An achromatic converging combination of focal length 60 m is formed by placing a convex lens of crown glass and a concave lens of flint glass in contact with each other. Calculate their focal length, if dispersive power of the crown glass is 0.03 and that of flint glass is 0.05.

Q: A double convex thin glass lens has an index of refraction n=2.50. The magnitude of the radii of…

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Q: A small object is placed to the left of a convex lens and on its optical axis. The object is 28 cm…

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Q: Scm A 1) The focal length of the convex lens in meter is Answer 2) The image of the object formed…

A: (1) From the figure, the focal length of the lens is 5 cm. Convert into meters. f=5 cm1 m100 cm=0.05…

Q: A far-sighted student has a near point of 1.5 m. Calculate the focal length (in cm) of the glasses…

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Q: Find the location, size, and nature of the image of a ring 7.5 cm in diameter and distanced 61 cm a…

A: Given  Diameter of ring, d = 7.5 cm   Object distance, U = -61 cm  = -0.61m Focal length ,F = 41 cm…

Q: Calculate the focusing power of the lens in the fish eye. Assume that the lens is spherical with a…

A: The given values are,

Q: The angle subtended at the eye by an object is equal to the angle subtended at the eye by the…

A: The distinct vision for a normal human being is 25 cm. An object closer to this distance can't be…

Q: The focal length of a convex lens is given to be 17 cm. Its magnification is -2.5. (a) What is the…

A: Focal length of convex lens (f) = 17 cm Magnification = - 2.5

Q: An object is placed 18.0 cm. to the left of the (a) convex lens and (b) the concave lens shown…

A: (a). Given data: The refractive index of both the lens is n=1.5 The radius of curvature of each lens…

Q: An object is located to the left of a concavelens whose focal length is -34 cm. The magnification…

A: The magnification of the lens be given as,

Q: A near-sighted person has a far point of 71 cm. (a) What is the focal length (with its sign), in…

A: near point = 71 cm least distance of distinct vision = 25 cm distance between eye and glasses = 2 cm…

Q: Let us assume that the farthest object a certain myopic eye can properly focus is 4 m from the eye.…

A: As mentioned the myopic eye can focus up to 4m from the eye, thus the lens used to focus must be…

Q: A man can see no farther than 55.8 cm without corrective eyeglasses. (a) Is the man nearsighted or…

A: Given data The image distance is given as v = - 55.8 cm. a) As it is given in the question that…

Q: .

A: It is given that the radius of the lens is 100 mm and the refractive index of its material is 1.60.…

Q: PROBLEM The near point of a patient's eye is 50.0 cm. (a) What focal length must a corrective lens…

A: Givennear point=50 cma)image distance, v=-50 cmobject distance, u=-25 cmusing lens formula1f=1v-1u…

Q: The back side of a polished spoon has f = -6.50 cm (convex). If you hold your nose 5.00 cm from it,…

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Q: A thin rod of length 35.9 cm is placed along the principal axis of a convex lens (focal length 18.6…

A: The image distance for the near end is, 1f=1v+1u118.6 cm=1v+1-26.9 cm1v=118.6 cm+126.9 cmv=11 cm…

Q: An object of height of diameter 20 cm is placed 12 cm in front of a diverging lens with a focal…

A: Given that: The object height is 20 cm The distance of the object is u=-12 cm The focal length is…

Q: he focal length of a diverging lens is negative. If f = −17 cm for a particular diverging lens,…

A: To solve the question, we will use the formula: 1v-1u=1f We also have to be careful about the sign…

Q: DA s radi Of Curvaturve 8(cm) and 1o Cem) Rind Th JengTh and bositi on of Ro Cal Point and The prin…

A: The formula for focal length is given by 1f=n-11R1-1R2 Where n = reflective index R1 and R2 are the…

Q: An object is 5.0 cm high and is placed 20.0 cm from a converging lens of a focal length 15.0 cm. (a)…

A: Given  Object distance (u) = -20cm Focal length (f) = -15cm Object high (ho) = 5 cm we have to find…

Q: A magnifying glass forms an image of a 4.00-mm-tall thumb tack that is to the left of the lens. The…

A: The magnification, M=2   The height of the image, ho=4.0 mm

Q: A thin rod of length 36.1 cm is placed along the principal axis of a convex lens (focal length 16.1…

A: the near end image distance is, 1f=1v+1u116.1 cm=1v+1-96.4 cmv=13.80 cm   the far end image distance…

Q: As shown in the figure below, a biconvex thin lens located 133 cm from a screen, projects onto it an…

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Q: A driver looks in his side view (convex) mirror (focal length 76.9 m). If another car appears to be…

A: The focal length of the side-view mirror f=76.9 m. The distance of the virtual image from the mirror…

Q: An object is placed 30.0 cm from a  + 5.0 D lens. A spherical mirror with focal length 25 cm is…

A: Given: The object is placed at d=30 cm. The power is P=+5 D. The focal length is f=25 cm. The…

Q: A person wth myopia can see objects placed at a distance of 4m. If he wants to see objects at a…

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Q: An object is 30 cm in front of a converging lens with a focal length of 5 cm. Use ray tracing to…

A: Given that: the focal length of the Converging lens, f = 5cm Object distance, u = 30cm Let the image…

Q: What is the focal length and power of the eyeglasses that must be prescribed to a near-sightedness…

A: Given: The far point of the myopic person is 1.20 m.   To find the focal length and power of the…

Q: What is the radius of curvature of the curved side,

A: Given  Refractive index of plano-concave lens is (μ)=1.82 Focal distance (f)= 8.29cm

Q: Determine the index of refraction of a double-concave lens with equal radii of curvature of -15.0cm…

A: Given: The equal radii of curvature of the double-concave-lens: R = -15.0 cm. The position of…

Q: If you want to examine the fine detail of an object with a magnifying glass with a power of 120.0…

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Q: A 4.99 mm high diamond is placed on the axis of, and 12.7 cm from, a lens with a focal length of…

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Q: In a compound microscope, it consists of an objective lens with a focal length of 5 mm and an…

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Q: A man can see no farther than 56.8 cm without corrective eyeglasses. (a) Is the man nearsighted or…

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Q: A retired bank president can easily read the fine print of the financial page when the news-paper is…

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Q: * A concave lens has focal length of 20 cm. At what distance from the lens a 5 cm tall object be…

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Q: A lens produces a real image that is twice as large as the object, inverted, and located 15 cm from…

A: The magnitude of the magnification of the image is given by, m=hiho Here, hi is the height of the…

Q: Assume that the near point of a hyperopic (farsighted) eye is 0.936 m in front of the eye. A lens is…

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Q: Dish receivers for satellite TV always use the concave side of thedish, never the convex side.…

A: Dish receivers