26. Ripple tanks were used to perform a series of experiments on diffraction. The followingdiagrams represent the observations made.Consider the following possible conclusions:1)As wavelength increases, the amount of diffraction increases.II)As slit width increases, the amount of diffraction decreases.As wavelength increases, the amount of diffraction decreases.Based on these observations alone, the correct conclusions would be(a) I only(b) II only(c) III only(d) I and II only(e) II and III only

1. Identify Forces:Gravitational force (mg) acting downwards (weight of the helicopter).Lift force…

Answered: 26. Ripple tanks were used to perform a…

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter27: Wave Optics

Section: Chapter Questions

Problem 51PE: (a) Find the angle between the first minima for the two sodium vapor lines, which have wavelengths...

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The Very Large Array (VLA) is a set of 27 radio telescope dishes in Catron and Socorro counties, New Mexico (Fig. P37.37). The antennas can be moved apart on railroad tracks, and their combined signals give the resolving power of a synthetic aperture 36.0 km in diameter. (a) If the detectors are tuned to a frequency of 1.40 GHz, what is the angular resolution of the VLA? (b) Clouds of interstellar hydrogen radiate at the frequency used in part (a). What must be the separation distance of two clouds at the center of the galaxy, 26 000 light-years away, if they are to be resolved? (c) What If? As the telescope looks up, a circling hawk looks down. Assume the hawk is most sensitive to green light having a wavelength of 500 nm and has a pupil of diameter 12.0 mm. Find the angular resolution of the hawks eye. (d) A mouse is on the ground 30.0 m below. By what distance must the mouses whiskers be separated if the hawk can resolve them? Figure P37.37
(a) Find the angle between the first minima for the two sodium vapor lines, which have wavelengths of 589.1 and 589.6 nm, when they fall upon a single slit of width 2.00 m. (b) What is the distance between these minima if the diffraction pattern falls on a screen 1.00 m from the slit? (c) Discuss the ease or difficulty of measuring such a distance.
Two closely spaced wavelengths of light are incident on a diffraction grating. (a) Starting with Equation 37.7, show that the angular dispersion of the grating is given by dd=mdcos (b) A square grating 2.00 cm on each side containing 8 000 equally spaced slits is used to analyze the spectrum of mercury. Two closely spaced lines emitted by this element have wavelengths of 579.065 nm and 576.959 nm. What is the angular separation of these two wavelengths in the second-order spectrum?
In each of the following situations, a wave passes through an opening in an absorbing wall. Rank the situations in order from the one in which the wave is best described by the ray approximation to the one ill which the wave coming through the opening spreads out most nearly equally in all directions in the hemisphere beyond the wall, (a) The sound of a low whistle at 1 kHz passes through a doorway 1 m wide, (b) Red light passes through the pupil of your eye. (c) Blue light passes through the pupil of your eye. (d) The wave broadcast by an AM radio station passes through a doorway 1 m wide, (e) An x-ray passes through the space between bones in your elbow Joint.
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?
26. Ripple tanks were used to perform a series of experiments on diffraction. The following diagrams represent the observations made. Consider the following possible conclusions: 1) As wavelength increases, the amount of diffraction increases. 11) As slit width increases, the amount of diffraction decreases. III) As wavelength increases, the amount of diffraction decreases. Based on these observations alone, the correct conclusions would be (a) I only (b) II only (c) III only (d) I and II only (e) II and III only
On a certain crystal, a first-order X-ray diffraction maximum is observed at an angle of 27.1° relative to its surface, using an X-ray source of unknown wavelength. Additionally, when illuminated with a different known wavelength of 0.137 nm, a second-order maximum is detected at 37.3°. Determine a. the spacing between the reflecting planes. b. the unknown wavelength.
1. Each picture depicts the fringe pattern from two separate light experiments. Under each fringe pattern, draw an accurate corresponding diagram that shows the intensity pattern for each experiment. Also make sure to state what experimental set up created the fringe pattern. Type of experiment: Type of experiment:
1. A circular table of radius 1 m is illuminated by a mono-chromatic LED light source placed at a distance y = 2 m above the table. The wavelength and radiant power of the LED are 632 nm and 100 mW respectively. Calculate the illumination in lux of LED at the center and at the edge of the table. (Assume that the LED behaves like a point light source). LED 1 m E, (center) E, (edge) =
1. Light from a red laser passes through a single slit to form a diffraction pattern. If the width of the slit is increased by a factor of two, what happens to the width of the central maximum? Note: Assume that the angle 0 is sufficiently small so that (sin 0) is nearly equal to 0. a. The width of the central maximum increases by a factor of 4. b. The width of the central maximum decreases by a factor of 2. c. The width of the central maximum decreases by a factor of 4. d. The width of the central maximum increases by a factor of 2. e. The width of the central maximum does not change.
6. The edge of a unit cell in a cubic crystal is a = 2.62 Å. Find the Bragg angle corresponding to reflection from the planes (100), (110), (111), (200) and (211), given the wavelength of the monochromatic x-ray beam is 1.54 Å.
1. Light of wavelength 444 nm is incident on a diffraction grating that has 8560 lines per cm. What is the first order angle? 2. What is the second order angle in question 1? 3. What is the maximum number of orders in question 1? 4. Light of wavelength 712.0 nm produces a first order maximum at an angle of 41.40 degrees. How many lines per cm are on this diffraction grating?

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