Exam 17: Wave Optics

In a two-slit experiment, monochromatic coherent light of wavelength 600 nm passes through a pair of slits separated by 2.20 × 10^-5 m. At what angle away from the centerline does the second dark fringe occur?

Light from a He-Ne laser of wavelength 633 nm passes through a circular aperture. The resulting pattern is observed on a screen 4.0 m behind the aperture, where the width of the central bright circle is 1.1 cm. What is the diameter of the hole?

A diffraction grating with 396 lines/mm is illuminated with light of wavelength 343 nm. What is the angular separation between the two second-order bright fringes?

The colors on an oil slick are caused by reflection and

A 360-nm thick oil film floats on the surface of a pool of water. The indices of refraction of the oil and the water are 1.50 and 1.33, respectively. When the surface of the oil is illuminated from above at normal incidence with white light, what is the wavelength of light between 400 nm to 800 nm wavelength that is most weakly reflected?

A two-slit arrangement with 60.3 μm separation between the slits is illuminated with 537.0-nm wavelength light. If a viewing screen is located 2.14 m from the slits, find the distance on the screen from the first dark fringe on one side of the central maximum to the second dark fringe on the other side.

A single thin slit forms a diffraction pattern, with the first minimum at an angle of 40.0° from central maximum. If monochromatic light of 530.0-nm wavelength is used for the illumination, what is the width of the slit?

Light is incident perpendicularly from air onto a liquid film that is on a glass plate. The liquid film is $199 \mathrm {~nm}$ thick, and the liquid has index of refraction 1.60. The glass has index of refraction 1.50. Calculate the longest visible wavelength (as measured in air) of the light for which there will be totally destructive interference between the rays reflected from the top and bottom surfaces of the film. Assume that the visible spectrum lies between 400 nm and 700 nm.

In a diffraction grating experiment, light of 600 nm wavelength produces a first-order maximum 0.35 mm from the central maximum on a distant screen. On the same screen, a second monochromatic source produces a third-order maximum 0.87 mm from the central maximum when it passes through the same diffraction grating. What is the wavelength of the light from the second source?

A diffraction grating has 5150 lines per centimeter ruled on it. What is the angular separation between the first- and the third-order bright spots on the same side of the central maximum when the grating is illuminated by a beam of light with wavelength 633 nm?

In a double-slit experiment, the slit separation is 2.0 mm, and two wavelengths, 750 nm and 900 nm, illuminate the slits. A screen is placed 2.0 m from the slits. At what distance from the central maximum on the screen will a bright fringe from one pattern first coincide with a bright fringe from the other?

Monochromatic light is incident on a diffraction grating that is 75 mm wide and ruled with 50,000 lines. The second-order maximum is seen at 32.5°. What is the wavelength of the incident light?

The distance between two slits is 1.50 × $10 ^ { - 5 }$ m. A beam of coherent light of wavelength 600 nm illuminates these slits, and the distance between the slit and the screen is 2.00 m. What is the distance on the screen between the central bright fringe and the fourth-order bright fringe?

The distance between the ruled lines on a diffraction grating is 1770 nm. The grating is illuminated at normal incidence with a parallel beam of white light in the 400 nm to 700 nm wavelength band. What is the longest wavelength that appears in the third order spectrum?

In a two-slit experiment using coherent light, the distance between the slits and the screen is 1.10 m, and the distance between the slits is 0.100 mm. If the first-order bright fringe is measured to be 3.40 cm from the centerline, what is the wavelength of the light?

A single slit, 1400 nm wide, forms a diffraction pattern when illuminated by monochromatic light of 490-nm wavelength. What is the largest angle from the central maximum at which the intensity of the light is zero?

A double slit that is illuminated with coherent light of wavelength 644 nm produces a pattern of bright and dark fringes on a screen 6.00 cm from the slits. If the slits are 2783 nm apart, what is the distance on the screen between the 4^th and the 2^nd bright fringes on one side of the central maximum?

When a light wave enters into a medium of different refractive index,

Using monochromatic light of 410 nm wavelength, a single thin slit forms a diffraction pattern, with the first minimum at an angle of 40.0° from central maximum. The same slit, when illuminated by a new monochromatic light source, produces a diffraction pattern with the second minimum at a 60.0° angle from the central maximum. What is the wavelength of this new light?

A 500-nm-wavelength beam of light illuminates a soap film with air on both sides and an index of refraction 1.33. If the beam of light is incident normally on the film, what is the minimum thickness of the film to make the reflected light enhanced in brightness?