Exam 24: Wave Optics

A silicon monoxide (n = 1.45)film of 322-nm thickness is used to coat a glass camera lens (n = 1.56).What wavelength of light in the visible region (390 to 710 nm)will be most efficiently transmitted by this system? (1 nm = 10−⁹ m)

The critical angle for sapphire surrounded by air is 34.4°.Calculate the polarizing angle for sapphire.

A multiple-slit diffraction grating has a slit separation of 1.75 × 10−⁶ m.Find the wavelength of the monochromatic light that will have its second-order bright fringe diffracted through an angle of 36.0°.(1 nm = 10−⁹ m)

A silicon monoxide (n = 1.45)film of 112-nm thickness is used to coat a glass camera lens (n = 1.56).What wavelength of light in the visible region (390 to 710 nm)will be most efficiently transmitted by this system? (1 nm = 10−⁹ m)

Dielectric mirrors are made to have extremely high reflectance

Two flat glass plates are in contact along one end and are separated by a sheet of tissue paper at the other end.A monochromatic source of wavelength 427 nm illuminates the top plate.If 11 dark bands are counted across the top plate,what is the paper thickness? (1 nm = 10−⁹ m)

Newton's rings:

A beam of polarized light of intensity I₀ passes through a sheet of ideal polarizing material.The polarization axis of the beam and the transmission axis of the sheet differ by 38°.What is the intensity of the emerging light?

The blue light from the sky has been polarized by:

Sodium's emission lines at 589.0 nm and 589.6 nm pass through a diffraction grating and form two m = +1 maxima on a viewing screen.For which situation would the spacing between the two lines increase?​

A wavelength of 540 nm yields a first-order maximum at 13.4° with a grating.At what angle will the second-order maximum appear for this wavelength?

Unpolarized light is passed through polarizer 1.The light then goes though polarizer 2 with its plane of polarization at 44.0° to that of polarizer 1.What fraction of the intensity of the original light gets though the second polarizer?

When light passes from a material with a high index of refraction into material with a low index of refraction:

A Young's double-slit apparatus is set up where a screen is positioned 1.2 m from the double slits.If the distance between alternating bright fringes is 0.83 cm,and the light source has a wavelength of 579 nm,what is the separation of the double slits? (1 nm = 10−⁹ m)

Light of wavelength 418 nm is incident on a slit of width 0.35 mm,and a diffraction pattern is produced on a screen that is 2.4 m from the slit.What is the distance of the second dark fringe from the center of the bright fringe? (1 nm = 10−⁹ m)

"Perfect mirrors" are made by

Light of wavelength 450 nm shines on a soap bubble film (n = 1.46).For what soap film thickness,other than the minimum thickness,will constructive interference occur?

If the polarizing angle for diamond is 67.5°,what is the index of refraction of this material?

A diffraction grating has 6 700 lines/cm.What is the slit separation?

In order to produce a sustained interference pattern by light waves from multiple sources,which of the following conditions must be met?