Exam 24: Wave Optics

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?

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?

A light beam has speed c in vacuum and speed v in a certain plastic.The index of refraction n of this plastic is

A light beam having a wavelength of 470 nm in air is directed into glycerine at an angle of 75.0° with the normal in air.Glycerine has a refractive index of 1.47.(c = 3.0 × 10⁸ m/s) (a)What are the frequency and wavelength of the light in the glycerine? (b)What angle does the light beam make with the normal in the glycerine?

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?

Astronomers are proud of their telescopes and often say they can "resolve a dime at so many miles." How many miles from a $\text { 102-cm-diameter }$ telescope mirror can you place a coin of diamete $\mathrm { r } 3.0 \mathrm {~cm}$ and just resolve the coin using light of wavelength $389 \mathrm {~nm} ?$ (1 mi = 1.609 km)

Light of wavelength 500 nm illuminates a round 0.50-mm-diameter hole.A screen is placed 6.0 m past the slit.What is the width of the central bright circle on the screen?

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?

Two radio antennas are 120 m apart on a north-south line.The two antennas radiate in phase at a frequency of 5.6 MHz.All radio measurements are made far from the antennas.What is the smallest angle,reckoned north of east from midway between the antennas,at which destructive interference of the two radio waves occurs? (c = 3.00 × 10⁸ m/s)

The speed of light in a material is $0.41 \mathrm { c }$ What is the critical angle of a light ray at the interface between the material and a vacuum?

Two thin slits are 6.00 μm apart.Monochromatic coherent light falls on these slits,and produces a fifth-order bright interference fringe at an angle of 32.3° away from the centerline.What is the wavelength of the light?

When a 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?

Monochromatic light is incident on a 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 world's largest refracting telescope is operated at the Yerkes Observatory in Wisconsin.It has an objective lens of diameter of 1.02 m.Suppose such an instrument were mounted on a satellite at an elevation of 300 km above the ground and used to map surface details.If the telescope is forming images with light of wavelength 550 nm,what is the minimum separation of two objects on the ground whose separation could be clearly resolved by this lens?

At most,how many bright fringes can be formed on one side of the central bright fringe (not counting the central bright fringe)when light of 625 nm falls on a pair of slits that are $6.77 \times 10 ^ { - 6 } \mathrm {~m}$ apart?

A light beam with wavelength 500 nm is reflected constructively from a thin layer of oil having index of refraction 1.25.The oil floats on the top of water of index of refraction 1.33.What is the minimum thickness of the layer of oil?

A double-slit interference experiment is performed in the air.Later,the same apparatus is immersed in benzene (which has an index of refraction of 1.50),and the experiment is repeated.When the apparatus is in benzene,you observe that the interference fringes are

A 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?

Two radio antennas are 130 m apart on a north-south line.The two antennas radiate in phase at a frequency of 3.6 MHz.All radio measurements are made far from the antennas.What is the smallest angle,reckoned east of north from midway between the antennas,at which constructive interference of two radio waves occurs? (c = 3.00 × 10⁸ m/s)

If a sheet containing two very thin slits is heated (without damaging it),what happens to the angular location of the first-order interference minimum?