(a) A circular diaphragm 60 cm in diameter oscillates at a frequency of 25 kHz as an underwater source of sound used for submarine detection. Far from the source, the sound intensity is distributed as the diffraction pattern of a circular hole whose diameter equals that of the diaphragm.Take the speed of sound in water to be 1450 m/s and find the angle between the normal to the diaphragm and a line from the diaphragm to the first minimum. (b) Is there such a minimum for a source having an (audible) frequency of 1.0 kHz?

(a) A circular diaphragm 60 cm in diameter oscillates at a frequency of 25 kHz as an underwater source of sound used for submarine detection. Far from the source, the sound intensity is distributed as the diffraction pattern of a circular hole whose diameter equals that of the diaphragm.Take the speed of sound in water to be 1450 m/s and find the angle between the normal to the diaphragm and a line from the diaphragm to the first minimum. (b) Is there such a minimum for a source having an (audible) frequency of 1.0 kHz?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter27: Wave Optics

Section: Chapter Questions

Problem 38P

See similar textbooks

Similar questions

Check Your Understanding For the experiment in Example 4.2, at what angle from the center is the third maximum and what is its intensity relative to the central maximum?
(b) Two light pulses are emitted simultaneously from a single source. Both pulses travel to the same detector, but one pulse travels in air the entire distance while the other travels through 2.0m of ice (n = 1.309) along the way. What is the difference in the arrival time of the two pulses?
The Rayleigh scattering coefficient for a silica SMSI-fiber at a wavelength of 0.80 µm is 0.46 /km. The fiber has a refractive index of 1.6 and a numerical aperture of 0.14. When a light pulse of 60 ns duration at a wavelength of 0.80 µm is launched into the fiber, calculate the level in dB of the back scattered light compared with the Fresnel reflection from a clean break in the fiber. It may be assumed that the fiber is surrounded by air.
To reduce the loss of light when reflected from the glass surface, the latter is covered with a thin layer of a substance, the refractive index of which is n '= sqrt (n), where n is the refractive index of the glass. At what minimum thickness d (min) of this layer will the reflectivity of glass in the normal direction be minimal for light with a wavelength λ?
A steady sound with a frequency of f = 750 Hz is produced by a source located far from an open doorway set in a sound- absorbing wall. The sound waves pass through the w = 1.18 m-wide doorway. (Assume the speed of sound is 343 m/s.) (a) If a person walks parallel to the wall beyond the open doorway, how many diffraction minima will she encounter? (b) What are the angular directions (in degrees) of these diffraction minima? (Enter the magnitudes from smallest to largest starting with the first answer blank. Enter NONE in any remaining answer blanks. Do not enter any duplicate numerical values.) smallest 土土 largest
Coherent electromagnetic waves with wavelength l = 500 nm pass through two identical slits. The width of each slit is a, and the distance between the centers of the slits is d = 9.00 mm. (a) What is the smallest possible width a of the slits if the m = 3 maximum in the interference pattern is not present? (b) What is the next larger value of the slit width for which the m = 3 maximum is absent?
Parameters of a Dielectric Waveguide. Light of free-space wavelength X, = 0.87 um is guided by a thin planar film of width d = 2 μm and refractive index n₁ = 1.6 surrounded by a medium of refractive index n₂ = 1.4. (a) Determine the critical angle 0, and its complement c, the numerical aperture NA, and the maximum acceptance angle for light originating in air (n = 1). (b) Determine the number of TE modes. (c) Determine the bounce angle and the group velocity v of the m= 0 TE mode.
ew Policies urrent Attempt in Progress A speaker has a diameter of 0.356 m. (a) Assuming that the speed of sound is 343 m/s, find the diffraction angle 0 for a 2.59-kHz tone. (b) What speaker diameter D should be used to generate a 6.06-kHz tone whose diffraction angle is as wide as that for the 2.59-kHz tone in part (a)? (a) Number Units (b) Number i Units eTextbook and Media Attempts: 0 of 3 used Submit Answer Save for Later
X-ray beams are reflected from a crystal by Bragg reflection. If the density of the crystal structure is measured with an rms error for 3 parts is 104. The angle the incident and reflected rays make with the crystal plan is 6oand is measured with an rms error of 3.4 minutes of arc. Calculate the rms error in the determination of the X-ray wavelength?
Light of wavelength, 1 = 0.6 µm in air is incident on a thin sheet of transparent mylar (ɛ, = 6). (a) What is the wavelength of the light in mylar? (b) What thickness (1) gives minimum reflection? (c) If the mylar thickness is instead such that BI = T/2, what is the reflection coefficient, I ? Answers: (a) 2 = _ m %3| (b) l = _m %3D (c) T =, -
SS-1 Coherent light of wavelength 675 nm passes through a narrow slit of width 0.0143 mm. The diffraction pattern is projected onto a viewing screen 1.08 m away from the slit. The intensity of the light at the center of the diffraction pattern is 175 W/m². (a) Draw a picture of the of situation descried in this problem. (b) Find the width of the central bright spot on the screen, in centimeters (cm). (c) Find the distance between the center of the diffraction pattern and the m = 4 minimum on the screen, in cm. (d) What is the intensity at a point on the screen 13.5 cm from the central maximum?
Find the angle of refraction, b) the critical angle of the plane wave coming from the lossless dielectric medium (r≅1, r≅3.6) to the air medium at an angle of 22 degrees.