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:
https://brainly.com/question/1698005?referrer=searchResults
Related Questions
What are the units of Mass and Weight in the English System? Explain.
Answers
Answer:
I tried...
Explanation:
Assuming the English system of mass and weight is the same as the Imperial system, the measurements are:
• 1 pound (lb) = 16 ounces (oz)
• 2,000 pounds (lbs) = 1 ton (T)
I think that's everything?
In the English system, mass is measured in pounds and weight is also measured in pounds. However, it is important to understand the difference between mass and weight.
Mass is a measure of the amount of matter in an object and is a scalar quantity. It does not change with location or gravitational force. In the English system, mass is typically measured using a scale or balance, which compares the object's mass to a standard mass. The pound (lb.) is the unit of mass in the English system.
Weight, on the other hand, is a measure of the force exerted on an object due to gravity and is a vector quantity. It depends on the object's mass and the gravitational force acting on it. In the English system, weight is typically measured using a spring scale or a balance that incorporates a spring. The pound (lb.) is also used as the unit of weight in the English system.
Weight = Mass x Acceleration due to gravity
Mass is measured in pounds (lb.) and weight is also measured in pounds (lb.).It is important to note that weight can vary depending on the gravitational force acting on an object.
Learn more about weight here:
https://brainly.com/question/28221042
#SPJ2
Find the direction cosines of cartesian coordinates (3, -1, 2).
Answers
Explanation:
vgfbhhhhhjhbgvbhggy
True or false? When a change of state starts to occur, the energy supplied changes the temperature but not the internal energy.
Answers
Answer:
True
Explanation:
This heat energy allows the change of state to happen, and the temperature remains constant during the process. The amount of energy required to change the state of a substance depends upon the mass and characteristics of that substance. The energy required to change the state of a material is known as the latent heat. During a change of phase the temperature does not change, but the internal energy does. The internal energy is the sum of the kinetic energy of the molecules and the chemical potential energy of the molecules.
When a capacitor, in RC circuit, is fully charged, the current through the resistor is Select one: zero if it is the only capacitor, but maximum if there is another capacitor in series with it. At its maximum value. Greater than the current in a resistor that is farther from the battery than the capacitor. Zero. Equal to the current in a resistive circuit in parallel with the capacitor circuit.
Answers
Answer:
The correct option is "Zero". A further explanation is given below.
Explanation:
As we know,
The capacitor is given by:
⇒ [tex]Q=C\times V[/tex]
Rate of change with respect to the time will be:
⇒ [tex]\frac{dQ}{dt}=C\times \frac{dV}{dt}[/tex]
Now,
It is mentioned in the question that the capacitor is completely charged, then
⇒ [tex]\frac{dV}{dt}=0[/tex]
i.e.,
⇒ [tex]\frac{dQ}{dt}=0[/tex]
All other choices available aren't related to that same scenario in question. So the answer above is the perfect one.
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
Answers
Answer:third one from the left
Explanation:
The third object from the given problem has a net force of - 68 Newtons because there is no net vertical force action of this object as equal upward and downward forces cancel each other.
What is Newton's second law?Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.
F = m*a
The net vertical force = 27 Newtons - 27 Newtons
= 0 Newtons
The net vertical force on the object would be zero.
The net horizontal force acting on the object = - 102 Newtons + 34 Newtons
= -68 Newtons
Hence we can conclude that the net force of - 68 Newton acting on the third object.
Learn more about Newton's second law here, refer to the link;
brainly.com/question/13447525
#SPJ5
give reason: the liquid pressure varies with the depth.
can I get the answer fast??
Answers
Answer:
This is due to an increase in hydrostatic pressure, the force per unit area exerted by a liquid on an object. The deeper you go under the sea, the greater the pressure of the water pushing down on you.
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.
Calculate the total energy transferred when 200 g of ice cubes at 0°C are changed to steam at 100°C.
Specific heat capacity of water = 4200 J/kg °C
Specific latent heat of fusion = 340 kJ/kg
Specific latent heat of vaporisation = 2260 kJ/kg
Answers
Answer:
[tex]604000\ \text{J}[/tex]
Explanation:
m = Mass of ice = 200 g
[tex]\Delta T[/tex] = Temperature change of water = [tex](100-0)^{\circ}\text{C}[/tex]
c = Specific heat capacity of water = 4200 J/kg °C
[tex]L_f[/tex] = Specific latent heat of fusion = 340 kJ/kg
[tex]L_v[/tex] = Specific latent heat of vaporisation = 2260 kJ/kg
Heat required to convert ice to water = [tex]mL_f[/tex]
Heat required to raise the temperature of water to boiling point = [tex]mc\Delta T[/tex]
Heat required to convert water to steam = [tex]mL_v[/tex]
Total heat required
[tex]q=mL_f+mc\Delta T+mL_v\\\Rightarrow q=m(L_f+c\Delta T+L_v)\\\Rightarrow q=0.2(340\times 10^3+4200(100-0)+2260\times 10^3)\\\Rightarrow q=604000\ \text{J}[/tex]
Heat required to convert the given amount of ice to steam at the required temperature is [tex]604000\ \text{J}[/tex].
The moon Phobos orbits Mars
(mass = 6.42 x 1023 kg) at a distance
of 9.38 x 106 m. What is its period of
orbit?
Skip
|?]s
-nte
Answers
Answer:
The moon Phobos orbits Mars
(mass = 6.42 x 1023 kg) at a distance
of 9.38 x 106 m. What is its period of
orbit?
Explanation:
Answer: 27.9816 x 10^3 is the period of orbit
Please help as soon as possible!! Please!
Answers
12. A rolling ball has 18 J of kinetic energy and is rolling 3.0 m/s. Find its mass.
Answers
Answer:
4g
I hope it will be useful.
Explanation:
KE = (1/2)*m*v^2
If red and blue light rays fall with the same angle of incidence on the separating
surface between two different transparent media, then the ratio between the refraction
angle of the red light and the refraction angle of the blue light (.) is
a) greater than 1
b)equal to 1
c )indeterminable
d)less than 1
Answers
Answer:
I'm gonna say it's D
Explanation:
but when u do the experiment on in u head you'll actually find out that it is actually , indeterminable
Given the distance between the crest of one wave and the crest of the next wave, you can determine the?
Answers
hope this helped :)
How are computers used in education and entertainment? List them.
Answers
Answer:
The computers used in education and entertainment are:
Explanation:
Analog computer,Digital COMPUTER,Hybrid Computer
If six moles of hydrogen chloride (HCl) react with plenty of aluminum, how many moles of aluminum chloride (AlCl3) will the reaction produce?
2Al + 6HCl → 2AlCl3 + 3H2
Answers
Answer:
Two moles of aluminum chloride [tex](AlCl_3)[/tex] are produced when six miles of hydrogen Chloride [tex](HCl)[/tex] react with plenty of aluminum
Explanation:
6 Moles of [tex]HCl[/tex] will only react with 2 moles of [tex]Al[/tex] irrespective of the number of moles of each compound present. The reaction wiil take place in this ratio only. The products produced will be 2 moles of [tex]AlCl_3[/tex] and 3 moles of [tex]H_2[/tex] this ratio will also be constant.
So, six moles of hydrogen chloride [tex](HCl)[/tex] will react with plenty of aluminum to produce many 2 moles of aluminum chloride [tex](AlCl_3)[/tex].
the relationship between m2,cm2,mm2 and km2
Answers
Answer:
m2
Explanation:
I just knowyyysydyyyyyyyýdydysyydysysydydhdhhdhdhdhxhchxhhxhc
Answer:
Square Meters to Square Centimeters Conversion
1 Square meter (m2) is equal to 10000 square centimeters (cm2). ... For example, to convert 10 m2 to cm2, multiply 10 by 10000, that makes 100000 cm2 is 10 m2.
cm2↔mm2 1 cm2 = 100 mm2.
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.
Question 24 (1 point)
A 85 kg boy is riding his bicycle in circles with a radius of 7.2 meters. It takes him 6
seconds to make ones revolution. What is his velocity?
730 m/s
0.53 m/s
1.25 m/s
4:
7.54 m/s
Answers
I hope this helped!
I would appreciate it if you gave me a Thanks and a brainliest (:
A boy of mass 85 kg is riding a bicycle in a circle with a radius of 7.2 meters, and it takes 6 seconds to make one revolution, then his velocity will be equal to 7.54 m/s.
What is tangential velocity?The movement of an object along the circle's edge which path is always at the tangent to any specific point on the circle is described by tangential velocity.
As a result, tangential velocity is the amount of motion along a circle's edge that may be measured at any given time.
The speed at any location that really is tangent to the rotating wheel is quantified as the tangential velocity in a circular motion. The connection between rotational acceleration and tangential velocity is expressed by the formula. The part of movement along the circle's edge that can be detected at any time is called tangential velocity.
The given data in the question,
Radius, r = 7.2 meters.
Time, t = 6 seconds.
v = 2πr / t
v = 2π(7.2)/6
v = 7.54 m/s.
Therefore, the velocity of the boy is 7.54 m/s.
To know more about tangential velocity:
https://brainly.com/question/28738284
#SPJ2
A car’s brakes decelerate it at a rate of -1.70 m/s2. What is the time, in seconds, required to slow the car from 15 m/s to 9.0 m/s?
Answers
Answer:
t = 3.52 s
Explanation:
Given that,
The deceleration of a car is, a = -1.7 m/s²
The initial velocity of the car, u = 15 m/s
Final velocity of the car, v = 9 m/s
We need to find the time that is required to slow the car from 15 m/s to 9 m/s. The definition of acceleration is :
[tex]a=\dfrac{v-u}{t}\\\\t=\dfrac{v-u}{a}\\\\t=\dfrac{9-15}{-1.7}\\\\t=3.52\ s[/tex]
So, it will take 3.52 seconds to slow the car from 15 m/s to 9 m/s.
What is the kinetic energy of a go-kart with a mass of 25 kg and a velocity of 2 m/s?
Answers
Answer:
50 JExplanation:
The kinetic energy of an object can be found by using the formula
[tex]k = \frac{1}{2} m {v}^{2} \\ [/tex]
m is the mass
v is the velocity
From the question we have
[tex]k = \frac{1}{2} \times 25 \times {2}^{2} \\ = 12.5 \times 4[/tex]
We have the final answer as
50 JHope this helps you
a car drives at a velocity of 12 [m/s] for 9 [s]. what distance does the car drive?
Answers
Answer:
The car drives 108 m
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..
write the chemical name and chemical formula for four hydrogens and two nitrogen
Answers
Answer:
2 moles of H2Nsuperscript(-) or NHsubscript2 , amide group!
I hope it will be useful.
Objects with different masses have the same gravitational force acting
on them.
TRUE
FALSE
Answers
It’s false. The answer is False.
At night, within how many feet of approaching a vehicle from the rear must you dim your high beam headlights
Answers
Answer: 500 ft
Explanation:
High beam headlights help one to see better at night as the range of vision is greatly expanded. They can however, blind drivers coming on the opposite lane.
It is therefore prudent to ensure that when using high beam headlights, you dim them when a car is coming towards you. The appropriate distance to do so is a minimum of 500 ft from the car.