Question

a) What are nodes and antinodes for a standing wave? b) How is the distance between...

a) What are nodes and antinodes for a standing wave?

b) How is the distance between nodes related to the wavelength of a standing wave?

c) How do standing waves look for a string?

d) A pipe that is open at both ends?

e) A pipe that is closed at one end and open at the other?

please type your responses.

Homework Answers

Answer #1

a)

For a standing wave, the amplitudes of the particles along the wave are not equal.

Nodes are the points for which the amplitude is zero. The displacement of nodes is zero all the time. These points are not physically clamped but they remain fixed.

Antinodes are the points of maximum amplitude. The displacement of antinode increases from 0 to maximum with time and and is in phase with other antinodes.

b)

The distance between two consecutive nodes = 1/2 of the wavelength of the standing wave.

c)

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
a) Verbally describe how standing waves look for a string? A pipe that is open at...
a) Verbally describe how standing waves look for a string? A pipe that is open at both ends? A pipe that is closed at one end and open at the other? b) What produces the vibrations in various string instruments? c) How do the wavelength and frequency of a sound change if they are emitted by an object (such as an automobile) which is moving away from you? Towards you? Please type your responses for better legibility.
1) Selena measures the total distance between the nodes on either end of a standing wave...
1) Selena measures the total distance between the nodes on either end of a standing wave pattern to be 0.75 m, and she records that there were three antinodes between the endpoints. When she calculates half of the wavelength of the pattern, using these measurements, what is the result? Express your answer in meters. 4) Jerome has added mass to the holder and created the standing wave pattern. He observes that the string appears to have nodes where it meets...
7) (a) Draw a diagram to represent the standing wave patterns for the first three harmonics...
7) (a) Draw a diagram to represent the standing wave patterns for the first three harmonics of a pipe with one open end. (i) How many nodes and antinodes are there for each harmonic? (ii) What are the relations for the length of the rope L, the wavelength λ, and the frequency f of the standing waves?
1a. Derive a formula for the wavelength of a standing wave on a fixed string at...
1a. Derive a formula for the wavelength of a standing wave on a fixed string at both ends in terms of the number of antinodes, n, and the length of the string. 1b. For an aluminum rod, when a wave is set up in the rod, do you expect the ends of the rod to allow vibrations or not? Are they considered open or closed for displacement? 1c. Draw schematic pictures of the two longest wavelengths that could fit on...
A string is stretched out horizontally between two xed posts. (a) When set vibra ng at...
A string is stretched out horizontally between two xed posts. (a) When set vibra ng at a frequency of between 200 Hz and 600 Hz (3 SF, no zeroes), the string exhibits a standing wave with ve (5) loops. Make and label a sketch showing the wavelength ? of the waves and the length L of the string when vibra ng in this mode. (b) The string is between 4 and 9 meters long (3 SF, no zeroes). Calculate the...
Four standing waves, labeled A through D, are described below: Wave A: first harmonic; pipe closed...
Four standing waves, labeled A through D, are described below: Wave A: first harmonic; pipe closed at one end; length = 1 m Wave B: first harmonic; pipe open at both ends; length = 1 m Wave C: second harmonic; pipe open at both ends; length = 3 m Wave D: second harmonic; pipe closed at one end; length = 3 m Rank the standing waves in order of decreasing frequency. Rank from greatest to smallest. To rank items as...
6) (a) Draw a diagram to represent the standing wave patterns for the first five harmonics...
6) (a) Draw a diagram to represent the standing wave patterns for the first five harmonics of a rope fixed at both ends. (b) How many nodes and antinodes are there for each harmonic? (c) What are the relations for the length of the rope L, the wavelength λ, and the frequency f of the standing waves?
Rerstate the statement to describe the frequency of a standing wave: “The wavelength of a standing...
Rerstate the statement to describe the frequency of a standing wave: “The wavelength of a standing wave is twice the distance between successive nodes or successive antinodes”
1-state the relationship between a wave's velocity wavelength and frequency? 2- What is the principle of...
1-state the relationship between a wave's velocity wavelength and frequency? 2- What is the principle of superposition? 3- The distance between two nodes or two antinodes in a standing wave is …………………. Wavelength? 4- - The distance between an antinode and a node in a standing wave is …………………. Wavelength? 5- A string, which has a mass of 0.50 kg and a length of 3.0 meters, is clamped on both ends. If the tension in the string is 25 Newtons,...
A distance of 5.60 cm is measured between two adjacent nodes of a standing wave on...
A distance of 5.60 cm is measured between two adjacent nodes of a standing wave on a 28.0 cm-long string. HINT (a) In which harmonic number n is the string vibrating? (b) Find the frequency (in Hz) of this harmonic if the string has a mass of 1.25 ✕ 10−2 kg and a tension of 885 N. Hz