Exam 28: Physical Optics: Interference and Diffraction

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?

Assuming a pupil diameter of 3 mm,what is the angular resolution of the human eye for light at the middle of the visible spectrum (550 nm)?

Light having a wavelength in vacuum of 600 nm enters a liquid of refractive index 2.0.In this liquid,what is the wavelength of the light? (c = 3.0 × 10⁸ m/s)

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 first dark fringe occur?

In a two-slit experiment,the slit separation is 3.00 × M.The interference pattern is created on a screen that is 2.00 m away from the slits.If the 7th bright fringe on the screen is 10.0 cm away from the central fringe,what is the wavelength of the light?

Coherent light of wavelength 540 nm passes through a pair of thin slits that are 3.4 × M apart.At what angle away from the centerline does the second bright fringe occur?

What is the angular separation of two spectral lines of wavelengths 497 nm and 251 nm formed in the third order with a diffracting grating having 587 lines per millimeter?

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 wavelength of the illuminating light is doubled?

Light has wavelength 600 nm in a vacuum.It passes into glass,which has an index of refraction of 1.5.What is the frequency of the light inside the glass? (c = 3.0 × 10⁸ m/s)

A certain astronomical telescope has a diameter of 5.60 m.What is the minimum angle of resolution for this telescope when it is forming images using light of wavelength 620 nm?

The pupil of a person's eye changes from a diameter of 3.5 mm to 1.5 mm as the illumination is increased.By what factor does the minimum angle of resolution change?

Light of the same wavelength passes through two diffraction gratings.One grating has 4000 lines/cm,and the other one has 6000 lines/cm.Which grating will spread the light through a larger angle in the first-order pattern?

An 18-mm-wide diffraction grating has rulings of 710 lines per millimeter.Monochromatic light of wavelength 506 nm wavelength is incident normally on the grating.What is the largest angle from the centerline at which an intensity maximum is formed?

Light of wavelength 580 nm is incident on a slit of width 0.30 mm.An observing screen is placed 2.0 m past the slit.Find the distance on the screen of the first order dark fringe from the center of the pattern.

A beam of light of wavelength 630 nm is incident on a slit that is 0.400 mm wide.If the distance between the slit and the screen is 1.80 m,what is the width on the screen of the central bright fringe?

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?

A diffraction grating has 6.00 × 10³ lines per centimeter ruled on it.What is the angular separation between the second and the third orders on the same side of the central order when the grating is illuminated with a beam of light of wavelength 550 nm?

A thin uniform film of oil that can be varied in thickness covers a sheet of glass of refractive index 1.52.The refractive index of the oil is 1.64.Light of wavelength 555 nm is shone from air at normal incidence on the film.Starting with no oil on the glass,you gradually increase the thickness of the oil film until the first interference maximum in the reflected light occurs.What is the thickness of the oil film at that instant?

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?