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# Optics

### Wave Optics: Interference through thin films.

1.) A mixture of yellow light (wavelength = 582 nm in vacuum) and violet light (wavelength = 414 nm in vacuum) falls perpendicularly on a film of gasoline that is floating on a puddle of water. For both wavelengths, the refractive index of gasoline is n = 1.40 and that of water is n = 1.33. What is the minimum nonzero thickness

### optics: image of the concave mirror

(a) A dentist uses a small mirror of radius 40 mm to locate a cavity in a patient's tooth. If the mirror is concave and is held 19 mm from the tooth, what is the magnification of the image? (b) A production line inspector wants a mirror that produces an upright image with magnification of 7.1 when it is located 10.0 mm from

### 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?

### Image of the Converging Lens

A converging lens with 7.000 cm focal length creates a 1.300 cm tall image of a 4.000 mm tall object that is to the right of the lens. The image is erect. Find the locations of the object and the image, Determine whether the image is real or virtual. Clearly show all calculations used to answer this question. Include

### Set of 7 optics problems and 4 problems on special relativity

See attached file for full problem description.

### Optics: Lens and mirrors, Brewster's angle.

See attached file for full problem description.

### 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

### Optics Problem for stamp placed under glass: Index of refraction

If a stamp is placed under 3 mm of glass with an index of refraction of 1.5, how far below the top of the surface of the glass does the image of the stamp appear? Does the index of refraction come into play somewhere?

### 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

### Optics of Imaging the Sun

Assume you are taking pictures of the sun with a digital camera. You have a 1024 x 1024 pixel sensor that is 12.5mm by 12.5mm overall in size. What focal length lens do you need to use so that the image of the sun fits onto the sensor? How big does the exit pupil need to be in order for the lens to operate at f/4?

### 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

### Interferometry Fabry-Perot

3) A Fabry-Perot interferometer with fixed plate spacing t = 1.50mm is used to examine filtered light from a helium lamp, with wavelength lambda = 587.56nm. The plates have reflectance R = 0.950. a) What is the free spectral range (in nm) for this spacing t and wavelength lambda? b) What is the smallest resolvable wavelen

### 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

### Wave optics: Young's double-slit experiment

In a Young's double-slit experiment the separation y between the second-order bright fringe and the central bright fringe on a flat screen is 0.0180 m, when the light has a wavelength of 425 nm. Assume that the angles that locate the fringes on the screen are small enough so the sin(theta) ~ tan(theta). Find the separation y whe

### 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)

### Geometrical Optics

A film of oil, with an index of refraction of 1.48 and a thickness of 1.80 cm, floats on a pool of water. A beam of light is incident on the oil at an angle, theta = 52.2° to the vertical. Find the angle the light beam makes with the vertical as it travels through the water.

### 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.

### Optic: Gain Profiles

What is the gain profile of amplifying medium?

### Optics: wave-plates and Faraday effect

What kind of wave-plates one needs to apply to rotate the plane of linearly polarized light 45 degrees clockwise? What is the physical difference between this type of polarization rotation and that one achieved with Faraday effect?

### 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.

### Waves, Nature of Light, Polarization, Interference

(See attached file for full problem description)

### 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