Exam 35: Interference

In a double slit experiment,the intensity of light at the center of the central bright fringe is measured to be 6.2 µW/m².What is the intensity halfway between the center of this fringe and the first dark band,assuming that the small-angle approximation is valid?

Monochromatic laser light of frequency 5.20 × 10¹⁴ Hz is shown on a pair of thin parallel slits,and the pattern is viewed on a screen 1.20 m away.The fifth bright fringes (not counting the central fringe)occur at ±2.12 cm on either side of the central bright fringe.The entire apparatus is now immersed in a transparent liquid.When the experiment is repeated,the fifth bright fringes now occur at ±1.43 cm from the central bright fringe.(c = 3.00 × 10⁸ m/s) (a)How far apart are the slits? (b)What is the index of refraction of the liquid?

In a double slit experiment,if the separation between the two slits is 0.050 mm and the distance from the slits to a screen is 2.5 m,find the spacing between the first-order and second-order bright fringes when coherent light of wavelength 600 nm illuminates the slits.

Light of wavelength 519 nm passes through two slits.In the interference pattern on a screen 4.6 m away,adjacent bright fringes are separated by 5.2 mm in the general vicinity of the center of the pattern.What is the separation of the two slits?

Coherent monochromatic light of wavelength 632.8 nm passes through a pair of thin parallel slits.The figure shows the central portion of the pattern of bright fringes viewed on a screen 1.40 m beyond the slits.What is the distance between the two slits?

A piece of glass has a thin film of gasoline floating on it.A beam of light is shining perpendicular on the film.If the wavelength of light incident on the film is 560 nm and the indices of refraction of gasoline and glass are 1.40 and 1.50,respectively,what is the minimum nonzero thickness of the film to see a bright reflection?

Two sources of light illuminate a double slit simultaneously.One has wavelength 570 nm and the second has an unknown wavelength.The bright fringe of the unknown wavelength overlaps the bright fringe of the light of 570 nm wavelength.What is the unknown wavelength?

Two radio antennas are 120 m apart on a north-south line,and they radiate in phase at a frequency of 3.4 MHz.All radio measurements are made far from the antennas.If the east-west reference line passes midway between the two antennas,what is the smallest angle from the antennas,measured north of east,at which constructive interference of two radio waves occurs? (c = 3.00 × 10⁸ m/s)

Light passes through a pair of very thin parallel slits.The resulting interference pattern is viewed far from the slits at various angles θ relative to the centerline coming outward from the midpoint between the slits.The central bright fringe is at θ = 0°.If the central bright fringe has intensity I₀,what is the intensity of the next bright fringe on either side of it?

A coating is being applied to reduce the reflectivity of a pane of glass to light with a frequency of 5.75 × 10¹⁴ Hz that is incident normally on the pane.If the material has an index of refraction of 1.375 and the glass has an index of refraction of 1.537,what is the minimum thickness the coating should have? (c = 3.00 × 10⁸ m/s)

Two extremely flat glass plates,10.0 cm wide,touch at one end but are separated by a thin wire at the other end,forming a wedge.Light with a wavelength of 450 nm shines almost perpendicularly on the glass and forms fringes which are 1.80 mm apart.What is the diameter of the wire?

In a two-slit experiment,the slit separation is 3.00 × m.The interference pattern is recorded on a flat screen-like detector that is 2.00 m away from the slits.If the seventh bright fringe on the detector is 10.0 cm away from the central fringe,what is the wavelength of the light passing through the slits?

Light from a 600 nm source goes through two slits 0.080 mm apart.What is the angular separation of the two first order maxima occurring on a screen 2.0 m from the slits?

At most,how many bright fringes can be formed on each side of the central bright fringe (not counting the central bright fringe)when light of 625 nm falls on a double slit whose spacing is

Light from a monochromatic source shines through a double slit onto a screen 5.00 m away.The slits are 0.180 mm apart.The dark bands on the screen are measured to be 1.70 cm apart.What is the wavelength of the incident light?

In the two-slit experiment,monochromatic light of frequency 5.00 × 10¹⁴ Hz passes through a pair of slits separated by 2.20 × 10^-5 m.(c = 3.00 × 10⁸ m/s) (a)At what angle away from the central bright spot does the third bright fringe past the central bright spot occur? (b)At what angle does the second dark fringe occur?

A 360-nm thick oil film floats on the surface of the water.The indices of refraction of the oil and the water are 1.5 and 1.33,respectively.The surface of the oil is illuminated from above at normal incidence with white light.What TWO wavelengths of light in the 400-nm to 800-nm wavelength band are most strongly reflected?

In a double slit experiment,the slit separation is constructed to be exactly 4 times the wavelength of the light passing through the slits.At what angles from the center of the pattern will the third bright fringes on both sides of the central fringe occur?

Light of wavelength 575 nm passes through a double-slit and the third order bright fringe is seen at an angle of 6.5° away from the central fringe.What is the separation between the double slits?

White light is incident normally on a thin soap film having an index of refraction of 1.34.It reflects with an interference maximum at 684 nm and an interference minimum at 570 nm with no minima between those two values.The film has air on both sides of it.What is the thickness of the soap film?