7&8 Resolution Limits7. What is the resolving power of a microscope with a 5 mm diameter objective and f = 9 mm forlight with a wavelength of 560 nm?8. Two stars that are 19 light years away are barely resolved by a 66 cm diameter mirror telescope.How far apart are the stars if we use 540 nm for the wavelength of the light and assume that theresolution is limited by diffraction.

7. Given: The wavelength of light used is λ=560nm=560×10−9m=5.6×10−7mThe diameter of objective lens…

Answered: Resolution Limits 7. What is the…

University Physics Volume 3

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Chapter4: Diffraction

Section: Chapter Questions

Problem 60P: What is the minimum diameter mirror on a telescope that would allow you to see details as small as...

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What is the minimum diameter mirror on a telescope that would allow you to see details as small as 5.00 km on the moon some 384,000 km away? Assume an average wavelength of 550 nm for the light received.
1. A diffraction-limited telescope with a 7.6 cm aperture is aimed at target 12.5 km away. Assuming light of 590 nm wavelength and neglecting air turbulence, what size details can be resolved by the telescope? A. 10 cm B. 11cm C. 12 cm D. 13 cm
A diffraction-limited telescope with a 7.6-cm aperture is aimed at target 12.5 km away. Assuming light of 500 nm wavelength and neglecting air turbulence, determine the size of details can be resolved by the telescope. O A. 20 cm. B. 5 cm c. 15 cm O D. 10 cm
Why are there limits to the resolving power of a telescope? A The aperture is a double slit. B The aperture is a slit with two edges. C The aperture through which the light passes limits the amount of light that forms the image. D The aperture through which the light passes diffracts the light and blurs the image.
a. What is the resolving power (in arc seconds) of a 84 cm (33 in.) telescope at a wavelength of 560 nm? b. What do two stars 1.5 arc seconds apart look like through this telescope? - The two points of light are well separated from each other. -The two points of light are only just separated from each other — they are distinguishable but appear to touch. - The two points of light are indistinguishable from each other.
4. Pluto and its moon Nix are separated by 48700 km. An undergraduate researcher wants to determine if the 5.08 m diameter Mount Palomar telescope can resolve the bodies when they are 6.40x109 km from Earth. Assume an average wavelength of 535 nm for the light. To determine the answer, calculate the ratio of the telescope’s angular resolution θT to the angular separation θP N of the celestial bodies.
3. As seen by an observer on Earth, two stars are separated by an angle of 0.0005°. What is the minimum diameter of a telescope required for an Earth astronomer to see two separate stars? (Assume a circular aperture and an average wavelength for the light of 500 nm.) 4. Sound waves of 675 Hz travel at a speed of 345 m/s through a doorway in a soundproof wall. If the doorway is 1.5 m wide, how many "quiet spots" (locations where no sound is heard") will there be along a line parallel to the wall? What will be the angular location of these quiet spots?
5. A diffraction-limited telescope with a 7.6 cm aperture is aimed at target 12.5 km away. Assuming light of 580 nm wavelength and neglecting air turbulence, what size details can be resolved by the telescope? A) 8.2 cm B) 10.0 cm C) 11.3 cm D) 12.43 cm E) 12.88 cm
2. You use a digital camera that has a detector physical size of 6 mm to produce a panchromatic photo at a scale of 1:10,000. What is the GSD?
l. The vViewing C tral SC.ce uuIk Inges ana brignt fringe. 7. Light of wavelength 589 nm is used to view an object under a microscope. If the aperture of the objective has a diameter of 0.900 cm, (a) what is the limiting angle of resolution? (b) If it were possible to use visible light of any wavelength, what would be the maximum limit of resolution for this microscope? bvometio lieht from.
A telescope can be used to enlarge the diameter of a laser beam and limit diffraction spreading. The laser beam is sent through the eyepiece and out the objective, and can then be projected onto a satellite or the Moon. a. If this is done with the Mount Wilson telescope, producing a 2.1 m diameter beam of 690 nm light, what is the minimum angular spread, in radians, of the beam? b. Neglecting atmospheric effects, what is the diameter of the spot this beam would make on the Moon, assuming a lunar distance of 3.84×108 m?
2. A laser beam has a power of 50 mW. It has an aperture of 5 x 10 m and wave- length 700 nm. Calculate the angular spread of laser beam If this laser beam is focused through the lens of focal length 0.2 m with area of spread 0.48 x 10 8 m2, then what will be the intensity of image?

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