A thin lens made of glass that has a refractive index equal to 1.60 has surfaces...
A thin lens made of glass that has a refractive index equal to 1.60 has surfaces with radii of curvature that have magnitudes equal to 13.0 and 20.0 mm.
1)
Find the smallest possible value of the focal length. (Express your answer to three significant figures.)
mmmm
2)
Find the second smallest possible value of the focal length. (Express your answer to three significant figures.)
mmmm
3)
Find the second greatest possible value of the focal length? (Express your answer to three significant figures.)
mmmm
4)
Find the greatest possible value of the focal length. (Express your answer to three significant figures.)
mmmm
Homework Answers
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A thin lens made of glass that has a refractive index equal to
1.60 has surfaces...
A lens-maker wants to make a magnifying glass of focal length 19 cm from a glass...
A lens-maker wants to make a magnifying glass of focal length 19 cm from a glass with refractive index 1.53. If the two lens surfaces have equal radii of curvature, what should that radius be?
13. A thin glass plate with the refractive index n has to surfaces which are not...
13. A thin glass plate with the refractive index n has to surfaces which are not exactly parallel. In the interference image obtained in the reflected light under nearly nor- mal incident angles the distance between the dark stripes is found to be Ar. The wavelength is . Find the angle a between the plate surfaces. (1p) 14. Total internal reflection is observed in glass (n=1.5) and in water (n=1.33) at identical incidence angles. In which case the penetration depth...
22. (i) A concave surface with a radius of 4 cm separates two media of refractive...
22. (i) A concave surface with a radius of 4 cm separates two media of refractive index n1 1.00 and n2- 1.5. Find the primary focal length and the secondary focal length. (ii) A biconvex glass lens has radii of curvatures 12 cm and 18 cm. The refractive index of glass is 1.44. Calculate the focal length of the lens. (iii) The radii of both surfaces of an equi-convex lens of refractive index 1.6 are equal to 8.0 cm. Find...
5. For a thin positive lens made from a dielectric of refractive index n, find the ratio of the r...
5. For a thin positive lens made from a dielectric of refractive index n, find the ratio of the radii of curvature of the two surfaces (i.e. R\lR2) such that the angular deviation, Ay, for a ray from an object at infinity (ie.- incident ray parallel to the optical axis) is the same at both faces of the lens. [This is the best-form lens condition.] t-
5. For a thin positive lens made from a dielectric of refractive index n,...
a plus periscopic lens is made in glass of refractive index 1.53 with one surface of...
a plus periscopic lens is made in glass of refractive index 1.53 with one surface of radius 68.39mm. Find the focal length of the lens in mm
5. For a thin positive lens made from a dielectric of refractive index n, find the...
5. For a thin positive lens made from a dielectric of refractive index n, find the ratio of the radii of curvature of the two surfaces (i.e. R\lR2) such that the angular deviation, Ay, for a ray from an object at infinity (ie.- incident ray parallel to the optical axis) is the same at both faces of the lens. [This is the best-form lens condition.] t-
Review Constants In this example, we will apply the thin-lens equation to a lens that has...
Review Constants In this example, we will apply the thin-lens equation to a lens that has two concave surfaces. The two surfaces of the lens shown in (Figure 1) have radii of curvature with absolute values of 20 cm and 5.0 cm. The index of refraction is 1.52. What is the focal length f of the lens? SOLUTION SET UP AND SOLVE The center of curvature of the first surface is on the incoming side of the light, so R,...
A "biconvex" lens is one in which both surfaces of the lens bulge outwards. Suppose you...
A "biconvex" lens is one in which both surfaces of the lens bulge outwards. Suppose you had a biconvex lens with radii of curvature with magnitudes of |R1|=10cm and |R2|=15cm. The lens is made of glass with index of refraction nglass=1.5. We will employ the convention that R1 refers to the radius of curvature of the surface through which light will enter the lens, and R2 refers to the radius of curvature of the surface from which light will exit...
A lens is made from glass with an index of refraction of 1.66 for violet light...
A lens is made from glass with an index of refraction of 1.66 for violet light and 1.61 for red light. Both sides of the lens are convex with equal radii of curvature. For which color, violet or red, is the focal length larger? Explain how you know.
The thick lens shown at right is made from glass with index of refraction 1.50. The...
The thick lens shown at right is made from glass with index of refraction 1.50. The thick lens has thickness of 6.0 cm and radii of curvature of 8.00 cm and 10.00 cm. (a) Find the focal length of this thick lens in air and the position of its focal points (F and F) and its principal points (H, and H,) with respect to the front and back of the lens respectively. (b) Draw a sketch showing the locations of...
13. A thin glass plate with the refractive index n has to surfaces which are not exactly parallel. In the interference image obtained in the reflected light under nearly nor- mal incident angles the distance between the dark stripes is found to be Ar. The wavelength is . Find the angle a between the plate surfaces. (1p) 14. Total internal reflection is observed in glass (n=1.5) and in water (n=1.33) at identical incidence angles. In which case the penetration depth...
22. (i) A concave surface with a radius of 4 cm separates two media of refractive index n1 1.00 and n2- 1.5. Find the primary focal length and the secondary focal length. (ii) A biconvex glass lens has radii of curvatures 12 cm and 18 cm. The refractive index of glass is 1.44. Calculate the focal length of the lens. (iii) The radii of both surfaces of an equi-convex lens of refractive index 1.6 are equal to 8.0 cm. Find...
5. For a thin positive lens made from a dielectric of refractive index n, find the ratio of the radii of curvature of the two surfaces (i.e. R\lR2) such that the angular deviation, Ay, for a ray from an object at infinity (ie.- incident ray parallel to the optical axis) is the same at both faces of the lens. [This is the best-form lens condition.] t-
5. For a thin positive lens made from a dielectric of refractive index n,...
5. For a thin positive lens made from a dielectric of refractive index n, find the ratio of the radii of curvature of the two surfaces (i.e. R\lR2) such that the angular deviation, Ay, for a ray from an object at infinity (ie.- incident ray parallel to the optical axis) is the same at both faces of the lens. [This is the best-form lens condition.] t-
Review Constants In this example, we will apply the thin-lens equation to a lens that has two concave surfaces. The two surfaces of the lens shown in (Figure 1) have radii of curvature with absolute values of 20 cm and 5.0 cm. The index of refraction is 1.52. What is the focal length f of the lens? SOLUTION SET UP AND SOLVE The center of curvature of the first surface is on the incoming side of the light, so R,...
The thick lens shown at right is made from glass with index of refraction 1.50. The thick lens has thickness of 6.0 cm and radii of curvature of 8.00 cm and 10.00 cm. (a) Find the focal length of this thick lens in air and the position of its focal points (F and F) and its principal points (H, and H,) with respect to the front and back of the lens respectively. (b) Draw a sketch showing the locations of...
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