Answered: A wave and its reflection produce a…

A wave and its reflection produce a standing wave with the distance from NODE to nearest ANTINODE of 4 meters. What will be the wavelenght of this wave?

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

Chapter14: Superposition And Standing Waves

Section: Chapter Questions

Problem 15P

See similar textbooks

Related questions

Q: A 2.0 kg mass is attached to a string as shown. The mass/length of the string is 5.00 g/m. Determine…

Q: What is the period of the wave motion for a wave with a frequency of 0.55 kHz?

Q: Juliet is on a wing that hangs from a tree branch by 2.0-m long ropes. What frequency will Juliet…

A: Given, length of the rope, L =2.0m frequency, f=?

Q: A 3-m string is driven by a 240 Hz vibrator at its end. Determine the speed of transverse waves on…

Q: The wavelength of the fourth harmonic of a standing wave on a string is 1.8 m. What is the…

Q: What is the speed of a wave with wavelength =150m and T=9.8s, when it is moving through water 40m…

Q: A standing wave experiment is performed to determine the speed of waves in a rope. The standing wave…

Q: What is the period of the wave motion for a wave with a frequency of 0.48 kHz?

A: The frequency of the wave is given as, f=0.48 kHz=0.48×1000 Hz=480 Hz

Q: A violin string is tuned to 440 Hz (fundamental of first harmonic). When playing the instrument, the…

A: Write the expression for fundamental frequency of string.

Q: What is the possible number of nodes and antinodes along one full wavelength of a standing wave?

Q: A pipe open at both ends has two standing wave lengths of 1.5 meters and 1 meter with no standing…

A: Given data: The first standing wave length is L1=1.5 m The first standing wave length is L2=1 m…

Q: What is the period of the wave motion for a wave with a frequency of 0.13 kHz?

Q: A nylon rope of length 12m is under a tension of 1.5 * 10 ^ 4 * N N. The total mass of this rope…

A: Given Data : Length of rope (L) = 12 m Tension in rope (T) = 1.5 * 104 N Total mass of rope (M) =…

Q: A stationary boat bons up and down with a period of 2.3s when it encounters the waves from a moving…

A: Given data: Period (T) = 2.3 s Wavelength (λ) = 8.5 m Required: Frequency (f) and wave speed (v)

Q: A cork floating on a lake bobs up and down as a small wave passes. The cork completes 4.00 cycles in…

Q: What is the difference between a reflected wave at a fixed-end versus a free-end boundary?

A: The difference between a reflected wave at a fixed end versus free end boundary is to be told.

Q: A periodic transverse wave is created by shaking one end of a string side to side periodically.…

A: Given data: Number of oscillations = 30 Total time = 6.0 s The waveform repeats after every 0.48 m…

Q: The number of complete cycles of a wave passing a given point per given time interval is

Q: The fundamental wavelength for standing sound waves in an empty pop bottle is 0.88 m. What is the…

A: Given:

Q: A string is stretched such that it resonates in three loops. What is the wavelength of the wave if…

Q: What is the period of the wave motion for a wave with a frequency of 0.51 kHz?

Q: A harmonic wave is travelling along a rope. It completes 50 vibrations within 30 s. The generated…

Q: A nylon rope of length 12m is under a tension of 1.6 * 10 ^ 4 * N The total mass of this rope is 2.2…

Q: The picture shows a water wave. Find the speed of the wave if x= 28 m and the blue dot take 10…

A: Given: x = 28 m Time from top to next lowest is 10 s .

Q: A 5.0m string is oscillating in a third harmonicstanding wave. calculate the 1) Wavelength of the…

A: (1) Write the formula for the wavelength of the third harmonic wave in the string.

Q: A nylon rope of length 16m is under a tension of 1.5 × 104 N. The total mass of this rope is 2.1 kg.…

Q: A transverse wave is traveling through a canal. If the distance between two successive crests is…

Q: A Standing wave experiment is performed to determine the speed of waves in a rope. The standing wave…

Q: How is sine curve related to a wave?

A: A sine function is related to a wave by shape of its graph and its periodic properties. A wave has…

Q: A standing wave on a string with a length of 14.3m has 8 antinodes and is generated by a 120Hz…

A: Write the general expression for a standing wave

Q: Consider a wave produced on a stretched spring by holding one end and shaking it up and down. Does…

A: The wavelength can be expressed as

Q: The string in given image is 8.2 meters long and is vibrating as the fifth harmonic. The string…

Q: if the wave has a force of 50N, what is the force the couple was able to push back onto the wave?

A: Given : F = 50 N

Q: What is the period of the wave motion for a wave with a frequency of 0.27 kHz?

A: Time period of a wave is the time needed to complete one complete oscillation(vibration). Frequency…

Q: A pitch of Middle D (first harmonic = 294 Hz) is sounded out by a vibrating guitar string. The…

A: Given: length of string = 70 cm = 0.7 m frequency, f = 294 Hz

Q: Does amplitude play a factor in wave SPEED? Explain your answer.

Q: What is the wave speed in the rope at the bottom end?

Q: A sound source of power P emits a single frequency. If the source power increases to 8P, what will…

A: P1=PP2=8P

Q: Calculate the wavelength and wave speed of a 5.0 meters string which is vibrating in the fourth…

A: The length of the string L=5m, number of vibrational cycles completed by the string n=48 and time…

Q: If the wavelength of the standing wave of the vibrating string is 0.4m, then calculate the length of…

A: Since in the given figure there are 3 nodes and it completes 1 full wavelength(λ). Hence, length of…

Q: waves moving on a lake have a speed of 1.2 m/s and a distance of 2.0 m between adjacent crests. what…

A: Given Speed of the wave is v=1.2 m/s Distance between the adjacent crests is λ=1.2 m/s Find the…

Q: A pipe of length 4.8 m is closed at one end and sustains a standing wave at its second overtone.…

A: L = 4.8movertone = 2 using formula for second overtonewavelength = 4L/5 = 4 * 4.8/5 = 3.84 m

Q: The second harmonic of an open pipe has a frequency double the frequency of the third harmonic of a…

A: f2 of open=f3 of closedvLopen=23v2LclosedLopen=Lclosed3

Q: A harmonic wave is traveling along a rope. It is observed that 30 complete waves pass every 25…

A: The frequency of the wave is equal to the number of vibrations per second. It can be given as,…

Q: At which point of a stationary wave the sound heard is maximum, at the node or at the antinode?

A: A stationary wave is fomed by the superposition of two waves. Nodes are those points where two…

Q: A periodic transverse wave that has a frequency of 10 HZ travels along a string. The distance…

A: Frequency of periodic transverse wave (f) = 10 Hz distance between adjacent crest or adjacent trough…

Concept explainers

Equation of Waves

Wave is an oscillation or disturbance traveling in a medium. It performs the transportation of energy but does not carry any matter. This motion of waves will transport fuel in a medium without permanent transfer of mass (particle).

Question

A wave and its reflection produce a standing wave with the distance from NODE to nearest ANTINODE of 4 meters. What will be the wavelenght of this wave?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Equation to find the wavelength from separation between nearest node and antinode of a standing wave

VIEW

Calculation

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A transverse wave on a string is modeled with the wave function y(x,t)=(0.20cm)sin(2.00m1x3.00s1t+16) . What is the height of the string with respect to the equilibrium position at a position x=4.00m and a time t=10.00s ?
A transverse wave on a string (=0.0030kg/m) is described with the equation y(x,t)=0.30msin(24.00m(x16.00mst)) . What is the tension under which the string is held taut?
A string fixed at both ends resonates in its fourth harmonic. The tension in the string is quadrupled. What happens to a. the speed of the wave, b. its wavelength, and c. its frequency?
Consider a wave produced on a stretched spring by holding one end and shaking it up and down. Does the wavelength depend on the distance you move your hand up and down?
A student holds an 80.00-cm lab pole one quarter of the length from the end of the pole. The lab pole is made of aluminum. The student strikes the lab pole with a hammer. The pole resonates at the lowest possible frequency. What is that frequency?
A wave travels upward in a medium (vertical wave velocity). What is the direction of particle oscillation for (a) a longitudinal wave and (b) a transverse wave?
Consider a sound wave modeled with the equation s(x,t)=4.00nmcos(3.66m1x1256s1t) . What is the maximum displacement, the wavelength, the frequency, and the speed of the sound wave?
A wave with particle oscillation parallel to the direction of propagation is a(n) _____ . (6.2) (a) transverse wave (b) longitudinal wave (c) light wave (d) none of the preceding
A sound wave produced by an ultrasonic transducer, moving in air, is modeled with the wave equation s(x,t)=4.50nmcos(9.15104m1x2(5.00MHz)t) . The transducer is to be used in nondestructive testing to test for fractures in steel beams. The speed of sound in the steel beam is v=5950 m/s. Find the wave function for the sound wave in the steel beam.
How many values of amplitude are there in one wavelength of a wave, and how is the amplitude related to the energy of a wave?
Sine waves are sent down a 1.5-m-long string fixed at both ends. The waves reflect back in the opposite direction. The amplitude of the wave is 4.00 cm. The propagation velocity of the waves is 175 m/s. The n=6 resonance mode of the string is produced. Write an equation for the resulting standing wave.
A flute plays a note with a frequency of 600 Hz. The flute can be modeled as a pipe open at both ends, where the flute player changes the length with his finger positions. What is the length of the tube if this is the fundamental frequency?