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# Optics

### Optics: Mirrors, Angle of Reflection

(a) A ray of light strikes a mirror at an angle of 59° to the normal. What is the angle of reflection? What is the angle between the incident ray and the reflected ray? (b) A ray of light incident upon a mirror makes an angle of 36.9° with the mirror. What is the angle between the incident ray and the reflected ray?

### Optics: Electric & Magnetic Field of EM wave

See attached file for full problem description. 15. The value of the magnetic field for a certain type of electromagnetic wave is 1.82 uT. What is the value of the electric field for that wave? 16. The rms value of the electric field component of an electromagnetic wave is 27.2 N/C. What is the maximum value of the electric

### Image by reflection from plane and then from concave mirror.

A plane mirror and a concave mirror (f = 5.90 cm) are facing each other and are separated by a distance of 26.0 cm. An object is placed 13.0 cm in front of the plane mirror. Consider the light from the object that reflects first from the plane mirror and then from the concave mirror. Find the location of the image that this ligh

### Concepts of dispersion of light through two prisms.

This is a conceptual questions, so don't use Snell's law or any numbers. Two identical prisms made of dispersive glass, are placed as shown and a narrow beam of white light enters from the left. If the prisms are in the configuration for minimum deviation for green light, draw what happens to, say , the 4 colors of red, yello

### Huygens ocular and exit pupil.

A Huygens ocular is constructed of 2 thin lenses of focal length 10 cm and 5 cm, respectively, separated by 7.5 cm. The ocular is used in an astronomical telescope whose objective is 30 cm to the left of the front lens of the ocular. What is the position of the exit pupil and what is the focal length of the ocular?

### Magnification in a compound microscope.

A certain microscope is provided with objectives of focal lengths 16 mm, 4 mm, and 1.9 mm, and with oculars of angular magnifications 5X and 10X. Each objective forms an image 160 mm beyond its second focal point. What is the largest and the least overall magnification obtainable?

### Fiber optics - temporal broadening by a multimode fiber.

How significant is the broadening of a nsec pulse laser in the optical fibers? Their fiber was quartz, 2.5 m long, 600 um in diameter, with numerical aperture in air of 0.22. Let's assume you sent an idealized pulse of 337 nm light (from the N2 laser) with zero temporal width into the fiber. Calculate the minimum and maximum fli

### Refraction of a Parallel Beam of Light through a Hemisphere.

A parallel beam of light is incident on the surface of a transparent hemisphere of index 2.0 at an angel of 45 degrees to the axis. Show whether or not the central ray in the beam is totally reflected at the plane surface and find the position of the image formed by refraction at the first surface and the plane surface. Indicate

### images of double lenses system

Show work and confirm answers A> An object of height 5 cm is placed 30 cm in front of spherical concave mirror. If the image is real and 10 cm high, what is the radius of curvature of the mirror? B> Two lenses, both placed on the x-axis. The first lens is a diverging lens with focal length 4cm placed at x = -2cm

### Optics with a Hubcap

A dedicated sports-car enthusiast polishes the inside and outside surfaces of a hubcap that is a section of a sphere. When she looks into one side of the hubcap, she sees an image of her face 30 cm in back of the hubcap. She then flips the hubcap over and sees another image of her face 10 cm in back of the hubcap. How far is

### Optics: Reflection, refraction and interference of light.

1. An object is midway between the biconcave lens (with focal length -16.7 cm) and the concave mirror (with radius of curvature 20 cm). The mirror?lens distance is 25 cm. Considering only the light that leaves the object and travels first toward the mirror, locate the final image formed by this system. Is this image real or virt

### Young's Double Slit Experiment

In a Young's double-slit experiment, the seventh dark fringe is located 0.025 m to the side of the central bright fringe on a flat screen, which is 1.1. m away from the slits. The separation between the slits is 1.4 x 10-4 m. What is the wavelength of the light being used?

### Optics Problems: Refractive Power

A student is reading a lecture written on a blackboard. The lenses in her eyes have refractive power of 57.50 diopters, and the lens-to-retina distance 1.750 cm. (a) How far (in meters) is the blackboard from her eyes? (b) If the writing on the blackboard is 5.00 cm high, what is the size of the image on her retina?

### Ray Optics: Refraction through Plane surface and lens

(See attached file for full problem description)

### Double-slit experiment

One of the slits of a double-slit experiment is wider than the other, so that the amplitude of the light reaching the central part of the screen from one slit, acting alone, is twice that from the other slit, acting alone. Derive an expression for the intensity I in terms of theta.

### Mirror Optics

A concave shaving mirror has a radius of curvature of 20 cm. It is positioned so that the upright image of a man's face is 3 time the size of the face. How far is the mirror from the face? Please state what equations you use.

### Wave Optics: Interference in thin films/wedge shaped film.

Two rectangular optically flat plates (n=1.52) are in contact along one end and are separated along the other end by a 2.00 micrometer thick spacer. The top plate is illuminated by monochromatic light of wavelength 546.1 nm. Calculate the number of dark parallel bands crossing the top plate (including the dark band at zero thick

### Geometrical Optics: Lenses, Prism, multiple-total reflection

1. A Lighted candle (shown) 10.0 cm high is placed 40.0 cm in front of a converging lens with f1= 15 cm, which in turn is 70 cm in front of another converging lens of f2 = +20 cm. (a) Draw a "good" ray diagram "to scale" ( show focal lengths, etc.) for this problem. Estimate from your diagram the location and size of the fin

### Chapter 8: Activity-Based Costing: A Tool to Aid Decision Making

Please refer to the attached word document. The following exercises need to be addressed: Exercise 8-10 Problem 8-14 Problem 8-18 Thanks. --- 356 Chapter 8 Activity-Based Costing: A Tool to Aid Decision Making EXERCISE 8-10 Comprehensive Activity-Based Costing Exercise Silicon Optics has supplied the fol

### Ray Optics: Combination of lens and mirror

An object is placed 12.0 cm in front of a converging lens of focal length 5.00 cm. A concave mirror with radius of curvature 20.0 cm is located 30.0 cm in back of the lens as shown. (refer to attached picture) 1.) At what distance from the lens does the first image (from the lens) form? 2.) What is the magnification of the

### Ray Optics: Combination of lenses

A diverging lens (f = -10.5 cm) is located 20.0 cm to the left of a converging lens (f = 32.0 cm). A 3.00 cm tall object stands to the left of the diverging lens, exactly at its focal point. (a) Determine the distance of the final image relative to the converging lens. (b) What is the height of the final image (including

### Laser beam enters a prism

(See attached file for full problem description with diagram) --- 8. A laser beam enters one of the sloping faces of the equilateral glass prism (n = 1.41) in the figure below and refracts through the prism. Within the prism the light travels horizontally. What is the angle between the direction of the incident ray and the

### 'OPTICS'

4.15 Light of wavelength 600 nm in vacuum enters a block of glass where n_g=1.5. Compute its wavelength in the glass. What color would it appear to someone embedded in the glass? See attached 4.19 A laserbeam having a diameter D in air strikes a piece of glass (n_g) at an angle theta_i. What is the diameter of the beam in

### Optics of thick glass mirror

Images in a very thick glass mirror may by slightly colored by dispersion. Draw two vertical lines, separated by about 2 cm, to represent the front (glass) surface and the rear (silver) surface of the mirror. About 2 cm in from of the mirror, draw the object-a white point source. (a) Carefully draw red and blue rays to represent

### Optics/light

When you look at a white light source through a rainbow peephole, why is ONLY the central spot white?

### Light and Optics: Flint glass prism. What angle does each ray make when it emerges from the prism?

A flint-glass prism is made in the shape of a 30 degree-60 degree-90 degree triangle. Red and violet light are incident on the prism at right angle to it's vertical side. The index of refraction n red= 1.66, n violet = 1.70. What angle does each ray make with the horizontal when it emerges from the prism?

### Optics

Objective: To examine how images can be formed from the light of distant sources. Equipment: Example lens (magnifying, reading glasses, or eyeglasses for a farsighted person), a small hand mirror, blank paper; straight edge (ruler), protractor. Description: Quantitative interpretation of astronomical images requires a k

### Light and Optics

1. Light is incident at angle A from a media with n = 1.5 to one with n = 2.0 as shown in the figure. What is the minimum value for A so that there is total internal reflection at point P, which is at the interface between the n = 2 and n = 1 materials? ? A

### Physical Optics/constructive and destructive reflection

Hi. Can someone please show me how to do the following problem? Thank you. White light is incident normally on a thin soap film (n = 1.33). (a) What are the two minimum thicknesses that will constructively reflect visible light with = 676 nm? smallest thickness (in nm) second smallest thickness (in nm) (b) What

### Physical Optics and Interference

Moe, Larry, and Curly sit in a line with a spacing of 1.00 m. Larry is d1 = 3.0 m in front of a pair of stereo speakers d2 = 0.800 m apart, as shown in Figure 28-33. The speakers produce a single-frequency tone, vibrating in phase with each other. What are the two lowest frequencies that allow Larry to hear a loud tone while Moe