Light with a wavelength in vacuum of 578 nm falls perpendicularly on a biological specimen that is 1.10 um thick. The light splits into two beams polarized at right angles, for which the indices of refraction are n, = 1.320 and n, = 1.333, respectively. (a) Calculate the wavelength of each component of the light while it is traversing the specimen. (Give your answers to at least one decimal place.) nm nm (b) Calculate the phase difference between the two beams when they emerge from the specimen. Need Help? Read It

Light with a wavelength in vacuum of 578 nm falls perpendicularly on a biological specimen that is 1.10 um thick. The light splits into two beams polarized at right angles, for which the indices of refraction are n, = 1.320 and n, = 1.333, respectively. (a) Calculate the wavelength of each component of the light while it is traversing the specimen. (Give your answers to at least one decimal place.) nm nm (b) Calculate the phase difference between the two beams when they emerge from the specimen. Need Help? Read It

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter1: The Nature Of Light

Section: Chapter Questions

Problem 69P: Show that if you have three polarizing filters, with the second at an angle of 45.0to the first and...

See similar textbooks

Similar questions

Three polarizing sheets are placed together such that the transmission axis of the second sheet is oriented at 25.0° to the axis of the first, whereas the transmission axis of the third sheet is oriented at 40.0° (in the same sense) to the axis of the first. What fraction of an intensity of an incident unpolarized beam is transmitted by the combination?
If you have completely polarized light of intensity 150 W/m2 , what will its intensity be after passing through a polarizing filter with its axis at an 89.0 angle to the light’s polarization direction?
The movable mirror of a Michelson interferometer is attached to one end of a thin metal rod of length 23.3 mm. The other end of the rod is anchored so it does not move. As the temperature of the rod changes from 15°C to 25 C , a change of 14 fringes is observed. The light source is a He Ne laser, =632.8 nm . What is the change in length of the metal bar, and what is its thermal expansion coefficient?
To save money on making military aircraft invisible to radar, an inventor decides to coat them with a nonreflective material having an index of refraction of 1.20, which is between that of air and the surface of the plane. This, he reasons, should be much cheaper than designing Stealth bombers. (a) What thickness should the coating be to inhibit the reflection of 4.00-cm wavelength radar? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
Astronomers observe the chromosphere of the Sun with a filter that passes the red hydrogen spectral line of wavelength 656.3 nm, called the H line. The filter consists of a transparent dielectric of thickness d held between two partially aluminized glass plates. The filter is held at a constant temperature. (a) Find the minimum value of d that produces maximum transmission of perpendicular H light if the dielectric has an index of refraction of 1.378. (b) What If? If the temperature of the filter increases above the normal value, increasing its thickness, what happens to the transmitted wavelength? (c) The dielectric will also pass what near-visible wavelength? One of the glass plates is colored red to absorb this light.
Show that if you have three polarizing filters, with the second at an angle of 45.0to the first and at third at an angle of 90.0to the first, the intensity of light passed by the first will be reduced to 25.0% of its value. (This is in contrast to having only the first and third, which reduces the intensity to zero, so that placing the second between them increases the intensity of the transmitted light.)
Check Your Understanding Although we did no specify the direction in Example 1.7, let’s say the polarizing filter was rotated clockwise by 71.6° to reduce the light intensity by 90.0%. What would be the intensity reduction if the polarizing filter were rotated counterclockwise by 71.6°’
Both sides of a uniform film that has index of refraction n and thickness d are in contact with air. For normal incidence of light, an intensity minimum is observed in the reflected light at λ2 and an intensity maximum is observed at λ1, where λ1 > λ2. (a) Assuming no intensity minima are observed between λ1 and λ2, find an expression for the integer m in Equations 27.13 and 27.14 in terms of the wavelengths λ1 and λ2. (b) Assuming n = 1.40, λ1 = 500 nm, and λ2 = 370 nm, determine the best estimate for the thickness of the film.
A Michelson interferometer is used to measure the wavelength of light put through it. When the movable mirror is moved by exactly 0.100 mm, the number of fringes observed moving through is 316. What is the wavelength of the light?
Components of some computers communicate with each other through optical fibers having an index of refraction n = 1.55. What time in nanoseconds is required for a signal to travel 0.200 m through such a fiber?
If you have completely polarized light of intensity150 W / m2, what will its intensity be after passing througha polarizing filter with its axis at an 89.0º angle to the light’spolarization direction?
Prove that, if I is the intensity of light transmitted by twopolarizing filters with axes at an angle θ and I′ is theintensity when the axes are at an angle 90.0º−θ, thenI + I′ = I0, the original intensity. (Hint: Use thetrigonometric identities cos (90.0º−θ) = sin θ andcos2 θ + sin2 θ = 1. )