Exam 23: Light: Geometric Optics

Two very flat glass plates, 16 cm long, are in contact at one end and separated by 0.020 mm at the other end. The space between the plates is occupied by oil with index of refraction 1.45. The Refractive index of the glass plates is 1.55. The plates are illuminated at normal incidence with Monochromatic light, and fringes are observed. When the monochromatic light has a wavelength Of 580 nm, how many bright fringes are visible in the pattern?

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

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?

What do we mean when we say that two light rays striking a screen are in phase with each other?

Monochromatic light is incident on a diffraction grating that is $75 \mathrm {~mm}$ wide and ruled with 50,000 lines. The second-order maximum is seen at $32.5 ^ { \circ }$ . What is the wavelength of the incident light?

As shown in the figure, the orientation of the transmission axis for each of three ideal polarizing sheets is labeled relative to the vertical direction. A beam of light, polarized in the vertical direction, is incident on the first polarizer with an intensity of $1.00 \mathrm {~kW} / \mathrm { m } ^ { 2 }$ . What is the intensity of the beam after it has passed through the three polarizing sheets when $\theta _ { 1 } = 30 ^ { \circ } , \theta _ { 2 } = 30 ^ { \circ }$ , and $\theta _ { 3 } =$ $60 ^ { \circ }$ ?

In a double-slit experiment, the slit separation is $2.0 \mathrm {~mm}$ , and two wavelengths, $750 \mathrm {~nm}$ and 900 $\mathrm { nm }$ , illuminate the slits. A screen is placed $2.0 \mathrm {~m}$ 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?

Light has wavelength $600 \mathrm {~nm}$ 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? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

Light having a frequency in vacuum of $6.0 \times 10 ^ { 14 } \mathrm {~Hz}$ enters a liquid of refractive index $2.0$ . What is the frequency of the light in this liquid? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A two-slit arrangement with $60.3 \mu \mathrm { m }$ separation between the slits is illuminated with $537.0 - \mathrm { nm }$ wavelength light. If a viewing screen is located $2.14 \mathrm {~m}$ from the slits, find the distance on the screen from the first dark fringe on one side of the central maximum to the second dark fringe on the other side.

Light of wavelength $610 \mathrm {~nm}$ is incident on a slit $0.20 \mathrm {~mm}$ wide and the diffraction pattern is viewed on a screen that is $1.5 \mathrm {~m}$ from the slit. What is the width on the screen of the central maximum?

Polarized light of intensity S0 passes through an ideal polarizer. If the electric vector of the polarized light is horizontal what, in terms of the initial intensity S0, is the intensity of the light that Passes through a polarizer if that polarizer is tilted 0.449 rad from the horizontal?

When light travels from air into water,

A two-slit arrangement with $60.3 \mu \mathrm { m }$ separation between the slits is illuminated with $491.0 \mathrm {~nm}$ coherent light. If a viewing screen is located $2.14 \mathrm {~m}$ from the slits, find the distance from the first dark fringe on one side of the central maximum to the second dark fringe on the other side.

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?

What is the slit spacing of a diffraction grating necessary so that $600 - \mathrm { nm }$ light will produce a first order principal maximum at $25.0 ^ { \circ }$ away from the centerline?

In a two-slit experiment using coherent light, the distance between the slits and the screen is $1.10$ $\mathrm { m }$ , and the distance between the slits is $0.0400 \mathrm {~mm}$ . If the second order bright fringe is measured to be $4.20 \mathrm {~cm}$ from the centerline on the screen, what is the wavelength of light?

The distance between two slits is $1.50 \times 10 ^ { - 5 } \mathrm {~m}$ . A beam of coherent light of wavelength $600 \mathrm {~nm}$ illuminates these slits, and the distance between the slit and the screen is $2.00 \mathrm {~m}$ . What is the distance on the screen between the central bright fringe and the fourth-order bright fringe?

Monochromatic light of wavelength $500 \mathrm {~nm}$ is incident normally on a diffraction grating. If the third-order maximum of the diffraction pattern is observed at $32.0 ^ { \circ }$ , what is the total number of maxima can be seen?

Unpolarized light of intensity $I _ { 0 }$ passes through four ideal polarizing sheets. The polarizing angle of each sheet is rotated $30 ^ { \circ }$ from the one before it, so that the last sheet is aligned at $90 ^ { \circ }$ to the first sheet. What is the intensity of the light emerging from the fourth sheet in terms of $I _ { 0 }$ ?