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Wave Optics: Diffraction

Q- You have obtained a diffraction pattern on a distant screen from a plane diffraction grating consisting of alternate transparent and opaque lines with widths a and b respectively. How will the pattern be affected if the widths a and b are interchanged? Consider

(a) Change in intensity

(b) Absen…

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Wave-Optics: Polarization

Q- Two polarizing sheets have their transmission axes crossed so that no light gets through. A third sheet is inserted between the first two such that its transmission axis makes an angle θ with that of the first sheet. Unpolarized light of intensity I0 is incident on the first sheet. Find the inte…

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Wave Optics: Interference, Thin Films

Q- A very thin oil film (n = 1.25) floats on water (n=1.33). What is the thinnest film that produces a strong reflection for green light with a wavelength 500 nm? 

Solution:

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Interference of Light

Q- Light of wavelength λ = 450 nm illuminates two slits. Slit A has a larger opening than slit B. The center of slit A is at y = 0, and the center of slit B is at y = d = 0.1 cm. The screen is L = 1 m away from the plane of the slits. When slit A is open and slit B is closed, the light intensity on…

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Interference: Double Slit

Q- In a location where the speed of sound is 354 m/s, a 2000 Hz sound wave impinges on two slits 30.0 cm apart.

(a) At what angle with the perpendicular bisector of the slits is the first maximum located?   

(b) If the sound wave is replaced by a 3.00 cm microwave, what slit separation gives the…

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Wave Optics - Polarization

Q- Un-polarized light enters a series of three polarizers. The axis of polarization of second makes an angle of 60 degree with that of first and the angle between the axes of second and third is 45 degree. What percentage of the initial intensity of light is transmitted through the system of polariz…

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Wave Optics: Michelson Interferometer

Q- Light of wavelength 602.446 nm is used in a Michelson interferometer. When the mirror M2 is slowly moved, shifting of 33198 bright fringes is observed. By what distance mirror M2 is moved?  

Solution:

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Laser: Power and Intensity

Q- Lasers can be used to drill or cut material. One such laser generates a series of high-intensity pulses rather than a continuous beam of light. Each pulse contains 420 mJ of energy and lasts 10 ns. The laser fires 10 such pulses per second.

(a) What is the peak power of the laser light? The peak…

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Wave Optics: Double slit

Q- A monochromatic source of wavelength 450 nanometers illuminates a double slit, with 45 micrometer spacing between the slits. If a screen is placed 4 meters from the slits, determine the vertical spacing between the central maximum and the third constructive order.

Solution:

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Wave Optics: Thin Film

Q- A thin film of index of refraction of 1.35 is placed over a glass plate of refractive index 1.67. You shine white light on the film and notice that the only two visible colors in the reflected light are 400 and 525 nm. Determine the thickness of the film.

Solution:

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Wave Optics: Polarization

Q- A polarizer is followed by n analyzers, each tilted by 0.54 degree with respect to the previous. How many analyzers are required to reduce the intensity by a factor of 1/50 that which is entering the polarizer?

Solution:

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Doppler effect: Light waves

Q- A distant galaxy is simultaneously rotating and receding from the earth. As the drawing shows, the galactic center is receding from the earth at a relative speed of uG = 1.8*106 m/s. Relative to the center, the tangential speed is vT = 0.3*106 m/s for locations A and B, which are equidistant from…

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Interference of light: Double-slit experiment

Q- Light of wavelengths 480 nm and 620 nm is incident on a double slit of slit width 0.54 mm. How far apart are the second-order fringes for these two wavelengths on a screen 1.6 m away?

Solution:

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Wave Optics - Diffraction Grating

Q- White light (λ= 400 – 700 nm) is incident on a 600 line/mm diffraction grating. What is the width of the first order rainbow on the screen 2.0 m behind the grating?

Solution:

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Interference of light

Q- A material having an index of refraction of 1.30 is used as an anti-reflective coating on a piece of glass (µ = 1.5). What should be the minimum thickness of the film in order to minimize reflection of light of wavelength 500 nm.

Solution:

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Wave Optics - Diffraction Grating

Q1- Light from an argon laser strikes a diffraction grating that has 5310 grooves per cm. The center and the first order principal maximum are separated by 0.488 m on a wall 1.72 m from the grating. Determine the wavelength of the laser light.

Q2- A helium-neon laser (λ = 632 nm) is used to calibr…

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Dffraction

Q1- A cell phone broadcasts 800 MHz signal. If it is operated from the space between two massive radio-wave absorbing buildings with 15 m space between them, what is the angular width of the electromagnetic wave after it emerges from between the buildings?

Q2- How far behind the pinhole should the …

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Intereference and diffraction of light

Q1- Light of wavelength 589 nm from a sodium lamp illuminates two narrow slits. The fringe spacing on a screen 150 cm behind the slits is 4.0 mm. What is the spacing between the two slits? 

Q2- A double-slit experiment is performed with light of wavelength 600 nm. The bright interference fringes a…

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Interference of light

Q- Determine the minimum nonzero thickness of soap film (n=1.33) that will result in

(a) constructive interference of the red Ha line (λ= 656.3nm),

(b) destructive interference of the blue Hγ line (λ= 434.0nm)

Solution:

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Wave-Optics

Q- Two light waves of wavelength 620 nm are initially exactly in phase. The waves pass through to different media of indexes of refraction n1= 1.40 and n2= 1.60. What is the thickness L of each medium that will put the waves out of phase once they pass through the two media? What is the next greater…

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