Exam 24: Wave Optics

In a 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 metallic sheet has a large number of parallel slits,5.0 mm wide and 20 cm apart.This sheet is used as a grating for microwaves.A wide parallel beam of microwaves is incident normally on the sheet.What is the smallest microwave frequency for which only the central maximum will occur? (c = 3.00 × 10⁸ m/s)

When light of wavelength 450 nm falls on a single slit of width 0.30 mm,what is the angular width of the central bright region?

In a double-slit interference experiment you are asked to use laser light of different wavelengths and determine the separation between adjacent maxima.You observe that this separation is greatest when you illuminate the double slit with

Given perfect lenses,what is the main reason that a telescope with a large-diameter objective lens can produce a sharper image than one with a small-diameter lens?

A beam of light traveling in air strikes a glass slab at an angle of incidence less than 90°.After entering the glass slab,what does the beam of light do? (There could be more than one correct choice.)

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 1.5 and 1.33,respectively.When the surface of the oil is illuminated from above at normal incidence with white light,what are the two wavelengths of light between 400 nm to 800 nm wavelength that are most strongly reflected?

A thin laser beam traveling in air strikes the surface of a glass plate at 41.2° with the normal.In the plate,this beam makes an angle of 22.4° with the normal.What is the speed of light in this glass?(c = 3.0 × 10⁸ m/s)

A grating is to be used to find the wavelength of the emission spectrum of a gas.The grating spacing is not known,but light of a known wavelength of 632.8 nm is deflected by 43.2° in the second order by this grating.Light of the wavelength to be measured is deflected by 34.9° in the second order.What is the wavelength of the light that is to be measured?

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?

A beam of monochromatic light passes through a slit that is 11.0 μm wide.If the first order dark fringe of the resulting diffraction pattern is at an angle of 4.31° away from the centerline,what is the wavelength of light?

In one particular case,the limiting angle of resolution for an eye is 1.4 × 10^-4 rad.What is the minimum separation between two point sources of light that the eye can distinguish if they are at a distance of 40 m from the observer?

A single thin slit forms a diffraction pattern when illuminated with monochromatic light.The fourth minimum of the pattern occurs at an angle of 32.0° away from the central maximum.At what angle does the fifth minimum occur?

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?

A beam of light of wavelength 610 nm passes through a slit that is 1.90 µm wide.At what the angle away from the centerline does the second dark fringe occur?

Monochromatic light of wavelength 500 nm is incident normally on a grating.If the third-order maximum of the diffraction pattern is observed at 32.0°,what is the total number of maxima can be seen?

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 having a frequency in vacuum of 6.0 × 10¹⁴ Hz enters a liquid of refractive index 2.0.What is the frequency of the light in this liquid? (c = 3.0 × 10⁸ m/s)

If the index of refraction of a material is 2,this means that light travels

Light having a speed in vacuum of 3.0 × 10⁸ m/s enters a liquid of refractive index 2.0.In this liquid,its speed will be