the lens is a diverging lens, f2 is negative. cm Submit + 4) What is y3, the y-coordinate of the image of the tip of the arrow formed by the two lens system? (+ 5) The positions of the two lenses are now interchnaged (i.e., the second lens is moved to x = 0 and the…