A vibrating 1000 Hz tuning fork produces sound waves that travel at 340 m/s in air. Points A and...
Question:
A vibrating 1000 Hz tuning fork produces sound waves that travel at 340 m/s in air. Points A and B are some distance from the tuning fork. Point P is 20 meters from the tuning fork.
1) If the waves are in phase at point A and B, what is the minimum distance separating points A and B in terms of wavelength?
2) If the vibrating tuning fork is accelerated toward point P, what happens to the frequency of the sound observed at P?
Sound wave interference
In 1801 Thomas Young carried out an experiment that showed that light is a wave because it obtained an interference pattern. Today it is known as Young's double slit experiment, and its results can be extrapolated to any type of wave. In this experiment the angular position ({eq}\theta {/eq}) of the interference maxima is determined by the expression:
{eq}d\sin\theta=m\lambda {/eq}
where {eq}d {/eq} is the separation between the wave emitting sources, {eq}m {/eq} is the order of interference and {eq}\lambda {/eq} is the wavelength of the signal used.
Answer and Explanation: 1
Become a Study.com member to unlock this answer! Create your account
View this answer
1)
If the sound waves are arriving in phase at points A and B simultaneously, it means that both are maximum intensity. The minimum separation...
See full answer below.
Ask a question
Our experts can answer your tough homework and study questions.
Ask a question Ask a questionSearch Answers
Learn more about this topic:
from
Chapter 19 / Lesson 5Sound waves exist using different mediums, and when two waves use the same medium, they interact, known as interference. Explore the impact of sound waves from constructive interference, destructive interference, and two-point source interference.
Related to this Question
- A tuning fork vibrating at 509 Hz falls from rest and accelerates at 9.80 m/s^2. How far below the point of release is the tuning fork when waves with a frequency of 480 Hz reach the release point? Take the speed of sound in air to be 340 m/s.
- A tuning fork vibrating at 512 Hz falls from rest and accelerates at 9.80 m/s^2. How far below the point of release is the tuning fork when waves with a frequency of 483 Hz reach the release point? Take the speed of sound in air to be 340 m/s.
- Vibration from a 525 \ Hz tuning fork sets up standing waves in astring clamped at both ends. The wave speed for the string is 470 \ m/s. The standing wave has four loops and an amplitude of 2.0 \ mm. a) What is the length of the string? b) What is the eq
- A tuning fork, vibrating at 512Hz, falls from rest and accelerates at 9.80m/s^2. How far below the point of release is the tuning fork when waves of frequency 485Hz reach the release point?
- A tuning fork produces a sound with a frequency of 255 Hz and a wavelength in air of 1.32 m. a) What value does this give for the speed of sound in air? b) What would be the wavelength of the wave produced by this tuning fork in water in which sound tra
- In the air, the distance traveled by a sound wave is 140 meters during 400 vibrations. If the frequency of the tuning fork is 500 Hz, find the velocity of sound in air.
- A 660 Hz tuning fork sets up a vibration in a string clamped at both ends. The wave speed for a transverse wave on this string is 220 m/s and the string vibrate, in three loops. (a) Find the length of the string. (b) If the maximum amplitude of a particle
- The frequency of a tuning fork is 401 Hz. Find the length of the shortest organ pipe which will give 6 beats/s with the fork. The velocity of sound in air is 336.8 m/s.
- The vibrations from an 830 \ Hz tuning fork set up standing waves in a string clamped at both ends. The wave speed in the string is known to be 340 \ m/s for the tension used. The standing wave is observed to have four antinodes and an amplitude of 2.0 \
- I am traveling at a speed of 5 m/s carrying a vibrating 320 Hz tuning fork. I hear a beat frequency of 5.00 Hz between my tuning fork and a stationary tuning fork of unknown frequency in front of me. What is the frequency of the stationary tuning fork?
- A tuning fork creates sound waves with a frequency of 170 Hz. If the speed of sound is 340 m/s, what is the wave length of the sound wave?
- The end of a tuning fork moves in simple harmonic motion described by the equation d=asin(wt). If a tuning fork for the note E above middle C on an even tempered scale (E4) has a frequency of approximately 329.63 hertz (cycles per second), find w. If the
- Oscillation of a 170 Hz tuning fork sets up standing waves in a string clamped at both ends. The wave speed for the string is 520 m/s. The standing wave has four loops and an amplitude of 4.7 mm. What is the length of the string?
- A certain tuning fork vibrates at a frequency of 196 Hz while each tip of its two prongs has an amplitude of 0.850 mm. (a) What is the period of this motion? (b) Find the wavelength of the sound produced by the vibrating fork, taking the speed of sound in
- The vibrations from an 720 Hertz tuning fork set up standing waves in a string clamped at both ends. The wave speed in the string is known to be 370 meters per second for the tension used.
- How far does the sound wave travel in the air when the tuning fork of frequency 560 Hz makes 30 vibrations? Given the speed of sound in air =336 m/s.
- A tuning fork of 440 Hz is vibrating above a pipe that is held in water. If the smallest distance d that shows resonance is 43 cm, what is the speed of sound in the air?
- The vibrations from a 750 Hz tuning fork set up standing waves in a string clamped at both ends. The wave speed in the string is known to be 370 m/s for the tension used. The standing wave is observed
- A tuning fork creates sound waves with a frequency of 170 Hz. If the speed of sound is 340 m/s, what is the wavelength of the sound wave?
- A tuning fork having frequency 256 Hz has a wavelength of 1.35 m. Find the speed of sound in the air?
- A tuning fork generates sound waves with a frequency of 246 Hz. The waves travel in opposite directions along a hallway, are reflected by walls, and return. The hallway is 50.0 m long and the tuning fork is located 14.0 m from one end. What is the phase d
- A tuning fork generates sound waves with a frequency of 246 Hz. The waves in the opposite direction along a hallway are reflected by the end walls and return. The hallway is 47.0 m long and the tuning fork is located 14.0 m from one end. What is the phase
- A tuning fork is sounded above a resonating tube (one end closed), which resonates at a length of 0.200 m and again at 0.600 m. What is the frequency of the fork when the speed of sound is taken to be 340 m/s? a) 567 Hz b) 425 Hz c) 1700 Hz d) 950 Hz
- Oscillation of a 330 Hz tuning fork sets up standing waves in a string clamped at both ends. The wave speed for the string is 700 m/s. The standing wave has four loops and an amplitude of 3.9 mm. a) What is the length of the string? b) Write an equation f
- The speed of sound in air is around 345 m/s. A tuning fork vibrates at 683 Hz above the open end of the sound resonance tube. What is the wavelength (in cm) of the sound waves in the tube?
- The prong of a tuning fork moves back and forth when it is set into vibration. The distance the prong moves between its extreme positions is 2.28 mm. If the frequency of the tuning fork is 440.7 Hz, what are the maximum velocity and the maximum accelerati
- The prong of a tuning fork moves back and forth when it is set into vibration. The distance the prong moves between its extreme positions is 2.28 mm. If the frequency of the tuning fork is 440.1 Hz, what are the maximum velocity and the maximum accelerati
- A sound wave enters a tube at the source end, as shown in the figure below. At point P, the sound wave splits into two waves that recombine at point Q. The radius of the semicircle is varied until the first minimum is observed at the detector when r = 50.
- A 2000 Hz tuning fork is vibrating, and 0.25 milliseconds have passed. What is the current phase of the vibration?
- A tuning fork produces a sound wave with a wavelength of 0.20\ \mathrm{m} and a velocity of 25.6\ \mathrm{m/s}. What is the frequency of the tuning fork?
- What is the distance travelled by sound in air when a tuning fork of frequency 256 \ Hz, completes 25 vibrations? The speed of sound in air is 343 \ m/s.
- A point on the tip of a tuning fork vibrates in a harmonic motion described by the equation d = 10 sin( omega t) . 1. Find omega for a tuning fork that has a frequency of 535 vibrations per sec
- Assume that the velocity of sound in air is about 1100 feet per second. A tuning fork that vibrates at 250 HZ gives rise to a sound wave having a wavelength of about ________. a) 0.227 ft. b) 4.4 ft c) 250 ft d) 275,000 ft.
- The speed of sound in air is 345 m/s. A tuning fork vibrates above the open end of a sound resonance tube. If sound waves have wavelengths 65-cm in the tube, what is the frequency (in Hertz) of the tu
- The prong of a tuning fork moves back and forth when it is set into vibration. The distance the prong moves between its extreme positions is 2.24 mm. If the frequency of the tuning fork is 440.7 Hz, w
- A student drops a 512 Hz tuning fork from rest-off of a tall building. How far below the point of release is the tuning fork when the student observes waves of frequency 440 Hz? Assume the speed of so
- A tuning fork produces a sound with a frequency of 277 Hz and a wavelength in air of 1.21 m. What value does this give for the speed of sound in air? Answer in units of m/s.
- Find the number of vibrations made by a tuning fork of frequency 480 during the time the sound travels a distance of 220 m. The velocity of sound = 330 m/s.
- The speed of sound in a classroom is 343 m/s. A) A tuning fork of frequency 512 Hz is struck. What length of the open-air tube is required to create a resonant sound at the 1st harmonic? B) For the same tube, what tuning fork frequency is needed to genera
- A distant 546 Hz tuning fork produces a plane sound wave that moves along the positive x-axis and has an amplitude of 1.05 \times 10^{-8} \; m. Write an expression for the displacement as a function of x and t.
- You are trying to tune a piano using a tuning fork. The tuning fork emits a frequency of 430 Hz. When the piano string and the tuning fork are vibrating, you hear beats. You measure and find that in 30 seconds you hear 64 beats. What is the beat frequency
- A tuning fork is held a certain distance from your ears and struck. Your eardrums' vibrations after t seconds are given by p = 3 sin 2t. When a second tuning fork is struck, the formula p = 2 sin(2t +
- A tuning fork of frequency 500 Hz is rotating on the edge of a disk of radius 1.2 meters. a) If the disk turns at a rate of 40 rev/min, what are the maximum and minimum frequencies heard by the liste
- Two identical tuning forks can oscillate at 523.3 Hz. A person is located somewhere on the line between them. The speed of sound in air is 343 m/s. (a) Calculate the beat frequency as the listener is standing still and the tuning forks both move to the ri
- A tuning fork vibrates 384.0 times a second, producing sound waves with a wavelength of 72.9 cm. What is the velocity of these waves?
- A tuning fork with a frequency of 440 Hz is held above a resonance tube that is partially filled with water. Assuming that the speed of sound in air is 342 m/s, for what three smallest heights of the air column will resonance occur? Where will the nodes
- A tuning fork has a frequency of 256 Hz. Compute the wavelength of the sound emitted at \\ A.\ 0^\circ C\\ B.\ 30^\circ C
- A student holds a tuning fork oscillating at 256 Hz. He walks toward a wall at a constant speed of 1.44 m/s. (a) What beat frequency does he observe between the tuning fork and its echo? Hz (b) How fa
- If the speed of sound is 1100 feet per second and a tuning fork oscillates at 440 cycles per second, what is the wavelength of the sound produced?
- A student holds a tuning fork oscillating at 256 Hz. He walks toward a wall at a constant speed of 1.33 m / s. (a) What beat frequency does he observe between the tuning fork and its echo? (b) How fast must he walk away from the wall to observe a beat
- A 2.5m long string vibrates as a 100 Hz standing wave with nodes at 1m and 1.5m from one end of the string and no points in between the two.Which harmonic is this?work out
- A tuning fork with a vibration rate 128 Hz is held over a resonance tube. What are the two shortest distances at which resonance will occur at 20 ^oC?
- A tuning fork makes a frequency of 440 Hz, if it is held in front of an open closed pipe. Assume room temperature is 20 degrees. a) What distances would allow standing waves to be produced if the pipe is able to expand? b) If a different tuning fork is u
- A student holds a tuning fork oscillating at 210 Hz. He walks towards a wall with a constant speed of 1.30 m/s. (a) What beat frequency does he observe between the tuning fork and its echo? (Assume so
- A tuning fork of unknown frequency makes three beats per second with a fork 379 Hz. The beat frequency decreases when a small piece of wax is put on a prong of the first fork? What is the frequency of this fork?
- A vibrating tuning fork is held over a resonance tube, and resonance occurs when the surface of the water in the tube is 10 cm below the fork. If the temperature of the air is 200 ^\circ C, calculate the frequency of the tuning fork.
- A tuning fork of frequency 256 Hz produces 4 beats per second with a wire of length 25 cm vibrating in its fundamental mode. The beat frequency decreases when the length is slightly shortened. What could be the minimum length by which the wire be shorten
- If a tuning fork puts out a tone at 440 Hz, what is its wavelength in air at 25 degrees?
- When two tuning forks are stuck simultaneously, 3 beats per second are heard. The frequency of one fork is 510 Hz. A piece of wax is placed on the 510 Hz fork to lower its frequency slightly. If the b
- A student holds a tuning fork oscillating at 259 Hz. He walks toward a wall at a constant speed of 1.31 m/s. (a) What beat frequency does he observe between the tuning fork and its echo? (b) How fast must he walk away from the wall to observe a beat frequ
- A tuning fork has a period of 4 s. What is the frequency? If the tuning fork above is struck in the air, what is the wavelength? If the tuning fork above is struck in water, what is the wavelength?
- A U-tube having unequal arm-lengths has water in it. A tuning fork of frequency 440 Hz can set up the air in the shorter arm in its fundamental mode of vibration and the same tuning fork can set up the air in the longer arm in its first, overtone vibratio
- You have a tuning fork of unknown frequency. When you ring it alongside a tuning fork with known frequency of 360 Hz, you hear beats at a frequency of 10 Hz. When you ring it alongside a tuning fork w
- A U-tube having unequal arm-lengths has water in it. A tuning fork of frequency 440 Hz can set up the air in the shorter arm in its fundamental mode of vibration and the same tuning fork can set up the air in the long arm in its first overtone vibration.
- Two identical tuning forks vibrating at the same frequency 256 Hz are kept fixed at some distance apart. A listener runs between the forks at a speed of 3.0 m/s so that he approaches one tuning fork and recedes from the other. Find the beat frequency obse
- A student using a tuning fork of frequency 512 Hz observes that the speed of sound is 340 m/s. What is the wavelength of this sound wave?
- Two tuning forks have frequencies 450 \ Hz and 454 \ Hz respectively. On sounding these forks together, determine the time interval between successive maximum intensities.
- A student holds a tuning fork oscillating at 340 Hz. He walks toward a wall at a constant speed of 1.29 m\, s'. (a) What beat frequency does he observe between the tuning fork and its echo? (b) How
- When a tuning fork of unknown frequency is sounded simultaneously with a 512 Hz tuning fork, 20 beats are heard in 4.0 seconds. What are the possible frequencies of the unknown tuning fork?
- Determine the shortest length of a pipe closed at one end that will resonate in the air at 25 degrees C with a tuning fork of frequency 189 Hz.
- A tuning fork oscillates at a frequency of 582 Hz. Find the period of the motion.
- A tuning fork oscillates at a frequency of 561 Hz. Find the period of the motion.
- A tuning fork oscillates at a frequency of 701 Hz. Find the period of the motion.
- You set a tuning fork into vibration at a frequency of 783 Hz and then drop it off the roof of the Physics building where the acceleration due to gravity is 9.80 m/s^2. Determine how far the tuning fork has fallen when waves of frequency 755 Hz reach the
- When the wire of a sonometer is 73cm long, it is in resonance with a tuning fork. On shortening the wire by 0.5cm, it makes 3 beats with the same fork. Calculate the frequency of the tuning fork.
- A one-dimension plane progressive wave of amplitude 1 cm is generated at one end (x = 0) of a long string by a tuning fork. At some instant x = 10 cm and at x = 20 cm are -0.5 cm and 0.5 cm, respectively. The speed of the wave is 50 m/s. Calculate the fre
- A tuning fork is sounded above a resonating tube (one end closed), which resonates at a length of 0.20 m and again at 0.60 m. If the tube length was extended further, at what point will the tuning fork again create a resonance condition?
- A progressive and a stationary simple harmonic wave each have the same frequency of 250Hz and the same velocity of 30m/s. Calculate (i) the phase difference between two vibrating points on the progres
- A tuning fork A of frequency 260 c/s produces 4 beats per second with tuning fork B. When the tuning fork A is loaded with wax, then the number of beats produced per second becomes 3. Then what is the frequency of tuning fork B? (a) 264. (b) 263. (c) 2
- A wire with mass 75.0 g is stretched so that its ends are tied down at points 88.0 cm apart. The wire vibrates in its fundamental mode with frequency 80.0 Hz and with an amplitude of 0.300 cm at the antinodes. 1. What is the speed of propagation of transv
- A 430.0 Hz tuning fork is sounded together with an out-of-tune guitar string, and a beat frequency of 6 Hz is heard. When the string is tightened, the frequency at which it vibrates increases, and the
- A tuning fork with a frequency of 440 Hz is held above a resonance tube partially filled with water. Assuming that the speed of sound in air is 342 m/s, for what three smallest heights of the air column will resonance occur? {hint: for resonance to occur
- When a tuning fork is held over the open end of a very thin tube, the smallest value of L that produces resonance is found to be 25.0 cm. (Hint: open-closed air pipe). Calculate the speed of the sound if the timing frequency of the fork is 356 Hz.
- You have tuning forks for frequencies of 294 Hz and 300 Hz. (A) What beat frequency is heard when you play both forks at the same time? (B) If you have an (untuned) string which makes for a beat fre
- With a tuning fork of 384 Hz, resonance tube lengths are achieved at 0.647 m and 1.09 m. What is the speed of sound?
- The pattern of displacement nodes N and antinodes A in a pipe is ANANANANANA when the standing-wave frequency is 1370 Hz. The pipe contains air at 20 degrees Celsius. The speed of sound in air is 344 m/s. Which harmonic is this? A) This is the second harm
- You have 25 tuning forks that oscillate at close but different frequencies. What are the (a) maximum and (b) minimum number of different beat frequencies you can produce by sounding the forks 2 at a t
- Two tuning forks have frequencies of 278 Hz and 294 Hz. What is the beat frequency if both tuning forks are sounded simultaneously?
- A 440 Hz tuning fork is held above a closed pipe. Find the spacing between the resonances when the air temperature is 20^oC.
- Standing waves are produced in a 10 m long stretched string. If the string vibrates in 5 segments and the wave velocity is 20 ms^{-1} then the frequency is (a) 2 Hz (b) 4 Hz (c) 5 Hz (d) 10 Hz
- A string with both ends held fixed is vibrating in its third harmonic. The waves have a speed of 195 m/s and a frequency of 250 Hz. The amplitude of the standing wave at an antinode is 0.420 cm. Calculate the amplitude at a point on the string at a distan
- A large tuning fork is mounted on the back of a truck that is moving away from the observer with a speed of 23 m/s. The observer hears a frequency of 1125 Hz. What is the actual vibration frequency of the fork? Speed of sound, v = 341 m/s.
- A string of length 0.242 m is fixed at both ends. The string is plucked and a standing wave is set up that is vibrating at its second harmonic. The traveling waves that make up the standing wave have a speed of 139 m/s. What is the frequency of vibration?
- A tuning fork is set into vibration with a frequency of 512 Hz. How many oscillations does it undergo in 1 minute?
- A 520 Hz tuning fork produces a standing wave in a column of air in a closed tube. If the speed of sound is 340 m/s, what is the length of the air column?
- A vibrating 400.0 Hz tuning fork is placed in freshwater. What is the frequency in hertz and the wavelength in meters (A) within the water at 25 degrees C (B) when the sound waves move into the air at 25 degrees C?
- The tip of a tuning fork foes through 540 complete vibrations in 0.500 s. Find the angular frequency and the period of the motion.
- The tip of a tuning fork goes through 340 complete vibrations in 0.550 s. Find the angular frequency and the period of the motion.
- The tip of a tuning fork goes through 420 complete vibrations in 0.550 s. Find the angular frequency and the period of the motion.