Answered: What is the angular position of the…

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter3: Interference

Section: Chapter Questions

Problem 63AP: A hydrogen gas discharge lamp emits visible light at four wavelengths, =410 , 434, 486, and 656 nm....

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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.
A hydrogen gas discharge lamp emits visible light at four wavelengths, =410 , 434, 486, and 656 nm. (a) If light from this lamp falls on a N slits separated by 0.025 mm, how far from the central maximum are the third maxima when viewed on a screen 2.0 m from the slits? (b) By what distance are the second and third maxima separated for l=486 nm?
A telescope can be used to enlarge the diameter of a laser beam and limit diffraction spreading. The laser beam is sent through the telescope in opposite the normal direction and can then be projected onto a satellite or the moon. (a) If this is done with the Mount Wilson telescope, producing a 2.54-m-diameter beam of 633-nm light, what is the minimum angular spread of the beam? (b) Neglecting atmospheric effects, what is the size of the spot this beam would make on the moon, assuming a lunar distance of 3.84108 m?
Diffraction spreading for a flashlight is insignificant compared with other limitations in its optics, such as spherical aberrations in its mirror. To show this, calculate the minimum angular spreading of a flashlight beam that is originally 5.00 cm in diameter with an average wavelength of 600 nm.
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.
On a bright clear day, you are at the top of a mountain and looking at a city 12 km away. There are two tall towers 20.0 m apart in the city. Can your eye resolve the two towers if the diameter of the pupil is 4.0 mm? If not, what should be the minimum magnification power of the telescope needed to resolve the two towers? In your calculations use 550 nm for the wavelength of the light.
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.
A Michelson interferometer has two equal arms. A mercury light of wavelength 546 nm is used for the interferometer and stable fringes are found. One of the arms is moved by 1.5 m. How many fringes will cross the observing field?
The primary mirror of the orbiting Hubble Space Telescope has a diameter of 2.40 m. Being in orbit, this telescope avoidsthe degrading effects of atmospheric distortion on its resolution. (a) What is the angle between two just-resolvable point lightsources (perhaps two stars)? Assume an average light wavelength of 550 nm. (b) If these two stars are at the 2 million lightyear distance of the Andromeda galaxy, how close together can they be and still be resolved? (A light year, or ly, is thedistance light travels in 1 year.)
A ray path is passing through the interface between Layer 1 and Layer 2 withincident angle 45 degree. Suppose the velocity of Layer 1 is 500m/s, what is thevelocity of Layer 2 if we expect a critical refraction on the interface?a. 850m/sb. 250m/sc. 707m/sd. 354m/s
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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What is the angular position of the first minimum when light with a wavelength of 500 nm is diffracted on the opening that is 1.5 μm wide? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a 9.6 degres b 19.5 degrees с 30 degrees 41.8 degrees