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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Diameter of the objective lens of a telescope is 250 cm. For light of wavelength 600 nm coming from a distant object, the limit of resolution of the telescope is close to what value?
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, 31.5 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 516 nm. Provide your answer in millidegrees (mdeg).
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 telescope has a circular aperture of diameter D = 4.1 m. Light with wavelength λ = 620 nm travels through the telescope. Part (a) Express the limiting angle of resolution, θmin, in terms of λ and D. You may assume that θmin is very small. Part (b) Solve for the numerical value of θmin in degrees.
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.
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)
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.
A light ray whose frequency is 7.00 x 1014 Hz in vacuum is incident on glass (n=1.50). Determine the wavelength of the light after it enters the glass (in nm). (c=3x10% m/s)

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