Concept explainers
Laser light of wavelength 510 nm is traveling in air and shines at normal incidence onto the flat end of a transparent plastic rod that has n = 1.30. The end of the rod has a thin coaling of a transparent material that has refractive index 1.65. What is the minimum (nonzero) thickness of the coating (a) for which there is maximum transmission of the light into the rod; (b) for which transmission into the rod is minimized?
Want to see the full answer?
Check out a sample textbook solutionChapter 35 Solutions
University Physics with Modern Physics, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (14th Edition)
Additional Science Textbook Solutions
The Cosmic Perspective (8th Edition)
College Physics (10th Edition)
Essential University Physics (3rd Edition)
Modern Physics
College Physics: A Strategic Approach (4th Edition)
Introduction to Electrodynamics
- A beam of 580-nm light passes through two closely spaced glass plates at close to normal incidence as shown in Figure P27.23. For what minimum nonzero value of the plate separation d is the transmitted light bright?arrow_forwardTo 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?arrow_forwardA laser beam of wavelength λ = 632.8 nm shines at normal incidence on the reflective side of a compact disc. (a) The tracks of tiny pits in which information is coded onto the CD are 1.60 µm apart. For what angles of reflection (measured from the normal) will the intensity of light be maximum? (b) On a DVD, the tracks are only 0.740 µm apart. Repeat the calculation of part (a) for the DVD.arrow_forward
- Quartz is a uniaxial birefringent material with ordinary refractive index n0 = 1.5443 and extraordinary refractive index ne = 1.5534. It is desired to make a thin plate of quartz to convert incident plane-polarised light of wavelength λ0 = 633 nm into outgoing circular-polarised light. Define the terms ”birefringent” and ”uniaxial”; calculate the required minimum thickness of the plate; and state the required orientation of the n0 and ne axes relative to the plane of polarisation of the incident light.arrow_forwardA CD is read by a semiconductor laser that emits a light with a wavelength of 798nm in air. The beam passes through a plastic substrate of refractive index 1.9. When half the beam illuminates a pit in the disc, part of the beam is reflected from the pit and the other part from the flat plateau between the pits, so that these two parts of the steel extinguish each other. What must the minimum pit depth be so that the part of the beam reflected from a pit extinguishes the part of the beam reflected from the flat plateau?arrow_forwardQuartz is a uniaxial birefringent material with ordinary refractive index no = 1.5443 and extraordinary refractive index ne = 1.5534. It is desired to make a thin plate of quartz to convert incidentplane-polarised light of wavelength λ0 = 633 nm into outgoing circular-polarised light.Define the terms ”birefringent” and ”uniaxial”; calculate the required minimum thickness of theplate; and state the required orientation of the no and ne axes relative to the plane of polarisationof the incident light.arrow_forward
- Quartz is a uniaxial birefringent material with ordinary refractive index no = 1.5443 and extraordinary refractive index ne = 1.5534. It is desired to make a thin plate of quartz to convert incidentplane-polarised light of wavelength λ0 = 633 nm into outgoing circular-polarised light.Define the terms ”birefringent” and ”uniaxial”; calculate the required minimum thickness of theplate; and state the required orientation of the no and ne axes relative to the plane of polarisationof the incident light.arrow_forwardThere is a thin layer of acetone on the surface of the glass plate. The light, the wavelength of which can be adjusted, strikes perpendicular to the surface of the plate. The film does not reflect light at a wavelength of 600.0 nm, and the intensity of the reflected light has a maximum at a wavelength of 700.0 nm. Calculate the thickness of the acetone layer. The refractive index of acetone is 1.25arrow_forwardA thin coating is applied to a lens to protect against UV light. The coating strongly reflects light of wavelength 384 nm and strongly transmits light of wavelength 528 nm (i.e. visible light, near the middle of the visible spectrum.) The index of refraction of the coating material is 1.58 and the lens is made of a material with index 1.48. Find the smallest possible thickness for the coating.arrow_forward
- Astronomers observe the chromosphere of the Sun with a filter that passes the red hydrogen spectral line of wavelength 656.3 nm, called the Holine. The filter consists of a transparent dielectric of thickness d held between two partially aluminized glass plates. The filter is kept at a constant temperature. (a) Find the minimum value of d that will produce maximum transmission of perpendicular H light if the dielectric has an index of refraction of 1.400. (Enter your answer to one decimal place.) nm (b) If the temperature of the filter increases above the normal value increasing its thickness, what happens to the transmitted wavelength? (Assume the index of refraction of the dielectric remains constant.) ---Select--- (c) The dielectric will also pass what near-visible wavelength? One of the glass plates is colored red to absorb this light. nmarrow_forwardA layer of oil, with a refractive index of 1.40798, exactly 1 mm thick, floats on water. Light of vacuum wavelength 632.800 nm, emitted by a stabilized He-Ne laser, is reflected at normal incidence by the oil. Question 1 1 pts The index of refraction of the oil varies slightly with the vacuum wavelength of the light. Find this altered wavelength in nm: Question 2 1 pts How many wavelengths are contained in the light wave passing back and forth through the oil? (Hint: the reflected wave is shifted by X/2.) Please enter your answer as a whole number. Question 3 1 pts Does the light reflected from the two surfaces of the oil interfere constructively or destructively? Destructively O Constructivelyarrow_forwardThe index of refraction of silicate flint glass for red light is 1.620 and for violet light is 1.660. A beam of white light in this glass strikes the glass-air interface at a 28.30° angle of incidence and refracts out into the air. What is the angular separation A between the red and violet components of the spectrum that emerges from the glass? A0=arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax