Exam 28: Physical Optics: Interference and Diffraction

A metallic sheet has a large number of parallel slits,5.0 mm wide and 20 cm apart.This sheet is used as a diffraction grating for microwaves.A wide parallel beam of microwaves is incident normally on the sheet.If the microwave wavelength is 6.0 cm,what is the largest angle from the normal,at which an intensity maximum occurs?

When a diffraction grating having 5000 lines/cmis illuminated by monochromatic light,the angle between the central maximum and the fourth order maximum is 47.2°.What is the wavelength of the light?

In a double-slit experiment,it is observed that the distance between adjacent maxima on a remote screen is 1.0 cm.What happens to the distance between adjacent maxima when the slit separation is cut in half?

Two beams of coherent light start out at the same point in phase and travel different paths to arrive at point P.If the maximum destructive interference is to occur at point P,the two beams must travel paths that differ by

Light has a wavelength of 600 nm in a vacuum.It passes into glass,which has an index of refraction of 1.50.What is the wavelength of the light in the glass?

Suppose your telescope has perfect mirrors and is limited only by diffraction.If you are viewing with light of 400 nm wavelength,what diameter mirror in a space telescope would have 1.0-km resolution of objects on Mars when viewed from above the earth at a time when the Earth-Mars distance of 80 million kilometers?

When a single slit that is 0.050 mm wide is illuminated by light of 550-nm wavelength,what is the angular separation between the first two minima on one side of the central maximum?

An oil film with refractive index 1.48 and thickness 290 nm is floating on water and illuminated with white light at normal incidence.What is the wavelength of the dominant color in the reflected light?

A puddle of water 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 water are 1.40 and 1.33,respectively,what must be the minimum thickness of the film to see a bright reflection?

If the diameter of a radar dish is doubled,what happens to its resolving power assuming that all other factors remain unchanged?

A single-slit diffraction pattern is formed on a distant screen.Assuming the angles involved are small,by what factor will the width of the central bright spot on the screen change if the slit width is doubled?

A soap bubble film that is 106 nm thick and has an index of refraction of 1.42 results in constructive interference in the reflected light if this film is illuminated by a beam of light with a wavelength of 601 nm.What are the next three thicknesses of this film that will also result in constructive interference?

A beam of light of wavelength 600 nm passes through a slit that is 3.1 × 10^-5 m wide,and then goes on to a screen that is 2.2 m from the slit.On the screen,how far is the second dark fringe from the center of the diffraction pattern?

What principle is responsible for light spreading as it passes through a narrow slit?

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?

Which of the following changes would increase the separation between the bright fringes in the diffraction pattern formed by a diffraction grating?

What is the slit spacing of a diffraction grating necessary so that 600-nm light will produce a first order principal maximum at 25.0° away from the centerline?

A camera used for aerial mapping has a lens with a 30-cm diameter maximum aperture and a 42-cm focal length.Light of 550 nm wavelength is used to form the image.Assuming that the resolution of the camera is limited only by diffraction,what is the smallest angle (in milliradians)subtended by an object on the ground that can be resolved by this camera at maximum aperture?

In a two-slit experiment,a third-order bright fringe is observed at an angle of 7.10° away from the centerline.If the wavelength of light is 595 nm,how far apart are the two slits?

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?