Wave Questions and Answers
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Now measure the following using the given rulers in the figure below. (Do not forget units) a) The amplitude of the wave is _____. b) The wavelength of the wave is _____.
Consider the following general expression for a waveform that travels a distance lambda in time t. y(x,t) = Asin(n(omega)t + phi. What is the relationship between omega and linear frequency?
Consider the following general expression for a waveform that travels a distance lambda in time t. y(x,t) = Asin(n(omega)t + phi. What is omega?
What is the amplitude, frequency, and phase constant of the oscillation shown in the following figure?
A wave is described by the following graph. What an equation for the wave in the form x(t) = Acos(2.pi.f.t + phi)?
A transverse disturbance is traveling along a string toward decreasing x. The graph shows the displacement as a function of horizontal position at time t = 0. The string tension is 3.6 N and its li...
A wave along a string has the following equation, where x is in metres and t is in seconds: y = 0.04 \sin(33 t - 3.2 x) \text{ mm}. Find (a) The amplitude of the wave. (b) The frequency of the wav...
A propagating wave is represented by the wave function y(x,t) = 0.2 sin (6 pi x + 20 pi t + phi) where x and y are in meters and t is in seconds. If at t = 0, the vertical position of the element a...
Why is a lake with a high value for DL likely to have smaller waves than a lake of comparable surface area with a DL close to 1?
The wave function of a mechanical wave on a string is described by: y(x,t) = 0.015 cos(2piX - 50pit + pi/3), where x and y are in meters and t is in seconds. The transverse acceleration of an eleme...
A propagating wave is represented by the wave function y(x,t) = 0.2 sin(6 pi X + 20 pi t + phi) where y and x are in meters and t is in seconds. If at t = 0, the vertical position of the element at...
A propagating wave is represented by the wave function y(x, t) = 0.2 sin( 6pi x + 20pi t + phi) where x and y are in meters and t is in seconds. If at t = 0, the vertical position of the element at...
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.
Due to the waves produced on the string, the string is moving up and down in a periodic way. The wave moves from the highest point to the lowest in 2 s and travels a total distance of 8 m. The succ...
Carbon dioxide has the following fundamental vibrational frequencies: gama_1=667 cm^{-1}, gamma_2=1338 cm^{-1}, gamma_3=2349 cm^{-1} The following combination bands appear in the spectrum: 618, 233...
The force constant for a ^1 H^{127} I molecule is 314 N/m. (a) Calculate the zero point vibrational energy for this molecule for a harmonic potential. (b) Find the light frequency needed to excite...
Calculate the given heat capacity CV for H2S at 298 K and 1 bar pressure if its vibrational frequencies are 1183, 2615, and 2617 cm-1. Compare to a value of 25.7 J/mol K.
The displacement of a particle of a string carrying a traveling wave is given by y = 3 cm sin 6.38(0.50x - 50t), where x is in cm and t in sec. Find (a) the amplitude, (b) the wavelength, (c) the f...
Comment on the Phase velocity (p) of the waves for increased values of delta w and delta k.
Calculate V for Psi(1s) of the H atom and compare it to the total energy.
In atrial flutter, the normal P wave is absent and replaced by __________ .
Considering that the waves are generated in a mechanical medium, what are the different kinds of waves which can be produced?
Compare the standing waves and the traveling waves qualitatively.
A transverse wave on a string can be modeled as a row of masses hanging from springs oscillating up and down: the masses on the springs are individually oscillating, but all of their oscillations a...
Differentiate between standing waves and progressive waves with examples. Draw appropriate figures to illustrate these.
Explain different types of waves with examples. When several waves combine at a point, the displacement of the particle at any time is given by? Explain.
The equation for the displacement of a stretched string is given by y = 4sin(t/0.02 - x/100) where y and x are in cm and t is in seconds. Determine the (a) direction in which the wave is propagatin...
How do you compare the frequencies of the 4 lowest vibration modes in a square plate with clamped on two of its opposed sides and free on the other two?
How do you compare the frequencies of the 4 lowest vibration modes in a square plate with clamped edges?
Use the expressions in Rh(3) to determine the characters of the f orbitals in an octahedral (Oh) environment. For the set of seven f orbitals, the character of the identity symmetry operation is 7.
How do you compare the frequencies of the 4 lowest vibration modes in a square plate with free edges?
Evaluate the probability that an electron will exist at the center of the box, approximated as 0.495a to 0.505a, for the first, second, third, and fourth levels of a particle-in-a-box. What propert...
Discuss the condition required to produce wave packet. Explain with a schematic diagram.
The displacement of a particle of a string carrying a traveling wave is given by y = 3 sin6.28(0.50 x - 50 t), where x is in cm and t in sec. Find the amplitude of the wave.
If two waves differ only in amplitude and are propagated in opposite directions through a medium, will they produce standing waves?
How does the phase velocity related to the group velocity?
Explain why a function would qualify as a wave function. a. A wave function includes trigonometric functions b. A wave function is nonzero for all values of x. c. A wave function includes Euler's n...
Elaborate phase velocity and group velocity.
Write down the expression for the fundamental mode of vibration and explain the laws of the vibrating string.
What is a pressure wave?
What is the wave?
For a hydrogen atom in its ground state, calculate the relative probability of finding the electron in a sphere of volume 1.0x10^-3 pm3 centered on a point 1.0x10^-11 m from the nucleus.
A string is vibrating between two posts. Students are to determine the speed of the wave within this string. They have already measured the amount of time necessary for the wave to oscillate up and...
Calculate the frequency f of the electromagnetic wave that has the wavelength lambda = 250 nm.
State whether the given function is an acceptable wave-function over the range given. If they are not, explain why not. The function looks like this.
What are the values of E, L, and Lz for a F8+ atom whose electron has the given wavefunction listed as Psi(n,l,ml) ? Psi(1,0,0)
In a plot of (Psi)2, the maximum (maxima) in the plot is/are called the most probable position(s). What is/are the most probable position(s) for a particle-in-a-box when n=1?
Normalize the mentioned wave function over the range indicated. Psi=sin2x, x=0 to pie
Return the frequency to 1.50 Hz and the amplitude to 0.75 cm. Now focus your eyes on one bead of the string. (Slow motion may help.) Describe the motion of the bead.
Differentiate between longitudinal and transverse waves with proper figures. Give an example of a wave which can travel in free space and have the properties of transverse wave.
Use a graphing utility to graph the function. (Include two full periods.) Identify the amplitude and period of the graph. y = -10 \cos \frac{\pi x}{6}
Determine the number of total degrees of freedom and the number of vibrational degrees of freedom for the indicated species. A nonlinear molecule having 20 atoms
Represent longitudinal and transverse waves in a graphical form
Rank the following waves from least (Rank 1) to greatest (Rank 4) frequencies.
What is the vibrational wavenumber for carbon dioxide? Explain how you got this answer.
A steel wire with mass 24.9 g and length 1.30 m is strung on a bass so that the distance from the nut to the bridge is 1.10 m. (a) Compute the linear density of the string. (b) What velocity wave o...
The suspension of a car has a natural frequency f_{0} = 0.45Hz. The (worn out) shock absorbers provide only low damping. The car drives on a concrete road with a "ridge" every 40m that makes the ca...
The wave function of a mechanical wave on a string is described by: y(x, t) = 0.015 cos(2 pi x - 50 pi t + pi /3), where x and y are in meters and t is in seconds. The transverse acceleration of an...
The wave function of a mechanical wave on a string is described by y(x, t) = 0.015 cos(2pi * x - 50pi * t + pi/3), where x and y are in meters, and t is in seconds. The transverse acceleration of a...
How do waves affect marine life?
What is ether vibration mineralogy?
A weight suspended from a spring is seen to bob up and down over a distance of 3 cm 5 times each second. Calculate the amplitude.
The wave function of a mechanical wave on a string is described by: y x, t = 0.015 cos 2 pi x- 50 pi t + fraction pi 3, where x and y are in meters and t is in seconds. The transverse acceleration...
In the context of Physics, explain the following term: Transversal.
A wave has a dispersion relation of omega (k) = square root k^2 + 1. Sketch a plot of (i) the dispersion relation, omega (k) vs. k; (ii) the phase velocity vs. k; and (iii) the group velocity vs. k...
The questions below refer to a sound wave of frequency 500 Hz in air at 20^\circ C. The density of air is 1.20 kg/m^3. \\ a) Calculate the speed of the sound wave. b) Calculate the wave wavelengt...
In 60th of XIX century on highways of large cities, the noise level reached 60 dB, now the noise level on the same highways is equal approximately to 110 dB. How many times has the intensity of noi...
Which of the following choices most accurately describes the behavior of the waves when they encounter the second medium? a) Some of the waves were reflected while some were refracted. The refrac...
The intensity of a certain spherical wave is 8.0 W/m2 at a distance of 1.0 m from the source. If the medium is isotropic and non-absorbing, the intensity 100 m from the source is ______.
Waves on a swimming pool propagate at 0.750 m/s. You splash the water at one end of the pool and observe the wave go to the opposite end, reflect, and return in 30.0 s. How far away is the other en...
Two masses 1 kg and 2 kg are connected by a spring constant of k = 5 N/m. The floor is horizontal and frictionless, but the spring has internal friction, proportional to the velocity of its own spr...
How do sound vibrations of atoms differ from thermal motion?
Why do surface waves break along the shore?
What breaks surface waves?
How many types of surface waves are there?
How do continents contribute to the formation of surface waves?
Do surface waves have a crest?
Are surface waves caused by wind?
Why are Q waves prominent in MI?
Where are Q waves normal?
What causes inferior Q waves?
What causes abnormal Q waves?
What are cardiology Q waves?
How fast are Q waves formed?
Are all Q waves pathologic?
Why are mechanical waves called elastic waves?
Where does the energy in mechanical waves come from?
Where do mechanical waves transfer energy?
Where do mechanical waves come from?
What is common in all mechanical waves?
How are electromagnetic waves and mechanical waves alike?
Do mechanical waves slow down in a vacuum?
Can mechanical waves travel through gas?
Can mechanical waves pass through matter?
Can mechanical waves go a long distance?
Are mechanical waves produced by stars and galaxies?
Are mechanical waves on the EM spectrum?
Are mechanical waves created by a vibrating source?
Are gravitational waves mechanical waves?
Are all mechanical waves transverse?
Are all mechanical waves longitudinal?
Which is faster: an electromagnetic wave or a mechanical wave?
What is a non-mechanical wave?
What happens when a mechanical wave travels through a medium?
What direction does a mechanical wave travel?
What dictates the energy of a mechanical wave?
What are the mediums for water mechanical waves?
What are the mediums for each type of mechanical wave?
What are the four characteristics of a mechanical wave?
Is a water wave a mechanical wave?
How is a light wave different from a mechanical wave?
How does mechanical wave motion start?
How does a mechanical wave transfer energy?
How does a mechanical wave displace a medium?
Does a mechanical wave have momentum?
Does a rope wave count as a mechanical wave?
Does a mechanical wave transmit energy through a vacuum?
Does a mechanical wave require a medium?
Can a mechanical wave move through a vacuum?
Are all waves mechanical waves?
What are the differences between the vibration signatures of parallel and angular misalignment?
What are the three (3) notations used to quantify the amplitude of a vibration wave?
Answer true or false: All waves carry energy from one point to another.
Is a surface wave a whole different type of wave, or is it a transverse wave? Explain.
Two sinusoidal waves of the same period, with amplitudes of 4.5 and 8.0 mm, travel in the same direction along a stretched string; they produce a resultant wave with an amplitude of 9.1 mm. The pha...
A wave has a wavelength of 2.60 m. Calculate the frequency of the wave if it is each of the following types of waves. Take the speed of sound as 343 m/s and the speed of light as 3.00 times 10^8 m/...
The figure below represents the shape of a typical wave. Superimposed on it are a series of squares, each square is 1 m on each side. a. What are the height and wavelength of this wave? b. Calc...
Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes of 6.00 cm, a wavelength of 4.30 m, and a period of 6.00 s, but one has a phase shift of an angl...
Why do Rossby waves meander?
What causes the large-scale Rossby waves?
How do Rossby waves form?
(a) What is the difference between a transverse and longitudinal wave? (b) What are the parts of a wave?
Find the displacement from equilibrium for a simple harmonic oscillator if the total energy is 1 / 2 kinetic energy and 1 / 2 potential energy.
What are dynamical systems used for in mathematics?
Standing waves are traveling waves. True or False.
If the frequency is constant, what happens to the velocity of the wave as the tension is increased?
The effluent from an anaerobic digester is simulated as a mixture of 5 times 10^{-4} M each of NaH_2 PO_4 and Na_2 HPO_4, and 6 times 10^{-4} M each of NH_3, H_2 CO_3, and NaHCO_3. Identify the sp...
Plot X (r) versus T for the aqueous reaction A to products.r=kC_A, Delta H_R =-20 kcal/mole, k 0.05 min^{-1} at 300 K. var epsilon = 30 kcal/mole in an adiabatic CSTR for r =0.5, 1.0, and 2 min. F...
What is the Huygens-Fresnel principle?
One mole of hydroxybutyric acid (HO-(CH_2)_3-COOH) is placed in a reactor that reaches 50 percent conversion. What are the average and PDI for the reaction mixture?
A 20.0 mL sample of 0.0200 M Cu^{2+} buffered at pH is titrated with 0.0200 M EDTA. Calculate the pCu^{2+} at 25.0 mL.
Describe three types of breakers and give the bottom topography needed for them to form.
The following waveform is a graph of amplitude (in Volts) versus time (in milliseconds). What is the wavelength of this waveform?
A 195 g oscillator has a speed of 125.0 cm/s when its displacement is 2.30 cm and 71.0 cm/s when its displacement is 5.30 cm. What is the oscillator's maximum speed?
For the wave described by y=0.15 \; \textrm{sin}(\pi /8 \: x - 4 \pi \: t), (a) Determine the first positive x-coordinate where y is maximized at t = 0 seconds. (b) Sketch y vs. x for t = 0. (c) Sk...
A wave of frequency 500 Hz has a wave velocity of 350 m/s. 1) Find the distance between the two points which has 60 degrees out of phase. 2 ) Find the phase difference between two displacements at...
Assuming that the vibrations of a 35_Cl_2 molecule are equivalent to those of a harmonic oscillator with a force constant kf = 329 N/m, what is the zero point energy of vibration of this molecule?...
How would the following errors affect the final mass of copper in this experiment? (a) Small amounts of water remained in the beaker after washing with acetone and drying your sample for a week....
One of hydrogen's spectral lines is blue with a wavelength of 486 nm. This corresponds to the electron dropping from n = 4 to the n = 2 energy level. Calculate the frequency of this wavelength in Hz.
A wave travels on a chord, and as this wave is transverse and harmonic, it is represented by: y(x,t)=0.24\sin (2x+17t) The chord has the property of \mu = 0.123 kg/m, where \mu is the mass density...
Two waves are traveling in opposite directions on the same string. The displacements caused by the individual waves are given by y_1=(26.0 mm )\sin(8.58\pi t - 1.64\pi x) and y_2 = (37.0 mm)\sin(3....
A steel cable 3.0 cm in diameter is kept under a tension of 10 kN. The density of steel is 7.8 g/cm^3. With what speed would transverse waves propagates along the cable?
Waves propagate at 4.0 m/s along a stretched string. The end of the string is vibrated up and down once every 3.0 s. What is the wavelength of the waves that travel along the string?
What are the important characteristics of wave motion?
What are waves? Explain different types of waves.
What are sound waves? Explain their characteristics.
What are the characteristics of wave motion?
By proper excitation, it is possible to produce both longitudinal and transverse waves in a long metal rod. In a particular case, the rod is 1.50 m long and 0.200 cm in radius and has a mass of 50....
What are mechanical waves?
State differences between light and sound waves.
A horizontal block-spring system with the block on a frictionless surface has total mechanical energy E = 52.9 J and a maximum displacement from equilibrium of 0.207 m. (a) What is the spring cons...
A traveling wave is described by the equation (x,t) = 1.2cm sin2\pi(x/2.7 + t/0.3) where x is in meters and t is in seconds. Find the following quantities: * Amplitude * Wavelength * Period *...
What is the impedance of a wave with a speed of 243 m/s and a density of 3.2 kg/m^3?
Why do ocean waves bend around headlands? a. the waves are moving faster just in front of the headland, causing the waves to bend. b. the waves have shorter wavelength just in front of the headland...
Which of the following statements is not necessarily true regarding mechanical waves? a. They are formed by some source of disturbance. b. They are sinusoidal in nature. c. They carry energy. d. Th...
Consider a transverse wave traveling in a string. The mathematical form of the wave is y(x, t) = a sin(kx - omega * t). (A) Find the velocity of propagation vp of this wave. Express the velocity of...
A radar for tracking aircraft broadcasts a 12 GHz microwave beam from a 2.0-m diameter circular radar antenna. From a wave perspective, the antenna is a circular aperture through which the microwav...
A wave on beaver dam lake passes by two docks that are 40.0 m apart. (A) If there is a crest at each dock and another three crests between the two docks, determine the wavelength. (B) If 10 waves p...
Is diffraction more pronounced through a small opening or through a large opening?
As waves pass by a duck floating on a lake, the duck bobs up and down but remains in essentially one place. Explain why the duck is not carried along by the wave motion.
Two waves are traveling in opposite directions on the same string. The displacements caused by the individual waves are given by y1 = (24.0 mm) sin(6.34pi * t - 1.24pi * x) and y2 = (36.0 mm) sin(3...
Which letter corresponds with the crest of the wave?
The human body creates and responds to a variety of waves. Select all of the true statements. (a) The vocal cords produce sound waves by vibrating air molecules perpendicularly to the direction of...
Explain the idea of a wave group speed. What is the difference between phase and group speed?
Indicate true or false in each of the following statements: (a) A standing wave is the superposition of two waves. (b) The third harmonic is three times the frequency of the fundamental. (c)...
What are sea waves and tides? What causes them?
A wave on a string has a wavelength of 2.0 m and a frequency of 2.0 Hz. The instantaneous power at x = 3.0 m has a maximum value of 6.0 W. What is the average power transmitted along the string?
True or false? A simple pendulum of length 0.50 m has a larger frequency of vibration than a simple pendulum of length 1.0 m.
Answer the following questions: (a) If you have an audible sound wave and an EM wave, which of the following three options is the most likely? i. They have the same wave speed. ii. They have the...
The amplitudes of an elliptically polarized plane wave traveling in a lossless, non-magnetic medium with epsilon_r = 4 are H_yo = 3 (in mA/m) and H_zo = 4 (in mA/m). Determine the average power flo...
A transverse wave on a string is described by the wave function y(x, t) = 0.338 sin(2.15 x + 96.0t) where x and y are in meters and t is in seconds. Consider the element of the string at x = 0. (a...
A pulse is sent traveling along a rope under a tension of 27 N whose mass per unit length abruptly changes, from 10 kg/m to 44 kg/m. The length of the rope is 2.8 m for the first section and 2.7 m...
A transverse wave is traveling on a string. The displacement y of a particle from its equilibrium position is given by y = (0.021 m) sin(25t - 2.0x). Note that the phase angle 25t - 2.0x is in radi...
Where are the largest waves created, at the poles or in the tropics? When are the largest waves created at this location, during the summer or winter? (Hint: When are storms more common?)
A string of length 3 m consists of two sections with equal length. The left half has mass per unit length 0.0002 kgm^-1, while the right has a mass per unit length 0.0006 kg/m. Tension in the strin...
A string of length 3m consists of two sections with equal length. The left half has mass per unit length 0.0002 kg/m, while the right has a mass per unit length 0.0006 kg/m. Tension in the string i...
A string of length 3 m consists of two sections with equal length. The left half has mass per unit length 0.0002 kg/m, while the right has a mass per unit length 0.0006 kg/m. tension in the string...
Prove whether or not the function y(x,t) = 6(4x - 20t)^{2} is a solution to the differential wave equation. If it is, then determine the wave velocity.
A wave traveling in the positive x-direction with a frequency of 35.0 Hz is shown in the figure below. A = 7.3 cm and B = 32 cm. Find the following values for this wave. a. amplitude b. wavelength...
In musical acoustics, a frequency ratio of 2:1 is called an octave. Humans with extremely good hearing can hear sounds ranging from 20 Hz to 20 kHz, which is approximately 10 octaves (since 2^10 =...
Why is the wave nature of matter not important for a baseball?
Two light waves are initially in phase and have the same wavelength, 470 nm. They enter two different media of identical lengths of 2.50 micro-m. If n1 = 1.2 and n2 = 1.5, what is the effective pha...
Identify the following waves as T-Transverse, or L-Longitudinal. (If the first is R and the rest L, enter TLLL). A) The 'WAVE' made by fans at sports events. B) Radio waves (electromagnetic waves)...
How many minutes would it take an instruction to a Martian rover to travel from a NASA site on Earth to Mars? Assume the signal is sent when Earth and Mars are 275 million km apart.
Use the illustration below to calculate the frequency of this sound propagated in air. Also, calculate the frequency if it were propagated in stainless steel. Explain the two values. The speed of...
Consider the broadcasting circuit for an AM radio station which broadcasts at a frequency of 1330 kHz. The free electrons in such a circuit are moving back and forth in simple harmonic motion. A) H...
What is the smallest object that can be recognized by USG? The sound velocity in tissues is approximately 1400 m/s and the frequency of the generated sound is f = 2 GHz.
An oscillator creates periodic waves on two strings made of the same material. The tension is the same in both strings. \\ 1. If the strings have different thicknesses, which of the following para...
A vertical automobile antenna is sensitive to the electric fields polarized horizontally. True or false?
A steel wire is 2.00 m long and is stretched with a tension of 1000 N. The speed of propagation of a transverse wave on the wire is 800 m/s. A. What is the mass per unit length of the wire, \mu? B...
A microwave oven operates at 2.50 GHz. What is the wavelength of the radiation produced by this appliance?
A tuning fork of frequency 440 Hz is held above a closed air column that is gradually increased in length. Determine the length of the air column that will produce the second harmonic when the spee...
A) What is the wavelength (in nm) of light having a frequency of 3.4 times 10^(13) Hz? B) What is the frequency (in Hz) of light having a wavelength of 5.34 times 10^2 nm?
1. What are three types of ir vibrations
Sketch an inactive vibrational mode of : o)CO2
Predict 3d shapes for molecules? and sketch vibrational modes? o)HCOH
Predict 3d shapes for molecules? and sketch vibrational modes? o) H2O
Explain wave period.
The source of all wave motions is a _____.
For vibrational motion, what term denotes the maximum displacement from the equilibrium position?
Calculate the wavelength range for FM radio given its frequency range is 88.0 to 108 MHz.
If waves move at a constant wave speed, does the medium accelerate?
What is the energy and motion of most waves derived from?
Explain the meaning of the following terms: A) Transverse waves B) Longitudinal waves C) Standing waves D) Shock waves
The vertical distance from the crest of a wave to the trough is called?
What is the wavelength of a 14 MHz ultrasonic wave?
Water waves in a lake travel 3.77 m in 2.09 s. The period of oscillation is 1.5 s. What is the speed of the water waves?
State True or False and explain: 1. The wavelength of sound on a string is proportional to the square root of tension. 2. Frequency is proportional to wavelength, wave speed constant. 3. The inte...
What is the frequency of the waves? Find the period of the wave motion.
A sinusoidal wave is traveling on a string w/ a speed of 40 cm/s. The displacement of the particles of the string at x = 10 cm is found to vary with time according to the equation y = (5.0 cm) sin...
How do you draw a history graph from a snapshot graph?
The equation that describes a transverse wave on a string is where y is the displacement of a string particle and x is the position of the particle on the string. The wave is traveling in the +x di...
The frequency of a wave increases. What happens to the distance between successive crests if the speed remains constant? a) it remains the same b) it increases c) it decreases d) it cannot be d...
Waves passes through the surface of water , Pieces of paper on the water surface move up and down and complete 40 oscillations in 4 seconds. The wavelength of the waves is 10cm . Find the time peri...
A vibrating tuning fork will force air within a pipe to begin vibrating back and forth in a direction parallel to the energy transport. What kind of wave is this an example of, longitudinal, surfac...
Indicate true or false in each of the following statements: Wavelength is proportional to wave speed, frequency constant. - The wavelength of sound on a string is proportional to tension. - The...
A transverse traveling sinusoidal wave on a string has a frequency of 100Hz, a wavelength of 4000 cm, and an amplitude of 2.00 mm. A) What is the maximum velocity of any point on the string? B) W...
Indicate true or false in the following statement: The wavelength of sound on a string is proportional to tension.
Sally and Bobby are on the high seas. Each in their own respective boats. Sally has a range finder and is able to determine that Bobby's boat is 12 meters away. She also notes that any time Bobby's...
A piece of wood floating in the sea oscillates vertically due to the waves. From the shore, it is observed that the piece of wood oscillates (a + 3) complete waves in (b + 30) s, the distance betwe...
A garden hose with 440 g of mass per meter of length is lying on the ground. You pull on the hose, producing 12N of tension, and then shake it from side to side to make waves. At what average rate...
A phone cord is 5.00 m long. The cord has a mass of 0.200 kg. A transverse wave pulse is produced by plucking one end of the taut cord. The pulse makes four trips down and back along the cord in 0....
A transverse wave travels on a string whose mass density is μ = 0.5 kg/m. The displacement in meters is given as a function of time and position as: D(x,t) = 1.5 sin(-24.0t + 3.0x + (90 degrees)...
Waves are described as a disturbance in a medium. What is the medium for a light wave?
1. A wave on a string is described by D(x, t) = (2.0 cm) sin[2π(x/(8.4m)+t/(0.24s)+1)], where x is in m and t is in s. 1. In what direction is this wave traveling? a. in the positive x-directi...
How does the equation for displacement differ between a traveling wave and simple harmonic motion?
A 25.3-ft rope weighs 1.17 lb. I tie this rope between two trees which are 10.8 ft apart. I pull the rope as tight as I can, resulting in a tension of 73.7 lb. Find the speed (m/s) of the waves tha...
Two springs with spring constants k_1 and k_1 are connected toeach other in series, end to end. The top of the first spring is attached to the ceiling and the second string is connected and hanging...
Damping is negligible for a 0.145 kg object hanging from a light 6.30 N/m spring. A sinusoidal force with an amplitude of 1.70 N drives the system. At what frequency will the force make the object...
Of the following, which is not electromagnetic in nature? (a) microwaves (b) gamma rays (c) sound waves (d) radio waves (e) all of the above (f) none of the above
Discuss examples of transverse and longitudinal waves. How can you locate the sky lightning in distance from your current position? As far as the thunder and lightning example, consider that thunde...
When a wave approaches the shore, its {Blank} moves ahead of its {Blank}.
In a transverse wave on a string, the string oscillates: points on the string are displaced vertically from the equilibrium position. In a (transverse) electromagnetic wave, what is oscillating?
An earthquake in the ocean floor can generate a tsunami wave. Although barely noticeable while traveling in the deep ocean, a tsunami can reach a height of over 60 ft when it breaks at the shore. A...
A phone cord is 4.05 m long. The cord has a mass of 0.200 kg. A transverse wave pulse is produced by plucking one end of the taut cord. The pulse makes four trips down and back along the cord in 0....
The tension in a string is 16 N, and its linear density is 0.77 kg/m. A wave on the string travels toward the -x direction; it has an amplitude of 3.8 cm and a frequency of 13 Hz. Write down a math...
On 11 March 2011, a 9.0 magnitude earthquake occurred in the Pacific Ocean, centred 99 kilometres SE from Kesennuma, Japan. Assuming that the water depth above the earthquake epicentre was 2200 met...
(a) The fundamental frequency of a pipe closed at one end is 512 Hz, and the speed of sound is 344 m/s. How long is the pipe? (b) Two whistles having frequencies of 408 Hz and 414 Hz are sounded si...
The lowest note on a grand piano has a frequency of 25.87 Hz. The entire string is 2.2 m long and has a mass of 385 g. The vibrating section of the string is 2.024 m long. What tension is needed to...
True or false: The fundamental sources of sound waves are vibrating objects, and the fundamental sources of electromagnetic waves are vibrating charges.
A stretched string with fixed ends has a length of 42.4 cm. a) Calculate the wavelength of its fundamental mode of vibration (that is its first harmonic) and its third harmonic. b) How many nodes d...
By what percent must one increase the tension in a guitar string to change the speed of waves on the string from 330 m/s to 359 m/s?
A wave on a string is described by the equation y = 9 sin (9 pi t - 0.1 pi x), where x and y are in cm and t is in s. In what direction does the wave travel?
By what percent must one increase the tension in a guitar string to change the speed of waves on the string from 319 m/s to 345 m/s?
A sting is vibrating at a frequency of 5.00 Hz and the distance between two successive nodes is 0.250 m. What is the speed of the waves on the string?
A wave is traveling in a string at 60 m/s. When the tension is then increased by 20%, what will be the resulting wave speed? A) also 60m/s B) 66 m/s C) 72 m/s D) 55 m/s
The B-string of a guitar is made of steel (density 7800 kg/m^3), is 63.5 cm long, and has a diameter of 0.406 mm. The fundamental frequency is f = 247.0 Hz. a) Find the string tension. b) If the...
A 5.3m wire with a mass of 84g is attached to the mast of a sailboat. If the wire is given a "thunk" at one end, it takes 0.095s for the resulting wave to reach the other end. Calculate the tension...
A string is tied on both ends and under a tension FT. A standing wave is formed on the string. For the statement below, select the correct option: Increases, Decreases or Stay the Same. Explain why...
The Young's modulus of aluminum is 6.90 x 1010 N/m2. If the density of aluminum is 2,700 kg/m3, then what is the velocity of longitudinal waves along a thin aluminum rod?
A stone was cast into a lake creating a wave which reached the shore after t1 = 21 s. The distance between two peaks is equal l = 0.7 m, and the time between two subsequent peaks hitting the shore...
The energy of damped vibrations decreases during one period 1.4 times of its initial value. Calculate the logarithmic decrement.
A string with a mass per length of 2 gm/m is stretched with a force of 120 N between two points that are .400 m apart. The fundamental frequency of the stretched string is in tune with the frequenc...
In a two slit interference pattern, what is the ratio of slit separation to slit width if there are 17 bright fringes within the central diffraction envelop and the diffraction minima coincide with...
You hold the end of a clothesline taut and create a sine wave by oscillating the end of the string with your hand. The frequency of the wave is 2.00 Hz and the amplitude is 0.075 m. The wave speed...
The speed of light is 3.0 times 108 m/s and the speed of sound is 3.4 times 102 m/s. Find the value of the integer N in the following statement: "If you start counting seconds when you see somethin...
A spherical wave with a wavelength of 1.66 m is emitted from the origin. At one instant of time, the phase at r =2.58 m is \pi radians. At that instant, what is the phase of r = 4.22 m?
The energy of damped vibrations decreases during one period 1.4 times of its initial value. Calculate the logarithmic decrement of attenuation .
A sound wave has a frequency of 2003 Hz. What is the distance between crests or compressions of the wave? ( Take the speed of sound to be 344 m/s.)$
A light beam passes through the air and strikes the surface of a plastic box. Which pair of statements correctly describe the phase changes for the reflected wave and transmitted wave?
Some clocks that are powered by an AC voltage use the AC frequency to keep time. The power company makes this possible by arranging to have precisely the correct number of cycles occur every day, w...
How many cycles of AC voltage are there each month (31 days) in the United States?
A taut rope has a mass of 0.195 kg and a length of 3.65 m. What power must be supplied to the rope so as to generate sinusoidal waves having an amplitude of 0.110 m and a wavelength of 0.480 m and...
When responding to sound, the human eardrum vibrates about its equilibrium position. Suppose an eardrum is vibrating with an amplitude of 7.1 \times 10^{-7} \ \rm{m} and a maximum speed of 3.8 \ti...
The wave function of an electron is given below. \\ \psi_r(x) = \sqrt{\dfrac{2}{L}} \sin \left(\dfrac{2\pi x}{L}\right)\\ Calculate the probability of finding the electron between x = 0 and x = L/...
A sinusoidal wave of frequency 425 Hz has a speed of 250 m/s. \\ (a) How far apart are two points that differ in phase by \pi/3 rad? \\ (b) What is the phase difference between two displacements...
A sinusoidal wave is traveling on a string with speed 20 cm/s. The displacement of the particles of the string at x = 30 cm is found to vary with time according to the equation y = (5.0cm) sin(12.0...
Two masses m1 and m2 slide on a horizontal frictionless surface, connected by a spring with force constant k. Show that the frequency of oscillation for the system is \omega = \sqrt{\frac{(m1 + m2)...
An object of mass 4.3 kg hangs from a cord around a light pulley. A vibrator is attached to the other end of the cord. The length of the cord is 3.1 m. When the vibrator is set to frequency of 168...
A. Define a wave in terms of energy transfer. B. State the two types of waves and given an example of each. C. State the relation which connects speed and frequency as applied to waves and define...
a. Define a wave in terms of energy transfer. b. State the two types of waves and give an example of each. c. State the relation which connects speed and frequency as applied to waves and define ea...
a) What is the amplitude of this wave? b) What is the frequency of this wave? c) What is the wavelength of this wave?
Position of an Oscillating Mass as a Function of Time (Time (in seconds) vs. Position (in meters)) 1. What will be the velocity of the mass at t = 18.6 s?
A wave has a frequency of 3.06 x 104 Hz. What is the wavelength of the wave?
Find the amplitude of a long time motion of a particle subjected periodic forcing such that the forcing frequency \omega is very close to the natural frequency \omega_{0}, i.e. \omega - \omega_{0...
During sporting events within large, densely packed stadiums, spectators will send a wave (or pulse) around the stadium. As the wave reaches a group of spectators, they stand with a cheer and then...
A transverse wave is propagated in a string stretched along the x-axis. The equation of the wave, in SI units, is given by: y = 0.008 cos(pi)(29t-17x). The wave speed, including the sense of direct...
What phase difference between two otherwise identical traveling waves, moving in the same direction along a stretched string, will result in the combined wave having an amplitude 1.55 times that of...
The figure shows a snapshot of a wave at t = 0 s of a 5.0 Hz wave traveling to the left. (a) What is the wave speed? (b) What is the phase constant of the wave? (Use a sine function.) (c) What is t...
A horizontal string passes over a pulley, and a mass hangs vertically from the string as shown in the figure below. A) If the mass is at rest and the mass of the pulley can be neglected, find the...
A violin string is tuned to 440 Hz. When playing the instrument, the violinist puts a finger down on the string one-eighth of the string length from the neck end. What is the frequency of the strin...
Given that the stiffness of the interatomic "spring" (chemical bond) between atoms in a block of lead is 5 N/m; each atom is connected to two springs, each half the length of the interatomic bond,...
How many nodes and antinodes are in the following standing wave diagram? Explain how to determine nodes and antinodes.
A string has a linear density of 4.40 \times 10^{-3} kg/m and is under a tension of 25 N. The string is 1.8 m long and is fixed at both ends and is vibrating in the standing wave pattern. Determine...
How does the flux of light from the electromagnetic and sound source depend on the distance r from the source? A) r^2 B) r^{-2} C) r^3 D) r^{-1} E) r^{1/2} F) none of the above
The linear density of a string is 1.2 times 10-4 kg/m. A transverse wave on the string is described by the equation y = (0.030 m) sin( (1.3 m-1)x + (28 s-1) t ) (a) What is the wave speed in the st...
In some adventure movies, you can hear gunfire and explosions as space wars are fought. When this
What is pulsed laser deposition? What are its applications?
Two loudspeakers are placed at either end of a gymnasium, both pointing toward the center of the gym and equidistant from it. The speakers emit 226 Hz sound that is in phase. An observer at the cen...
What phase difference between two otherwise identical traveling waves, moving in the same direction along a stretched string, will result in the combined wave having an amplitude 0.52 times that of...
Consider the function z= f(x, t) = 3 \sin (\pi x- 2 \pi t). Imagine that you are sitting on the x-axis, say at x = 2, watching the wave pass. Set x = 2 in z = f(x, t) and graph z = f(2, t) on the i...
Explain why the slope of the characteristics is the speed of the wave.
Which of the following abiotic factors affects the ocean by creating disturbances that move energy through the water? a. Nutrients b. Oxygen c. Salinity d. Waves.
Police often monitor traffic with "K-band" radar guns, which operate in the microwave region at 22.235 GHz (1 GHz = 10^9 Hz). Find the wavelength (in nm and A) of this radiation. Give your answers...
Energy is transmitted at rate P_1 by a wave of frequency f_1 on a string under tension t_1. (a) What is the ratio of the new energy transmission rate P_2 to P_1 if the tension is increased to 2.5t...
True or False: For a transverse wave: The pulse's displacement is always to the north.
List and define the characteristics of a wave.
How are the wavelength and frequency of a wave related? a. As frequency increases, wavelength increases. b. As frequency increases, wavelength decreases. c. Wavelength remains constant as frequency...
What is the wavelength emitted from an LED light bulb that has a frequency of 60 Hz?
If you decrease the distance between successive crests of a wave, this changes ____. A) the wavelength of a wave B) the frequency of a wave C) both the wavelength and the frequency of a wave D) bot...
Which of the following occurs during light wave activity? A) Backwash dominates the transport system B) beach is saturated with water from previous waves C) Much of the swash soaks into the beach...
Where does sand accumulate during heavy wave activity? A) Beneath the breakers B) Offshore sand bars C) In the berm D) Behind the dunes E) Along the beach face
What is a wiggle in time called? What do you call a wiggle in space and time?
What is a wiggle in time?
What are waves? Do waves transfer energy as particles in medium transfer energy to one another?
Tsunamis and wind waves differ, in part, in that the time between two tsunami waves can be many minutes or hours, while wind waves are usually only several seconds apart. A) True B) False
_____ waves also known as interface waves. A) Longitudinal B) Orbital C) Reflective D) Refractive E) Transverse
The Pelamis is an excellent device for harvesting wave energy. It is constructed in four hinged sections and has a total length of 120 m. Discuss the relevance of this geometry and size.
A wave has an angular frequency of 110 rad/s and a wavelength of 1.80 m. Calculate (a) the angular wavenumber and (b) the speed of the wave.
A light 3 m long string with a mass per unit length of 8.00 gm/m has its ends tied to two walls separated by a distance equal to 3/4^{th} length of the string. An object of mass M is suspended from...
A wave travels along a string in the positive x-direction at 30.0 m/s. The frequency of the wave is 50.0 Hz. At x = 0 and t = 0, the wave velocity is 2.50 m/s and the vertical displacement is y = 4...
A sinusoidal wave of wavelength 2.00 m and amplitude 0.100 m travels on a string with a speed of 1.00 m/s to the right. Initially, the left end of the string is at the origin. (a) Write the wave fu...
A sinusoidal sound wave moves through a medium and is described by the displacement wave function s(x, t) = 2.07 cos(15.8x - 872t) where s is in micrometers, x is in meters, and t is in seconds. (a...
Which type of signals are continuous waveforms used to present?
Write the characteristics of waves.
Does an electron behave like a particle or a wave? Explain.
What type of wave interaction occurs when a wave bounces off a surface?
What kind of waves, by definition, must have a physical medium through which to travel?
What is the space between waves called in science?
What is the product of the wavelength and frequency of a wave?
What is the equation that relates wavelength and frequency?
What is the distance between two adjacent high-pressure regions in a sound wave called?
What are the properties of waves in science?
1) For the medium to remain undisturbed as two pulses pass the same point, they must have A)equal amplitudes. B)opposite amplitudes. C)different amplitudes. D)both A and B.
Why is the vibrations in a guitar string a wave?
Which feature of a longitudinal wave corresponds to a trouph in a transverse wave?
What distinguishes electromagnetic waves from other types of waves, such as sound waves and water waves?
When a wave hits a boundary, what determines how much is reflected and refracted?
What is the difference between resonance and absorption?
What happens when a wave is refracted?
What are two types of waves that transfer energy from one place to another?
The amount of energy tranferred by a wave is indicated by the wave's what?
In a transverse wave, the motion of the disturbance is in what direction relative to the wave motion?
In a periodic wave traveling down a stretched string, the vertical distance between a crest and a trough is 1.0. What is the amplitude of the wave?
If the medium a wave is traveling through is constant, what about the wave can change?
How does energy travel in a mechanical wave?
What is the difference between electromagnetic waves and mechanical waves?
If a wavelength of a wave is doubled and velocity remains the same, is the frequency halved?
Why does tension affect wave speed?
Why do waves with lower amplitudes carry more energy?
What determines the speed of a wave: the frequency, the wavelength, or the medium through which the wave travels?
How do power interference waves work?
How does a wave change when the end is fixed versus loose?
Does frequency affect wave speed?
Does a wavelength have to be from crest to crest?
In the problem given below, find the equation of motion in terms of . Also, determine the natural frequency of the system
Provide examples of transverse and longitudinal waves.
What two ways can waves interact?
Why do ocean waves break as they approach the shore? Is it because of the principle of superposition? Would it be described as constructive or destructive interference?
Shaking a towel up and down would create what type of wave in the towel? a) transverse b) longitudinal c) surface
What is a real life example of a mechanical wave?
Explain which type of wave transfers more energy - a wave with high amplitude or low amplitude.
Wave amplitude is related to what?
An oscillator makes 1800 vibrations in 3 minutes. How many vibrations does it make in one minute? How many vibrations does it make in one second?
As an ocean wave approaches the coast: a. it speeds up and builds in height b. it slows down and builds in height c. it transforms from translatory motion to oscillatory motion d. it slows down and...
The paddle wheel of a boat measures 16 feet in diameter and is revolving at a rate of 20 rpm. The maximum depth of the paddle wheel under water is 1 foot. Suppose a point is located at the lowest p...
Beats in sound are the result of which of the following wave? a) resonance. b) refraction. c) reflections. d) amplitude changes. e) interference.
1. What is the wave speed for a wave of 5 meters wavelength that has a frequency 128 Hz ? A) 25.6 m/s . B) 64 m/s . C) 128 m/s . D) 640 m/s . 2. A string on a guitar is 0.4 m l...
Does all energy travel in waves?
If velocity of a wave is 0.15 m/s and the frequency is 20 HZ, what is its wavelength?
What are gravity waves in oceanography?
The distance between waves is referred to as: 1. base spaces 2. intervals 3. segments 4. cycles
What are two types of waves?
A student standing in a canyon yells "echo", and her voice produces a sound wave of frequency 0.51 kHz. The echo takes t = 2.8 s to return to the student. Assume the speed of sound through the atmo...
How far does a wave travel in one period?
When a stone is thrown into a pond, it forms 10 waves in 5 seconds. The diameter of the first crest is 13 m and the diameter of the last crest is 4 m. Find the following: a. The periodic time b. Th...
Given a plane harmonic wave of wavelength \lambda, propagating with a speed v in a direction given by the unit vector \frac{\hat{i} + \hat{j}}{2} in Cartesian coordinates. Write an expression for t...
In order to stay in phase, do two waves need to have the same frequency? The same amplitude?
What is the fundamental frequency of vibration?
Which type of wave would be beneficial to a surfer?
A vibrator in a ripple tank vibrates with a frequency of 3.0 \ Hz and an amplitude of 2.5 \ cm. The resulting waves travel away from the source with a speed of 2.5 \ cm/s, passing under various mar...
How long is the sound wave if the frequency is 320, Hz ? (Note: Speed of sound = 340, m/s .)
The speed of a wave on a string is 150, m/s when the tension is 120, N the percentage increase in the tension in order to raise the wave speed by 20 % is ....
What are some careers that relate to the applications of waves and sound? Give examples of such applications in those careers.
Verify that Ex = f(z - ct) + g(z + ct) is a solution of the one dimensional wave equation.
The equation of a wave along the x-axis is given as: xi , cm = 3.4 sin (1.16, x - 0.85, t) in which xi is the displacement. Units on the right hand side are 1/cm for kappa and 1/s for...
Would a larger rock dropped into a large pan of water make a larger wave than a smaller rock? Which would travel faster?
Do transverse waves transfer energy?
Does sound travel in transverse waves?
What makes shear waves mechanical waves?
How do shear waves travel?
How are water waves different from Rayleigh waves?
Are Rayleigh waves seismic?
Are Rayleigh waves longitudinal or transverse?
Why do dolphins like pressure waves?
What are pressure waves also known as?
How do pressure waves propagate across space?
Are radio waves pressure waves?
When was the Polybius square used?
To see how two traveling waves of the same frequency create a standing wave. Consider a traveling wave described by the formula y_1(x,t)=A\sin(kx-\omega t). This function might represent the latera...
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