Figure P35.33 R
Q: A camper is trying to start a fire by focusing sunlight onto a piece of paper. The diameter of the…
A: Solution: Given: d1 = diameter of sun = 1.39 x 109 m u = distance between sun and earth = 1.50 x…
Q: A laser beam of diameter d₁ =1.4 mm is directed along the optical axis of a thin lens of focal…
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Q: Two rays traveling parallel to the principal axis strike a large plano-convex lens having a…
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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: 7. A light bulb is placed B cm from a convex lens having a D m focal length. Use ray tracing to get…
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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: An object, represented by a gray arrow, is placed in front of aplane mirror. Which of the diagrams…
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Q: The focal length of a converging lens in air is +148.6 cm. The radii of curvature of the surfaces…
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Q: A diverging lens has a focal length of 20.6 cm. An object 1.71 cm in height is placed 131 cm in…
A: The lens equation is 1f=1v-1u The magnification is given by m =vu=h'h where, u is the distance of…
Q: A converging lens has a focal length of 4.20 cm. It forms an inverted image with an image distance…
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Q: 71. A light ray enters a rectangular block of plastic at an angle & 1 ! 45.0° and emerges at an…
A: Given Angle θ1 = 45° Angle θ2 = 76°
Q: The image of the coin in the figure is magnified by a factor of M = 2.5 times, and is a distance d =…
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Q: You put a mirror at the bottom of a 2.1-m-deep pool. A laser beam enters the water at 26 ° relative…
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Q: You are designing lenses that consist of small double convex pieces of plastic having surfaces with…
A: Using lens makers equation 1f=n-11R1+1R2
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Q: The magnitudes of the radii of curvature are 31.8 cm and 41.2 cm for the two faces of a biconcave…
A: The magnitude of radii of curvature are,The index of refraction of violet light is .The index of…
Q: Two converging lenses having focal lengths of f 10.0 cm and fa 20.0 cm are placed d 50.0 cm apart,…
A: The objective of the question is to find the position of the object with respect to the first lens,…
Q: Two identical converging lenses having focal lengths of 20.0 cm. They are initially separated by a…
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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: A thin lens is constructed by shaping a piece of glass into circular curvatures on both sides.…
A: Given: Left hand radius of lens is R1=3.41cm. Right hand radius of lens is R2=-9.33cm. Refractive…
Q: You are designing a symmetric double convex lens that is made of glass with index of refraction…
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Q: You are given two converging lenses with focal lengths, 15.0 cm and 1.00 cm hollow tube. You can put…
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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: A lens has one concave surface with a radius of curvature RA = 6.0 cm and one convex surface with…
A: Here R1= radius of curvature of first lens= -6 cm = -0.06 m ( as concave lens) R2= +8cm = 0.08 m .
Q: A laser beam of diameter d₁ = 1.4 mm is directed along the optical axis of a thin lens of focal…
A: (a) The beam will be focused at a distance of 5.4 cm from the first lens.(b) The focal length of the…
Q: A diverging lens has a front surface with a radius of |R,| = 10 cm (c.o.c. in front of lens), and a…
A: Given: The radius R1 is 10 cm. The radius R2 is 15 cm. The refractive index is 1.50.
Q: The object in Figure P23.52 is midwaybetween the lens and the mirror,which are separated by a…
A: a)Write down the mirror equation
Q: Two rays traveling parallel to the principal axis strike a large plano-convex lens having a…
A: The Refractive index of a plano-convex lens is 1.60 The radius of curvature of the face 21.0 cm…
Q: A biconvex lens has two distinct radii of curvature. One face has a radius of curvature of magnitude…
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Q: A thin lens is comprised of two spherical surfaces with radii of curvatures of 33.6 cm for the front…
A: The lens maker's formula is given as:1f=(n-1)(1R1-1R2)wheref is focal length of the lensn is the…
Q: You are using a microscope with a 10× eyepiece. What focal length of the objective lens will give a…
A: Formula of magnification of compound microscope is as follows; m=memo…
Q: A symmetric double convex lens with a focal length of 26.0 cmcm is to be made from glass with an…
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Two rays traveling parallel to the principal axis strike a large plano-convex lens having
a refractive index of 1.60 (Fig. P35.33). If the convex face is spherical, a ray near the
edge does not pass through the focal point (spherical aberration occurs). Assume this
face has a radius of curvature of R = 20.0 cm and the two rays are at distances h1 =
0.500 cm and h2 = 12.0 cm from the principal axis. Find the difference ∆x in the
positions where each crosses the principal axis.
Figure P35.33
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- MCQs Determine where the position and size, a shadow of a large flower 7.6 cm high which is placed 1.00 m from the converging camera lens with a focal length of +50.0 mm A. The shadow is 52.6 mm and the image height is 4.0 mm B. The shadow is 34.6 mm and the image height is 2.4 mm C. The shadow is 32.6 mm and the image height is 4.2 mm D. The shadow is 54.6 mm and the image height is 2.4 mmTwo 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 =?Compute the focal length of a diverging thin lens made of flint glass, whose refractive index is 1.66 and is immersed in air having refractive index 1. The radii of the spherical surfaces of the lens are 10 cm and 20 cm. Select one: O -30 cm O O -10 cm 30 cm 10 cm
- A contact lens is made of plastic with an index of refraction of 1.40. The lens has an outer radius of curvature of +1.92 cm and an inner radius of curvature of +2.47 cm. What is the focal length of the lens? cmWhat is the focal length of the lens in your eye when you can focus on an object at your near point? Assume that the distance from your lens to the back of your eye is 2.0 cm, that your near point is 21 cm in front of your lens, and that the liquid behind the lens has n=1.00 just like the air in front of your lens. (a) 1.8 cm (b) 18 cm (c) 2.1 cm (d) 21 cm (e) None of the above.The crystalline lens of the human eye is a double-convex lens made of material having an index of refraction of 1.44 (although this varies). Its focal length in air is about 8.00 mm, which also varies. We shall assume that the radil of curvature of its two surfaces have the same magnitude. (Note: The results obtained in the parts A, B and C are not strictly accurate, because the lens is embedded in fluids having refractive indexes different from that of air.) For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of The eye's lens. Part A Find the radii of curvature of this lens. Express your answer in millimeters. R= 7.0 mm Submit ✓ Correct Set Up: = (n − 1)(-). If R is the radius of the lens, then R₁ = R and R₂=-R₁ ² + ² = }· m = ² = -² Solve: = (n − 1) (₁ - ₁) = (n − 1) ( ²2 - ) = ²(n-¹) R=2(n-1)f=2(1.44) (8.00mm) = 7.04mm Part B If an object 12.0 cm tall is placed 26.0 cm from the eye lens, where would the lens focus it? Express your answer in…
- A camper is trying to start a fire by focusing sunlight onto a piece of paper. The diameter of the sun is 1.39 × 10⁹ m, and its mean distance from the earth is 1.50 × 1011 m. The camper is using a converging lens whose focal length is 10.3 cm. (a) What is the area of the sun's image on the paper? (b) If 0.752 W of sunlight pass through the lens, what is the intensity of the sunlight at the paper? (a) Number i (b) Number i Units UnitsThe crystalline lens of the human eye is a double- convex lens made of material having an index of refraction of 1.44 (although this varies). Its focal length in air is about 8.00 mm, which also varies. We shall assume that the radii of curvature of its two surfaces have the same magnitude. (Note: The results obtained in the parts A, B and C are not strictly accurate, because the lens is embedded in fluids having refractive indexes different from that of air.) Find the radii of curvature of this lens. R = ΜΕ ΑΣΦ Submit Request Answer Part B ? mm If an object 10.0 cm tall is placed 33.0 cm from the eye lens, where would the lens focus it? ΜΕ ΑΣΦ ? s' = Submit Request Answer Part C How tall would the image be? Π ΑΣΦ 3= Submit Request Answer ? mm mm