Question

Broadly, lenses are of the following types: Biconvex lens Equiconvex lens Plano convex lens Concavo convex lens Biconcave lens Equiconcave lens Plano concave lens Convexo concave lens You are designing a thin lens for use in a pair of glasses. You wish the design a Biconcave lens as shown in the figure. Using the data given below, determine the focal length (in cm) of the lens. Include negative signs as appropriate. (Example, if the lens is converging, your answer should be positive. If the lens is diverging, your answer should be negative.) • R1 = 4.702 cm • R2 = 1.862 cm • n = 2.294 

          Broadly, lenses are of the following types:
Biconvex lens
Equiconvex lens
Plano convex lens
Concavo convex lens
Biconcave lens
Equiconcave lens
Plano concave lens
Convexo concave lens
You are designing a thin lens for use in a pair of glasses. You wish the design a
Biconcave lens as shown in the figure. Using the data given below, determine the
focal length (in cm) of the lens. Include negative signs as appropriate. (Example, if the
lens is converging, your answer should be positive. If the lens is diverging, your
answer should be negative.)
• R1 = 4.702 cm
• R2 = 1.862 cm
• n = 2.294
Show more…
Broadly, lenses are of the following types: Biconvex lens Equiconvex lens Plano convex lens Concavo convex lens Biconcave lens Equiconcave lens Plano concave lens Convexo concave lens You are designing a thin lens for use in a pair of glasses. You wish the design a Biconcave lens as shown in the figure. Using the data given below, determine the focal length (in cm) of the lens. Include negative signs as appropriate. (Example, if the lens is converging, your answer should be positive. If the lens is diverging, your answer should be negative.) • R1 = 4.702 cm • R2 = 1.862 cm • n = 2.294

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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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Broadly, lenses are of the following types: Biconvex lens Equiconvex lens Plano convex lens Concavo convex lens Biconcave lens Equiconcave lens Plano concave lens Convexo concave lens You are designing a thin lens for use in a pair of glasses. You wish to design a Biconcave lens as shown in the figure. Using the data given below, determine the focal length (in cm) of the lens. Include negative signs as appropriate. (For example, if the lens is converging, your answer should be positive. If the lens is diverging, your answer should be negative.) R1 = 4.702 cm R2 = 1.862 cm n = 2.294
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You are designing a thin lens for use in a pair of glasses. You wish to design a Biconcave lens as shown in the figure. Using the data given below, determine the focal length (in cm) of the lens. Include negative signs as appropriate: (Example: if the lens is converging, your answer should be positive. If the lens is diverging, your answer should be negative.) R1 = 4.347 cm R2 = 2.630 cm n = 1.980

Adi S.
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A thin lens has a convex surface of radius $20 \mathrm{~cm}$ and a concave surface of radius $40 \mathrm{~cm}$ and is made of glass of refractive index 1.54. Compute the focal length of the lens, and state whether it is a converging or a diverging lens. First, notice that $R_{1}>0$ and $R_{2}>0$ because both surfaces have their centers of curvature to the right. Consequently, $$\frac{1}{f}=(n-1)\left(\frac{1}{R_{1}}-\frac{1}{R_{2}}\right)=(1.54-1)\left(\frac{1}{20 \mathrm{~cm}}-\frac{1}{40 \mathrm{~cm}}\right)=\frac{0.54}{40 \mathrm{~cm}} \quad \text { or } \quad f=+74 \mathrm{~cm}$$ Since $f$ turns out to be positive, the lens is converging.

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Thin lenses. Object $O$ stands on the central axis of a thin symmetric lens. For this situation, each problem in Table $34-6$ gives object distance $p$ (centimeters), the type of lens (C stands for converging and D for diverging), and then the distance (centimeters, without proper sign) between a focal point and the lens. Find (a) the image distance $i$ and (b) the lateral magnification $m$ of the object, including signs. Also, determine whether the image is (c) real (R) or virtual (V), (d) inverted (I) from object $O$ or noninverted (NI), and (e) on the same side of the lens as object $O$ or on the opposite side. $\begin{array}{lll}57 & +45 & \text { C, } 20\end{array}$

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Transcript

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00:01 All right, looks like you have a real -life example of how to use optics in figuring out what sort of lenses a person needs for their eyeglasses.
00:13 So the equation for a double bi -concave lens is up here.
00:21 The focal point is equal to the index and refraction minus one.
00:25 So that was given in the problem.
00:28 And we're going to multiply that by the one over r of the front.
00:35 So what that radius is.
00:38 And we're going to subtract that from one over the radius of the back portion in the lens.
00:44 So they have two different curvatures.
00:46 And the reason that they do that is to help it align with the lens of the eye of the patient...
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