Given a hemisphere of radius r defined by: x = r*cos(a) y = r*sin(a) where -pi/2 <= a <= pi/2 If the hemisphere describes a boundary between two interfaces having indices of refraction n (outside the hemisphere) and m (inside the hemisphere) and assuming the light strikes the hemisphere at point {x,y} with angle a (meanin
1. Light with a wavelength of 486 nm in air is passed through glass with an index of refraction of 1.54. (a) What is the wavelength of the light in the glass? What is the frequency of the light (b) in air and (c) in the glass? 2. Using Huygens' principle (rather than Snell's law), find the angle of refraction when light is in
1. A eyeglass lens has strength of +5.50 diopters. What is the focal length of the lens? 2. A farsighted eye has a near point of 150 cm. Objects closer than 150 cm are not seen clearly. A converging lens is used to permit clear vision of a book placed 25 cm in front of the eye. Find the focal length of the lens and express its
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Do question 70 only. Typed preferred. Thanks. Please see the attached file.
In a double-slit arrangement the slits are separated by a distance equal to 100 times the wavelength of the light passing through the slits. (a) What is the angular separation in radians between the central maximum and an adjacent maximum? (b) What is the distance between these maxima on a screen 50.0 cm from the slits?
Please help with 48, 56, 62, 72, 86 ONLY 48) What is the magnification of the object when the object is 35 cm from the lens (see attachment please)
Reading glasses of what power (D) are needed for a person whose near point is 121cm, so that he can read a computer screen at 48.8cm? Assume a lens eye distance of 1.83cm.
A small insect is placed 5.41cm from a +6.59cm focal length lens. Calculate the position of the image. Calculate the angular magnification.
1. A microscope has an objective with f = 1 cm, an ocular with f = 2.5 cm, and a distance s = 10 cm between them. Taking the best viewing distance as 25 cm, a) Find the magnification of a microscope b) Plot the picture of the rays to scale using the graph paper. 2. Model a parabolic graded-index fibre with n (r) = n 1 [1-(r
A camera is equipped with a lens with a focal length of 30 cm. When an object 200 cm away is being photographed, what is the magnification?
When viewed through a magnifying glass, a stamp that is 2 cm wide appears upright and 6 cm wide. What is the magnification?
Standing 2.0 m in front of a small vertical mirror, you see the reflection of your belt buckle, which is 0.70 m below your eyes. What is the vertical location of the mirror relative to the level of your eyes and what angle do your eyes make with the horizontal when you look at the buckle? If you now move backward until you are
You are 1.8 m tall and stand 3.0 m from a plane mirror that extends vertically upward from the floor. On the floor 1.5 m in front of the mirror is a small table, 0.80 m high. What is the minimum height the mirror must have for you to be able to see the top of the table in the mirror? Please include what law is used to solve.
A slide projector produces a 500 times enlarged image of a slide on a screen 10m away. If the screen is moved 2m closer, by what distance should the slide be moved towards or away from the lens so that the image remains focused on the screen? What is the magnification in this case? Assume that the projector consists of a single
A beaker contains water up to height of H1 and K-oil above water up to another height H2. Find the apparent shift in the position of the bottom of the beaker when viewed from above. Refractive index of water is n1 and that of kerosene is n2.
Multiple choice: 1. The middle of the first-order maximum, adjacent to the central bright fringe in the double-slit experiment, corresponds to at a point where the optical path length difference from the tow apertures is equal to: (a) h (=lander) (b) 0 (c) 1/2h (d) 1/4h (e) none of the above. Explain your choice. 2. A narrow
In an experiment where you light a long filament vertical light bulb. If you look at it from several meters away through a vertical slit cut in a 3 X 5 card, you will see a lovely fringe system. Explain what's happening. Multiple choice: 1. Light linearly polarized in the plane-of-incidence impinges on the surface of a glass
Q: If you put a few drops of liquid in a cup of soap with a little water and shake it around, making a great froth of bubbles. After several seconds, the bubbles will begin to show bright rainbow color patterns. Why must you wait before the colors appear? Q: If you take a very close look at a worn surface under direct sunligh
1. A point source of light lies on the central axis of a bi-convex spherical lends who radii of curvature are both measured to be 19.4 cm. The lens is made up of glass with an index of refraction of 1.50 and the source is 3.17 meters to the left of it. What is the image distance (in meters)? 2. A grasshopper sitting 31.4 cm t