Standing waves are created in the four strings shown in Figure 25. All strings have the same mass per unit length and are under the same tension The lengths of the strings are given. Rank the frequencies of the oscillations, from largest to smallest
Answers
Answer:
The rank of the frequencies from largest to smallest is
The largest frequency of oscillation is given by the string in option D
The second largest frequency of oscillation is given by the string in option B
The third largest frequency of oscillation is given by the string in option A
The smallest frequency of oscillation is given by the string in option C
Explanation:
The given parameters are;
The mass per unit length of all string, m/L = Constant
The tension of all the string, T = Constant
The frequency of oscillation, f, of a string is given as follows;
[tex]f = \dfrac{(n + 1) \times \sqrt{\dfrac{T}{m/L} } }{2 \cdot L}[/tex]
Where;
T = The tension in the string
m = The mass of the string
L = The length of the string
n = The number of overtones
[tex]Therefore, \ {\sqrt{\dfrac{T}{m/L} } } = Constant \ for \ all \ strings = K[/tex]
For the string in option A, the length, L = 27 cm, n = 3 we have;
[tex]f_A = \dfrac{(n + 1) \times \sqrt{\dfrac{T}{m/L} } }{2 \cdot L} = \dfrac{(3 + 1) \times K }{2 \times 27} = \dfrac{2 \times K}{27} \approx 0.07407 \cdot K[/tex]
For the string in option B, the length, L = 30 cm, n = 4 we have;
[tex]f_B = \dfrac{(n + 1) \times \sqrt{\dfrac{T}{m/L} } }{2 \cdot L} = \dfrac{(4 + 1) \times K }{2 \times 30} = \dfrac{ K}{12} \approx 0.08 \overline 3\cdot K[/tex]
For the string in option C, the length, L = 30 cm, n = 3 we have;
[tex]f_C = \dfrac{(n + 1) \times \sqrt{\dfrac{T}{m/L} } }{2 \cdot L} = \dfrac{(3 + 1) \times K }{2 \times 30} = \dfrac{K}{15} \approx 0.0 \overline 6 \cdot K[/tex]
For the string in option D, the length, L = 24 cm, n = 4 we have;
[tex]f_D = \dfrac{(n + 1) \times \sqrt{\dfrac{T}{m/L} } }{2 \cdot L} = \dfrac{(4 + 1) \times K }{2 \times 24} = \dfrac{5 \times K}{48} \approx 0.1041 \overline 6 \cdot K[/tex]
Therefore, we have the rank of the frequency of oscillations of th strings from largest to smallest given as follows;
1 ) [tex]f_D[/tex] 2) [tex]f_B[/tex] 3) [tex]f_A[/tex] 4) [tex]f_C[/tex]
The order of the frequencies is [tex]f_D>f_B>f_A>f_C[/tex]
Standing waves:The frequency of the standing wave in a string tied at both ends is given by:
[tex]f=\frac{nv}{2L}[/tex]
where n is the mode of frequency
v is the velocity of the wave
and L is the length of the string.
Now the velocity of a wave in a string tied at both ends is given by
[tex]v=\sqrt{\frac{T}{\mu}}[/tex]
where T is the tension and μ is the mass per unit length.
Since T and μ are the same for all the strings, velocity [tex]v[/tex] will be the same for all.
Now to find the mode of frequency we can calculate the number of nodes (including the nodes at the ends) in the given figure and subtract by 1. Nodes are the point where the amplitude of the wave is zero.
[tex]f_A=\frac{3v}{2\times27}=\frac{v}{18}\;s^{-1}\\\\f_B=\frac{4v}{2\times30}=\frac{v}{15}\;s^{-1}\\\\f_C=\frac{3v}{2\times30}=\frac{v}{20}\;s^{-1}\\\\f_D=\frac{4v}{2\times24}= \frac{v}{12}\;s^{-1}[/tex]
Hence, [tex]f_D>f_B>f_A>f_C[/tex]
Learn more about standing waves:
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Related Questions
———PLEASE HELP——— I NEED THE ANSWERS (ILL GIVE BRAINLIST)
Answers
Answer:
mountains, earthquakes, tsunamis
Explanation:
How can speed and velocity be used to describe motion?
Answers
Answer:
speed described how fast the object moves velocity describes how fast and in what direction its moved..
Practice
1. Nitrogen and oxygen
en and oxygen in their liquid states have densities only 0.8 and 0.9
water. Atmospheric pressure is due primarily to the weight of nitro-
and oxygen gas in the air. If the atmosphere liquefied, would its depth
be greater or less than 10.3 m?
Answers
Answer:
In both cases the height is greater than 10.3 m
Explanation:
Pressure is defined by the relationship
P = F / A
in this case the force is the weight of the two gases
F = W = m g
If we use the definition of density
ρ = m / V
V = A h
m = ρ A h
we substitute
P = ρ g h
h = [tex]\frac{P}{\rho g}[/tex]
For this case the density of the gases is
ρ' = 0.9 [tex]\rho_{water}[/tex]
h =[tex]\frac{P}{0.9 \ \rho_{water} g}[/tex]
we calculate
ρ’= 0.9 \rho_{water}
h = 1 105 / (0.9 1000 9.8)
h = 11.3 m
ρ’= 0.8 \rho_{water}
h = 1 105 / (0.8 1000 9.8
h = 12.8 m
In both cases the height is greater than 10.3 m
Every day, we use electric power to run our modern appliances. Electric power transmission lines are visible examples of transportation of electricity. Power is the rate at which energy of any type is transferred. The factors that determine the consumption of electric power are both current as well as voltage. Our society depends on electricity. Using it more efficiently will mean that impact of our natural resources can be reduced.
In a domestic circuit as shown in the figure below, A room has a ceiling fan, a tube light and a filament bulb. The tube light draws 40 W, the fan 120 W and the bulb draws 60 W on an average. The tube light is kept on for 6 hours, the fan for 12 hours and the bulb for 5 hours a day. The rate of electrical energy consumed is 3.5 rupees/ unit.
i) How many units of energy are consumed only by the fan for a day?
a) 144
b) 1.44
c) 14.4
d) 0.144
ii) Identify the correct statement about the combination of the three electrical components:
a) All three are in series and applied potential across each component remains same.
b) All three are in parallel and current through each component remains same.
c) All three are in parallel and applied potential across each component remains same.
d) All three are in series and current through each component remains same.
iii) What should be the characteristics of the material used for making the safety device used to protect these appliances?
a) It should have high melting point and high resistivity.
b) It should have high melting point and low resistivity.
c) It should have low melting point and high resistivity.
d) It should have low melting point and low resistivity
iv) Which among the following equation cannot be used to calculate electric power.
a) P= VI
b) P = V2 / R
c) P = I2 R
d) P= I2 / R
v) If two more bulbs of power 80 W and 100 W are included parallel to the 60 W bulb, which bulb will consume more energy?
a) 80 W
b) 60 W
c) 100 W
d) All the bulbs will consume same energy
Answers
Answer:
BN/A (Figure not shown)ADCThe nucleus in an iron atom has a radius of about 4.0 10-15 m and contains 26 protons. (a) What is the magnitude of the repulsive electrostatic force between two of the protons that are separated by 4.0 10-15 m?
Answers
Answer:
The repulsive electrostatic force between two of the protons is 14.4 N.
Explanation:
Given;
distance between the two protons, r = 4 x 10⁻¹⁵ m
charge of a proton, q = + 1.6 x 10⁻¹⁹ C
The repulsive electrostatic force between two of the protons is calculated by applying Coulomb's law;
[tex]F = \frac{k q_1 q_2 }{r^2} \\\\where;\\k \ is \ Coulomb's \ constant = 9\times 10^9 \ Nm^2/C^2 \\\\F = \frac{9\times 10^9 \ (1.6\times 10^{-19})^2}{(4 \times 10^{-15})^2} \\\\F = 14.4 \ N[/tex]
Therefore, the repulsive electrostatic force between two of the protons is 14.4 N.
My buddy and I have just finished a dive to 15 metres/50 feet for 60 minutes. We want to return to the same site and depth and stay another 60 minutes. We can ______________________ to see about how long we have to remain at the surface to have enough no stop time. (choose all that apply)
Answers
Answer:
1) Periodically check the no stop or NDL time on their computers
2) The dive computer planning mode can be used if available
3) Make use of a dive planning app
4) Check data from the RDP table or an eRDPML
Explanation:
The no stop times information from the computer gives the no-decompression limit (NDL) time allowable which is the time duration a diver theoretically is able to stay at a given depth without a need for a decompression stop
The dive computer plan mode or a downloadable dive planning app are presently the easiest methods of dive planning
The PADI RDP are dive planners based on several years of experience which provide reliable safety limits of depth and time.
The distance of an illuminated object from its light source is decreased to 1/3 while the luminous flux remains constant. Which is true of the illuminance on the object
Answers
Answer:
The illuninance being multiplied by 9
Explanation:
Answer:
The illuminance will be multiplied by 9.
Explanation:
write the Newton's first law of motion any three examples to justify
Answers
Answer:
stationary object with no outside force will not move. With no outside forces, a moving object will not stop. An astronaut who has their screwdriver knocked into space will see the screwdriver continue on at the same speed and direction forever. There are no forces acting on the screwdriver from friction.
Please select the word from the list that best fits the definition
Calculated by angular velocity/time
Answers
Answer:
Hi... Your answer is angular acceleration
Please help as soon as possible!! Please!
Answers
PLZ HELP!! WILL MARK BRAINLIEST!!
As waves get closer to a beach they:
decrease in energy
increase in energy
decrease in height
increase in length
Answers
PLEASE HELP ME!!
Which health-related fitness component would be at an inadequate level if the person did poorly on a sit and reach fitness test?
a
Cardiovascular Endurance
b
Flexibility
c
Muscular Strength
d
Power
Answers
Answer:
B
Explanation:
Objects with different masses have the same gravitational force acting
on them.
TRUE
FALSE
Answers
It’s false. The answer is False.
Find the maximum velocity possible for the person on the swing.
if someone could explain with work that would be very much appreciated since I wasn't there when this was discussed in class.
Answers
Answer:
The maximum possible speed is 4.85 m/s.
Explanation:
The Principle Of Conservation Of Mechanical Energy
In the absence of friction, the total mechanical energy is conserved. It means that :
[tex]E_m=U+K[/tex] is constant, being U the potential energy and K the kinetic energy
U=mgh
Where m is the mass of the object, g is the gravitational acceleration and h is the height from a fixed reference.
[tex]\displaystyle K=\frac{mv^2}{2}[/tex]
Where v is the speed.
When the person is at a maximum height of 2 meters, the speed is 0. Thus the mechanical energy is made only of potential energy.
Let's fix the reference for the height to the point where the person is at minimum height (1 m from the ground level). The maximum height with respect to this reference is h=2.2 m - 1 m = 1.2 m.
The potential energy is:
U = m*9.8*1.2
U = 11.76m
When the person is at the minimum (zero) height, the mechanical energy is made only of kinetic energy. Since the mechanical energy is conserved, then:
[tex]\displaystyle \frac{mv^2}{2}=11.76m[/tex]
Multiplying by 2 and simplifying by m:
[tex]v^2=2*11.76=23.52[/tex]
Solving for v:
[tex]v=\sqrt{23.52}=4.85[/tex]
[tex]\boxed{v=4.85}[/tex]
The maximum possible speed is 4.85 m/s.
An Airplane taxis onto the runway going at 10 m/s. If it can accelerate steady at 3
m/s2 and its take-off speed is 90 m/s, what length of runway will it need? *
130 m
1350 m
1333 m
2666.7 m
A race car was is moving at a constant speed of 35 m/s. A security car was
Answers
Answer: 1333 m
the length of runway it will need is S = [tex]\frac{90^{2}-10^{2} }{2.3}=1333[/tex] (m)
Explanation:
1. how to find out the elecronic structure of
i. lithium
ii. potassium
iii. sodium
Answers
Answer:
See explanation
Explanation:
To find out the electronic structure of each element, you must know the number of electrons it contains.
If you find that out(the number of electrons in the neutral atom of an element is the same as its atomic number). Then you arrange those electrons in such a way that the first shell has only two electrons and subsequent shells have eight electrons.
Look up the groups to which the elements belong in the periodic table All the elements are in group 1 so the last shell must have only one electron.
a tennis ball mashine fires aball vertically upward at time t=0 at 19.6 m/s assume the air resistance is negligible and take g=9.8m/s^ calculate the displacement and velocity of the ball at t=1.0s,2.0s,3.0s and 4.0s
Answers
Answer:
See the answers below.
Explanation:
To solve this problem we must use the following equation of kinematics.
[tex]y=y_{o}+v_{o}*t+0.5*g*t^{2}[/tex]
where:
y = final elevation [m]
yo = initial elevation = 0
vo = initial velocity = 19.6 [m/s]
t = time required [s]
g = gravity acceleration = 9.81 [m/s²]
Now we can replace the different times in the equation above.
For t = 1 [s]
[tex]y=0+(19.6*1)-0.5*9.81*(1^{2} )\\y = 14.7 [m][/tex]
For t = 2 [s]
[tex]y=0+(19.6*2)-0.5*9.81*(2^{2} )\\y = 19.58 [m][/tex]
For t = 3 [s]
[tex]y=0+(19.6*3)-0.5*9.81*(3^{2} )\\y = 14.7 [m][/tex]
For t = 4 [s]
[tex]y=0+(19.6*4)-0.5*9.81*(4^{2} )\\y = -0.08 [m][/tex]
We can see that the sign of gravitational acceleration is negative, since it points in the opposite direction to the motion of the launch.
Note when the time is equal to 4 seconds we see that the distance is 0, ie the tennis ball has reached its maximum height and begins to descend.
A 20 cm square frame that can rotate about the 00' axis is placed in a homogeneous magnetic field with 0.5T induction directed vertically downwards.
a) Draw vectors of forces acting on the sides of the frame.
b) calculate the values of these forces and the resultant force acting on the frame.
c) calculate the torque of the frame.
Answers
The solution to this task is f00king Dis.
The engine that moves the cables for the San Francisco cable cars delivers 390.3 kW of power for each line. How long does it take for 6.5 ×10^6 J of work (about the amount of work needed to raise a partially loaded cable car up Nob Hill) to be done by this engine?
Answers
Answer:
It would take 16.7 s for the work to be done by the engine.
Explanation:
From the question, given: Power = 390.3 kW
Work to be done = 6.5 x [tex]10^{6}[/tex] J
But, power and work done with respect to time, has a relationship of:
Power = [tex]\frac{work done}{time}[/tex]
So that,
time = [tex]\frac{work done}{Power}[/tex]
Thus,
time = [tex]\frac{6.5*10^{6} }{390.3*10^{3} }[/tex]
= 16.6539
time = 16.7 s
Time required is 16.7 seconds.
Thus, it would take 16.7 s for the work to be done by the engine.
The handles of the tools like screwdrivers and pliers used by electricians for repair work usually have plastics or rubber covers on them. Give reason.
Answers
Electrician's screwdrivers usually have plastic handles—because plastic insulates the user's hands from the risk of electric shock—as well as plastic tubing that runs much of the length of the shaft.
Help help help plzzz. A 15-kilogram wagon originally at rest on a level road is pulled by a rope that exerts a constant horizontal force of 45 newton's, If the frictional forces on the wagon total 15 newton's, what will be its acceleration ? *
2.0 〖m/s〗^2
4.0 〖m/s〗^2
15 〖m/s〗^2
30 〖m/s〗^2
3.0 〖m/s〗^2
Answers
Answer:
A. 2m/(s^2)
I hope it will be useful.
Musical instruments that produce sound by vibration of a stretched string
Answers
Answer:
Stringed instruments (chordophones).
Explanation:
Musical instruments that produce sound by vibration of a stretched string are called stringed instruments (chordophones).
Some examples of stringed instruments are guitar, piano, harp, violin, sitar etc.
A guitar can be defined as a musical instrument with six or twelve strings and a long fretted fingerboard that are being played using a plectrum or by strumming (plucking) with the fingers, usually in a downward direction.
Basically, a guitar is a musical instrument that produces sound through regular vibrations and as a result of this, it is used for creating uniform and melodious sounds.
what should we do to be a computer engineer ?
Answers
Answer:
to be an eginere u would have to go to college and study hard
Explanation:
2. What mass of sulphuric acid (density 1.84 g/
cm) can be held in a 250 ml bottle?
Answers
[tex]volume \: = 250 \: ml \\ 1 \: ml = 1 {cm}^{3} \\ 250 \: ml = (1 \times 250) = 250 {cm}^{3} \\ mass \: = \: \frac{density}{volume} \\ mass \: = \: \frac{1.84}{250} \\ mass \: = \: 0.00736 \: g[/tex]
The mass of the sulfuric acid will be 0.00736 g.
What is mass?A physical body's mass is the amount of matter it contains. This is also a measurement of inertia of a particular body, or resistance to acceleration whenever a net force will be applied.
Calculation of mass.
Given data:
density (d) = 1.84 g/cm
volume (v) = 250 ml
Now, use the mass formula.
Mass (m) = density (d) / volume (v)
Mass (m) = 1.84 / 250
Mass (m) = 0.00736 g
Therefore, the mass of the sulfuric acid will be 0.00736 g.
To know more about mass.
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What is the frequency of this wave?
O1
O2
O3
O4
Answers
Answer:
f = 1/t
1/1
=1
Explanation:
The frequency f = 1/T = ω/2π of the motion gives the number of complete oscillations per unit time. It is measured in units of Hertz, (1 Hz = 1/s).
Which object has a net force of -68 N?
F = 31 N
F = 89 N
F, = 27 N
F=-53N
F = 53 N F-56N
F = 103 N
F = 34 N
F=-102 N
F = -27 N
F = -74 N
F=-89 N
Done
8 of 9
Answers
Answer:
5 or 6
Explanation:you
Answer:
The 3rd graph
Explanation:
The graph that says:
Fn = 27 N
Ff= -102 N
Fp= 34 N
Fg= -27 N
acrostic poem for cell theory. Especially theory
Answers
Answer:
In biology, cell theory is the historic scientific theory, now universally accepted, that living organisms are made up of cells, that they are the basic structural/organizational unit of all organisms, and that all cells come from pre-existing cells. Cells are the basic unit of structure in all organisms and also the basic unit of reproduction.
Explanation:
The three tenets to the cell theory are as described below:
All living organisms are composed of one or more cells.
The cell is the basic unit of structure and organization in organisms.
Cells arise from pre-existing cells.
There is no universally accepted definition of life. Some biologists consider non-cellular entities such as viruses living organisms,[1] and thus reasonably disagree with the first tenet. Throughout this article, it will lead you through the history of cell theory, how the discovery of cells was made possible, what the cell theory has become today and background information and history regarding other opposing concepts of cell theory.
In which of the following sentences is work used in the everyday sense of the word?
a. Lifting a heavy bucket involves doing work on the bucket.
b. The force of friction usually does negative work.
c. Sam and Rachel worked hard pushing the car.
d. Work is a physical quantity:
Answers
Answer:
Hi... Your answer is B... a is not work because work is ziro
How is an emulsion different from other colloids?
Answers
Answer:
The difference between colloid and emulsion is that a colloid can form when any state of matter (solid, liquid or gas) combine with a liquid whereas an emulsion has two liquid components which are immiscible with each other
Explanation:
how can you verify the archimedes principle?
Answers
Answer:
It is found that W1 - W2 loss in weight of solid when immersed in water is equal to the weight of the water displaced by the body. This verifies Archimedes' principle.