Exam 27: Interference and the Wave Nature of Light

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The headlights of a car are 1.6 m apart and produce light of wavelength 575 nm in vacuum.The pupil of the eye of the observer has a diameter of 4.0 mm and a refractive index of 1.4.What is the maximum distance from the observer that the two headlights can be distinguished?

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Light of wavelength 650 nm is incident normally upon a glass plate.The glass plate rests on top of a second plate so that they touch at one end and are separated by 0.0325 mm at the other end as shown in the figure.Which range of values contains the horizontal separation between adjacent bright fringes? Light of wavelength 650 nm is incident normally upon a glass plate.The glass plate rests on top of a second plate so that they touch at one end and are separated by 0.0325 mm at the other end as shown in the figure.Which range of values contains the horizontal separation between adjacent bright fringes?

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Two candles are lit and separated by 0.10 m.If the diameter of the pupil of an observer's eye is 3.5 mm, what is the maximum distance that the candles can be away from the observer and be seen as two light sources? Use 545 nm for the wavelength of light in the eye.

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Monochromatic light of wavelength λ\lambda film is normally incident on a soap film in air.In terms of the wavelength, what is the thickness of the thinnest film for which the intensity of the reflected light will be a maximum?

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A transparent film (n = 1.4) is deposited on a glass lens (n = 1.5) to form a non-reflective coating.What thickness would prevent reflection of light with wavelength 5.00 × 102 nm in air?

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What is the minimum (non-zero) thickness of a benzene (n = 1.501) thin film that will result in constructive interference when viewed at normal incidence and illuminated with orange light ( λ\lambda vacuum = 615 nm)? A glass slide (ng = 1.620) supports the thin film.

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Light of 600.0 nm is incident upon a single slit.The resulting diffraction pattern is observed on a screen that is 0.50 m from the slit.The distance between the first and third minima of the diffraction pattern is 0.80 mm.Which range of values listed below contains the width of the slit?

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Light of wavelength 625 nm passes through a single slit of width 0.320 mm and forms a diffraction pattern on a flat screen located 8.00 m away.Determine the distance between the middle of the central bright fringe and the first dark fringe.

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The figure shows the interference pattern obtained in a double-slit experiment using light of wavelength 600 nm.    The figure shows the interference pattern obtained in a double-slit experiment using light of wavelength 600 nm.     -Which fringe results from a phase difference of 4  \pi ? -Which fringe results from a phase difference of 4 π\pi ?

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The wavelength of light emitted from two distant objects is 715 nm.What is the minimum angle at which these objects can just be resolved when using binoculars with a 50-mm objective lens?

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White light is passed through a diffraction grating that has 2.50 × 105 lines/m.On each side of the white central maximum, a spectrum of colors is observed.What is the wavelength of the light observed at an angle of 7.00° in the first-order bright fringes?

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Which one of the following statements provides the most convincing evidence that electromagnetic waves have a transverse character?

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A monochromatic beam of microwaves with a wavelength of 0.052 m is directed at a rectangular opening of width 0.35 m.The resulting diffraction pattern is measured along a wall 8.0 m from the opening.What is the distance between the first- and second-order dark fringes?

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Light of wavelength 700.0 nm passes through a diffraction grating.The m = 0 and m = 1 bright spots are 6.0 cm apart on a screen positioned 2.0 m from the grating.What is the spacing between the slits in the grating?

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The Hubble Space Telescope in orbit above the Earth has a 2.4 m circular aperture.The telescope has equipment for detecting ultraviolet light.What is the minimum angular separation between two objects that the Hubble Space Telescope can resolve in ultraviolet light of wavelength 95 nm?

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Red light of wavelength 600.0 nm is incident on a grating.If the separation between the slits is 5.0 × 10-5 m, at what angle does the first principal maximum occur?

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Light with a wavelength of 644 nm uniformly illuminates a single slit.What is the width of the slit if the first-order dark fringe is located at θ\theta = 0.125°?

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