The resolution of a microscope describes the scale of the smallest detailthat is clearly observable through the microscope. For a microscope witha moderately high-quality objective lens, the resolution is approximatelyequal to the wavelength of light used. By this criteria, what is thesmallest detail observable with a microscope that uses ultraviolet light offrequency 1.12 × 1015 Hz? Report your answer in units ofmicrometers.

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Answered: The resolution of a microscope…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A 2mW laser beams of wavelength λ = 6×10 cm is focussed on the retina by a human eye lens of focal length f = 2.5 cm and pupil diameter 2 mm. The intensity on the retina will be of the order of (a) 10¹ W/m² (b) 106W/m² (c) 108W/m² (d) 10²W/m²
The Rayleigh criterion provides a convenient way to describe the theoretical resolution (e.g. an ability to distinguish two bright objects ) of an optical system. The criterion states that two small bright sources of light can be resolved if the first diffraction minimum of the image of one source point just coincides with of further apart then the first maximum of another (see figure below). A converging lens, 34.2 mm in diameter, is used to form images of distant objects. Considering the diffraction by the lens, what angular separation must two distant point objects have in order to satisfy Rayleigh's criterion? Assume that the wavelength of the light from the distant objects is 431 nm. Provide your answer in millidegrees (mdeg). Answer: Choose... +
A physicist is calibrating a spectrometer that uses a diffraction grating to separate light in order of increasing wavelength (?A,?B, and ?C). He observes three distinct first-order spectral lines at the following respective angles ?m (where m denotes order). ?1 = 12.8°, ?1 = 14.2°, ?1 = 15.0° (a)If the grating has 3,760 grooves per centimeter, what wavelength (in nm) describes each of these spectral lines? at ?1 = 12.8° ?A= nm ?1 = 14.2° ?B= nm ?1 = 15.0° ?C=. nm (b) At what angle (in degrees) would each of these lines be found in the second-order spectrum? for ?A ?2= ° for ?B ?2= ° for ?C ?2= °
A monochromatic beam of light in air has a wavelength of 589 nm in air. it passes through Carbon disulfate (n=1.63) and then through glass (=1.52). what is its wavelength in glass? Group of answer choices 421 nm 388 nm 487 nm 361 nm
A 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.
In an experiment to monitor the Moon’s surface with a light beam, pulsed radiation from a ruby laser (wave = 0.69 mm) was directed to the Moon through a reflecting telescope with a mirror radius of 1.3 m. A reflector on the Moon behaved like a circular flat mirror with radius 10 cm, reflecting the light directly back toward the telescope on Earth.The reflected light was then detected after being brought to a focus by this telescope. Approximately what fraction of the original light energy was picked up by the detector? Assume that for each direction of travel all the energy is in the central diffraction peak.
A coating is being applied to reduce the reflectivity of a pane of glass to light with a frequency of 4.14 × 10¹4 Hz that is incident normally on the pane. If the material has an index of refraction of 1.34 and the glass has an index of refraction of 1.537, what is the minimum thickness the coating should have in nanometers? Please keep one decimal place in your answer. (c = 3.00 × 108 m/s)
Q1: If the refractive indexes of the mica plate in the direction of the slow axis and the fast axis are as follows: n =1.5977, n1= 1.5936, Find the thickness of this plate needed to make the optical path difference between the two rays passing through the plate equal to a quarter of the wavelength if light of its wavelength was passed through A = 5890 nm.
You wish to study the radio emission from the sun at wavelength 1.70 cm. In order to see details on the sun’s surface no larger than the diameter of the earth, the limit of resolution of the telescope must be 9.00 x 10-5 rad (about 0.005°). Using the Rayleigh criterion, find (a) the minimum diameter your radio telescope must have and (b) the limit of resolution of this telescope at wavelength 21.1 cm.

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