Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337671729
Author: SERWAY
Publisher: Cengage
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Chapter 36, Problem 12P
To determine
The variation of heights of the tide during the previous month.
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The radar system of a navy cruiser transmits at a wavelength of 1.6 cm, from a circular antenna with a diameter of 2.3 m. At a range of 6.2 km, what is the smallest distance that two speedboats can be from each other and still be resolved as two separate objects by the radar system?
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 telescope has a circular aperture of diameter D = 4.4 m. A light with wavelength λ = 690 nm travels through the telescope.
Express the limiting angle of resolution, θmin, in terms of λ and D. You may assume that θmin is very small.
θmin =
Chapter 36 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 36.2 - Which of the following causes the fringes in a...Ch. 36.3 - Using Figure 36.6 as a model, sketch the...Ch. 36.5 - One microscope slide is placed on top of another...Ch. 36 - Two slits are separated by 0.320 mm. A beam of...Ch. 36 - Prob. 2PCh. 36 - A laser beam is incident on two slits with a...Ch. 36 - Prob. 4PCh. 36 - Prob. 5PCh. 36 - Light with wavelength 442 nm passes through a...Ch. 36 - Prob. 7P
Ch. 36 - A student holds a laser that emits light of...Ch. 36 - Coherent light rays of wavelength strike a pair...Ch. 36 - In Figure P36.10 (not to scale), let L = 1.20 m...Ch. 36 - Prob. 11PCh. 36 - Prob. 12PCh. 36 - In the double-slit arrangement of Figure P36.13, d...Ch. 36 - Monochromatic light of wavelength is incident on...Ch. 36 - Prob. 15PCh. 36 - Show that the distribution of intensity in a...Ch. 36 - Prob. 17PCh. 36 - Monochromatic coherent light of amplitude E0 and...Ch. 36 - Prob. 19PCh. 36 - Prob. 20PCh. 36 - Prob. 21PCh. 36 - Prob. 22PCh. 36 - When a liquid is introduced into the air space...Ch. 36 - Prob. 24PCh. 36 - Prob. 25PCh. 36 - Prob. 26PCh. 36 - Prob. 27PCh. 36 - Prob. 28APCh. 36 - Prob. 29APCh. 36 - Prob. 30APCh. 36 - Prob. 31APCh. 36 - Prob. 32APCh. 36 - In a Youngs double-slit experiment using light of...Ch. 36 - Prob. 34APCh. 36 - Figure P36.35 shows a radio-wave transmitter and a...Ch. 36 - Prob. 36APCh. 36 - In a Newtons-rings experiment, a plano-convex...Ch. 36 - Prob. 38APCh. 36 - A plano-concave lens having index of refraction...Ch. 36 - Prob. 40APCh. 36 - Interference fringes are produced using Lloyds...Ch. 36 - A plano-convex lens has index of refraction n. The...Ch. 36 - Prob. 43APCh. 36 - Prob. 44APCh. 36 - Prob. 45APCh. 36 - Prob. 46CPCh. 36 - Prob. 47CPCh. 36 - Prob. 48CPCh. 36 - Prob. 49CPCh. 36 - Prob. 50CP
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- In the figure, two radio-frequency point sources S1 and S2, separated by distance d = 1.6 m, are radiating in phase with A = 0.4 m. A detector moves in a large circular path around the two sources in a plane containing them. How many maxima does it detect? Number x S₁ S2 Unitsarrow_forwardtwo radiofrequency point sources S1 and S2, separated by distance d= 2.0 m, are radiating in phase with l = 0.50 m. A detector moves in a large circular path around the two sources in a plane containing them. How many maxima does it detect?arrow_forwardA 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 3.84×108 m ?arrow_forward
- In the figure below, sources A and B emit long-range radio waves of wavelength 1 = 450 m, with the phase of the emission from A ahead of that from source B by 90°. The distance ra from A to detector D is greater than the corresponding distance rg by 60 m. What is the phase difference at D? 0.17 TBarrow_forwardA 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. If this is done with the Mount Wilson telescope, producing a 2.54 m diameter beam of 613 nm light, what is the minimum angular spread of the beam? Neglecting atmospheric effects, what is the size of the spot this beam would make on the Moon, assuming a lunar distance of 3.84×108 m?arrow_forwardThe width of a telescope aperture is important because it determines what you will be able to resolve. (a) You are out stargazing with your 11.2-cm telescope. You point your telescope at an interesting formation in the sky, which you think is a binary star system. A binary star system consists of two stars in orbit around each other. You guess that the average wavelength coming from the stars is 526 nm. What is the minimum angular separation between the two stars required for your telescope to resolve the two stars of the binary system? rad (b) Having graduated with a degree in astronomy, you seek a job at the Arecibo radio telescope. You use a large radio telescope (300-m diameter) to observe the same binary system that you observed in part (a). You estimate that the average radio emissions from the system have a wavelength of 5.04 cm. What is the minimum angular separation required for the Arecibo telescope to resolve the two stars of the binary system? rad Additional Materialsarrow_forward
- A telescope has a circular aperture of diameter D = 4.5 m. A light with wavelength λ = 670 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.arrow_forwardThe primary mirror of the orbiting telescope has a diameter of 6.7 cm. being in orbit, this telescope avoids the degrading effects of atmospheric distortion on its resolution. Assuming an average light wavelength of 550 nm, what is the angle between two just-resolvable point light sources?arrow_forwardA radio station has two antennas. The antennas are a distance d apart, where d equals half the broadcast wavelength. The antennas are driven in phase with each other. Let the x-axis be the line that runs through the two antennas. The angles are all measured counterclockwise from the +x-direction. (For the following, assume an observer is positioned a distance D far from the midpoint of the antennas, so that D ≫ d.) (a) In which directions is the strongest signal radiated? 0°, 180° 90°, 270° 0°, 90°, 180°, 270° 45°, 135°, 225°, 315° (b) In which directions is the weakest signal radiated? 0°, 180° 90°, 270° 0°, 90°, 180°, 270° 45°, 135°, 225°, 315°arrow_forward
- The width of the central peak in a single-slit diffraction pattern is 5.0 mm. The wavelength of the light is 600. nm, and the screen is 1.9 m from the slit. (a.) What is the width of the slit in microns? (D= ?) (b.) What is the ratio of the intensity at 4.2mm from the center of the pattern to the intensity at the center of the pattern? (I/I0= ?)arrow_forwardAlthough we have discussed single-slit diffraction only for a slit, a similar result holds when light bends around a straight, thin object, such as a strand of hair. In that case, a is the width of the strand. From actual lab measurements on a human hair, it was found that when a beam of light of wavelength 632.8nm was shone on a single strand of hair, and the diffracted light was viewed on a screen 1.25m away, the first dark fringes on either side of the central bright spot were 5.22cm apart. How thick was this strand of hair?arrow_forwardA transmitting antenna at the top of a tower has a height of 36 m and the height of the receiving antenna is 49 m. What is maximum distance between them, for satisfactory communication in the LOS mode? (Radius of earth = 6400 km)arrow_forward
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