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…

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 86AP: How far apart must two objects be on the moon to be distinguishable by eye if only the diffraction...

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A camera uses a lens with aperture 2.0 cm. What is the angular resolution of a photograph taken at 700 nm wavelength? Can it resolve the millimeter markings of a ruler placed 35 m away?
Radio telescopes are telescopes used for the detection of radio emission from space. Because radio waves have much longer wavelengths than visible light, the diameter of a radio telescope must be very large to provide good resolution. For example, the radio telescope in Penticton, BC in Canada, has a diameter of 26 m and can be operated at frequencies as high as 6.6 GHz. (a) What is the wavelength corresponding to this frequency? (b) What is the angular separation of two radio sources that can be resolved by this telescope? (c) Compare the telescope’s resolution with the angular size of the moon.
How far apart must two objects be on the moon to be distinguishable by eye if only the diffraction effects of the eye’s pupil limit the resolution? Assume 550 nm for the wavelength of light, the pupil diameter 5.0 mm, and 400,000 km for the distance to the moon.
Check Your Understanding What is the angular resolution of the Arecibo telescope shown in Figure 4.20 when operated at 21-cm wavelength? How does it compare to the resolution of the Hubble Telescope? Figure 4.20 A 305-m-diameter paraboloid at Arecibo in Puerto Rico is lined with reflective material, making it into a radio telescope. It is the largest curved focusing dish in the world. Although D for Arecibo is much larger than for the Hubble Telescope, it detects radiation of a much longer wavelength and its diffraction limit is significantly poorer than Hubble’s. The Arecibo telescope is still very useful, because important information is carried by radio waves that is not carried by visible light. (credit: Jeff Hitchcock)
The structure of the NaCl crystal forms reflecting planes 0.541 nm apart. What is the smallest angle, measured from these planes, at which X-ray diffraction can be observed, if X-rays of wavelength 0.085 nm are used?
If a hologram is recorded using monochromatic light at one wavelength but its image is viewed at another wavelength, say 10% shorter, what will you see? What if it is viewed using light of exactly half the original wavelength?
Suppose you have a lens system that is to be used primarily for 700-nm red light. What is the second thinnest coating of fluorite (magnesium fluoride) that would be nonreflective for this wavelength?
The first-order Bragg angle for a certain crystal is 12.1°. What is the second-order angle?
35.10 What is the diffraction limited an- gular resolution for the following optical systems for light of wavelength 550 nm (in rad)? (a) The human eye in bright light: Pupil diameter 1.5 mm. (b) The human eye in dim light: Pupil diameter 8 mm. (c) © A pair of Binoculars: 55 mm diame- ter aperture. (d) An amateur telescope: 70 mm di- ameter mirror. (e) Hubble space telescope: 2.4 m aperture. (f) The Gran Telescopio Canarias (worlds largest reflecting tele- scope): 10.4 m diameter mirror.
In a certain photo-chemical experiment, the light from a sodium lamp at 589.0 nmneeds to be diffracted at an angle of 55 degrees in thesecond diffraction order. Howmany lines/mm would your grating need to have in orderto do this?
A particular person's pupil is 4.5 mm in diameter, and the person's normal‑sighted eye is most sensitive at a wavelength of 552 nm. What is angular resolution ?R of the person's eye, in radians?
Question 1 a)Calculate the resolving power of a Fabry-Perot interferometer made of re- flecting surfaces of reflectivity 0.85 and separated by a distance 1 mm at λ = 4880 ˚A. b. Calculate the minimum spacing between the plates of a Fabry?Perot interfer- ometer which will resolve two lines with ∆λ = 0.1 ˚Aat λ = 6000 ˚A. Assume the reflectivity to be 0.8. need both or else I will downvote

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