The resistance r of the resistor which is placed in series with a 130-w lamp and a 120 V source is 21.66 Ω
According to the question,
Power of the lamp = 130 W
The voltage of the source = 120 V
The voltage across the lamp = 32 V
According to Kirchow's voltage Law,
The algebraic sum of voltage in a closed loop is zero.
So ∑V = \(V_{resistor}+V_{lamp}+V_{source}\) =0
\(V_{Lamp}=-32 V\)
\(V_{source}=120V\)
0 = 120 - 32 + \(V_{resistor}\)
\(V_{resistor}\) = -88 V
Power of the lamp = V * I
130 = 32 * I
I = \(\frac{130}{32} A\)
According to Ohm's Law,
V ∝ I
V = I*R
where V is the potential difference across the resistor
I is the current flowing through the resistor
R is the resistance of the resistor
Since the lamp and resistor are connected in series, they have the same amount of current flowing
Therefore, 88 = \(\frac{130}{32}\) * r
r = \(\frac{88*32}{130}\)
r = 21.66 Ω
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If you are going through space at 30 miles per hour. How fast are you going in km per week? (1 mile = 1.609 km)
Answer:
hi I am Manasi
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How do you determine how much kinetic energy an object has
A: by finding mass and speed
B: by finding height and width
C: by finding its position and form
D: by finding its speed and direction
Answer:
the answer is a
hope it helps
if nominal gdp is 1800 and the money supply is 450, then what is velocity?
Answer:
Explanation:
answer: 4 velocity.
if nominal gdp is 1800 and the money supply is 450, then what is velocity?
4 velocity.
If the nominal GDP is 1800 and the money supply is 450, then the velocity of money would be 4.
The total value of goods and services generated in an economy during a given time period, usually a year, is referred to as nominal GDP and is not adjusted for inflation. It depicts what products and services are now selling on the market.
Given:
Nominal GDP, PQ = 1800
Money supply, M = 450
From equation of exchange:
MV = PQ
V = (PQ) ÷ M
V = (1800) ÷ (450)
V = 4
Hence, if the nominal GDP is 1800 and the money supply is 450, then the velocity of money would be 4.
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A hippopotamus laying on the rock exerts 10,000 N on the rock. The rock has a mass of
2 tons. How much work is being done? Be sure to show your work.
Answer:
Explanation:
If the hippo is laying on the rock, I'm assuming that there is no movement going on at all, in either the hippo or the rock. If no movement occurs, there is no work being done.
Why do scientists interested in Earth’s magnetic field collect cores from rocks at the Mid-Atlantic Ridge?
Ocean drilling cores have been used to confirm the age of the oldest oceanic crust, which was formed about missing years ago.
What is magnetic field ?An electric charge, an electric current, and magnetic materials are all affected magnetically by a magnetic field, which is a vector field. A force perpendicular to the magnetic field and its own velocity acts on a moving charge in a magnetic field.
Because it shields the planet from dangerous radiations such solar winds, which have high radiation levels, the magnetic field of the Earth is crucial. The sun's solar energy includes solar winds.
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a very thin horizontal, 2.00-m long, 5.00-kg uniform beam that lies along the east-west direction is acted on by two forces. at the east end of the beam, a 200-n force pushes downward. at the west end of the beam, a 200-n force pushes upward. what is the angular acceleration of the beam?
The angular acceleration of the beam of length 2 meters and mass 5 kg is 240 radian/s².
The length of the rod is 2 meters, the mass of the rod is 5kg, a force of 200N is applied downward in the east direction while a force of 200N applied upward in west direction.
We know,
That the torque on a body is,
T = Fr
T is torque,
F is the force,
r is the perpendicular distance from the axis of rotation.
So, assuming the centre of the beam as the axis of rotation, the torque on the body is,
T = 200(1)+200(1)
T = 400N-m
We also know,
That torque on the body is,
T = IA
Where I is moment of inertia of the beam,
A is the angular acceleration of the body,
We know, moment of inertia of the beam assuming the centre of the rod as axis of rotation is,
I = MR²/12
M is the mass of the body,
R is the length of the rod,
So,
I = 5(2)²/12
I = 20/12 kg-m²
So, now we can write,
T = 20/12A
As both are value of torque, so,
20/12A = 400
A = 240 radian/s²
The angular acceleration is 240 radian/s².
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The least specific method for identifying real property is A) lot and block B) metes and bounds C) rectangular survey D) street address
The least specific method for identifying real property is D) street address.
A street address is the least specific method for identifying real property because it only provides a general location and does not provide any specific information about the boundaries, dimensions, or legal description of the property. A street address is typically used for identifying residential or commercial properties and is assigned by the local government or postal service for the purpose of mail delivery and emergency services. While a street address can be useful for general purposes, it is not sufficient for legal or technical purposes such as property transactions, boundary disputes, or land surveys.
Metes and bounds, rectangular survey, and lot and block are more specific methods for identifying real property. Metes and bounds involves describing the property by its physical boundaries and landmarks. Rectangular survey involves dividing land into townships and sections based on a grid system. Lot and block involves dividing land into individual lots and describing them by their lot number and block number in a plat map. These methods provide more specific information about the property and are commonly used in legal and technical contexts.
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10. Analyze What is the wavelength of these waves?
Answer:
Wavelength is the distance between the two closest points that are in phase with each other along a wave.
Explanation:
When a plane minor is placed horizontally on level ground at a distance of om from the foot of tower
the top of the tower and its image in the mirror subtend an angle of 90" at the eye. The height of the tower
a) 30m
b) 60m
c) 90 m
d) 120m
Answer:
b : 60m
Explanation:
when a plane mirror is placed horizontally on a level ground at a distance of 60m from the top of tower as shown in figure. a/c to question, The top of tower and its image in the mirror subtend an angle of 90° at the eyes. so, angle made by top of tower and horizontal line is 45° as
How does the antiparallel arrangement of the two strands of dna, where the 5’ to 3’ arrangement of one strand is reversed on the other strand, lead during dna replication to the formation of both a leading and a lagging strand at a replication fork?.
The antiparallel arrangement of DNA strands, where one strand runs in the 5' to 3' direction and the other in the 3' to 5' direction, leads to the formation of both a leading and a lagging strand during DNA replication.
DNA replication occurs at a replication fork, where the two parental DNA strands separate and act as templates for the synthesis of new daughter strands. The antiparallel arrangement of the DNA strands plays a crucial role in this process.
The leading strand is synthesized continuously in the 5' to 3' direction, matching the template strand's 3' to 5' orientation. The DNA polymerase enzyme can synthesize the leading strand continuously by adding nucleotides in the same direction as the replication fork moves. This occurs because the template strand's 3' end is exposed as the fork opens, allowing continuous addition of nucleotides in the 5' to 3' direction.
In contrast, the lagging strand is synthesized discontinuously in short fragments called Okazaki fragments. This occurs because the template strand's 5' to 3' orientation is opposite to the replication fork's direction. As the fork opens, the template strand's 5' end is exposed. The DNA polymerase enzyme can only add nucleotides in the 5' to 3' direction, so it synthesizes the lagging strand in the opposite direction of the fork movement. RNA primers are initially added to provide a starting point for DNA synthesis, and then DNA polymerase adds nucleotides to form Okazaki fragments. These fragments are later joined together by DNA ligase to form a continuous lagging strand.
In summary, the antiparallel arrangement of DNA strands in the 5' to 3' and 3' to 5' directions during replication allows for the synthesis of both a leading strand, which is synthesized continuously in the same direction as the replication fork movement, and a lagging strand, which is synthesized discontinuously in the opposite direction of the fork movement, forming Okazaki fragments.
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What is a cyclotron??
What is cyclotron frequency?
Answer:
A cyclotron is a type of particle accelerator.
Explanation:
Cyclotron frequency is the frequency of a charged particle moving perpendicular to the direction of a uniform magnetic field B, since that motion is always circular, the cyclotron frequency is given by equality of centripetal force and magnetic Lorentz force.
Challenge Exercises: The following exercises are of a greater difficulty than the earlier ones, though still matched to our course objectives. These exercises are not intended to prepare you for test questions, instead they expose you to more complex, real-world scenarios. You may struggle more with these questions than the Routine exercises. Remember your problem solving strategies! Read carefully and repeatedly. What words are familiar in the problem statement? What terms have been defined in the class, versus what is being provided to you within the exercise itself? Who can you work with for assistance? 8. The power generated by a stationary cyclist depends on both the resistance on the fly-wheel and the cadence (i.e. how fast the cyclist is pedaling). A University of Calgary study looked at fixed levels of exertion and drew curves for the relationship between resistance and cadence. Let's examine the relationship between resistance and cadence at a fixed activity level (i.e. perceived level of exertion). The article cites that they used a Hill function of the form (R+a) · (v + b) = b(Ro + a), where R is the resistance and Ro is the maximal resistance (both in Newtons), v is the cadence (in revolutions per minute), and a and b are other constants. (a) For the lowest activity level used in the study, the maximal resistance was 75 Newtons. Also, when resistance dropped to 0, cadence was 180 rpm; when resistance was 10 Newtons, cadence dropped to 100 rpm. Use this data to find values of the constants a and b. (b) Including the constants from part (a), express the formula from the article explicitly in the form of R as a function of v. (c) What is the long-term behavior of R? Is this behavior meaningful in context?
a) Given that the Hill function is (R+a) · (v + b) = b(Ro + a)Here, R = resistance, Ro = maximal resistance, v = cadence, a, b are constantsGiven, maximal resistance, Ro = 75 Newtons,Resistance, R = 0, cadence, v = 180 rpmResistance, R = 10 Newtons, cadence, v = 100 rpmWe have to calculate a and b.For R = 0, v = 180, 10a + 180b = 75b, and b = (10a/−100 + 9/2)For R = 10, v = 100, 20a + 100b = 750 − 75
a.Substitute the value of b in the above equation.20a + 100(10a/−100 + 9/2) = 750 − 75a20a − 10a + 450 = 750 − 75a10a = 300a = 30Substitute the value of a in the equation (10a/−100 + 9/2) = b(10/−100 + 3/2)b = 15/16Therefore, the value of a is 30 and the value of b is 15/16. Hence, we got the value of a and b.b) Here the Hill function is (R+a) · (v + b) = b(Ro + a)Substituting the value of a and b in the equation, we get (R + 30) (v + (15/16)) = (15/16)(75+30)R + 30 = (15/16)105R = (105(v + (15/16)) − 2475)/15R = (7(v + (15/16)) − 165)/15
Therefore, the formula for R as a function of v is given by R = (7(v + (15/16)) − 165)/15.c) Long-term behavior of R is the value of R when v approaches infinity. Thus, the limiting value of R when v approaches infinity is Ro, i.e. 75 Newtons. Thus, the long-term behavior of R is that as the cadence increases, the resistance approaches its maximal value. This behavior is meaningful in the context of a stationary bicycle since maximal resistance represents the level of physical resistance that a cyclist may face.
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a 100 g ball rolls off a table and hits 2.0 m from the base of the table. a 200 g ball rolls off the same table with the same speed. it lands at distance
The 200 g ball lands at a distance of 2.0 m from the base of the table.
We are given the masses of the balls (100 g and 200 g), the distance from the base of the table (2.0 m), and we need to determine the distance the 200 g ball lands from the base of the table.
To solve this problem, we'll assume that the only force acting on the balls after they leave the table is gravity, and that air resistance is negligible.
Since both balls roll off the table with the same speed and are only affected by gravity, their horizontal motion should be the same.
Recognize that both balls have the same initial horizontal speed and are under the influence of gravity.
Understand that their masses (100 g and 200 g) do not affect their horizontal motion because gravity affects all objects equally.
Since their horizontal motion is the same, the 200 g ball will also land 2.0 m from the base of the table, just like the 100 g ball.
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pattern on a screen after light passes through a single slit. if the slit width is slightly increased, does the central bright spot change?
No, the central bright spot does not change. When light passes through a single slit, it creates a pattern on a screen known as a diffraction pattern.
This pattern consists of a central bright spot called the central maximum, surrounded by alternating bright and dark fringes. If the width of the slit is slightly increased, the overall diffraction pattern may become wider, but the central bright spot remains unchanged.
The intensity of the central maximum may decrease slightly due to increased diffraction, but its position and general characteristics remain the same.
The central bright spot is primarily determined by the wavelength of the light and the width of the slit, so slight changes in the slit width would not significantly affect its properties.
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A car is moving at a speed of 72 km / h on a horizontal section. What is the braking distance of the car if the friction force is equal to the size of the weight of the car? (20 m) (+ formula)
Answer:
20.4m
Explanation:
72kmhr(1000mkm)(hr3600sec)=20ms
Use principles of conservation of energy.
The initial kinetic energy of the car is equal to the work done by friction during braking:
KE=Wfric
12mv2=(Ffric)d
but the force of friction = weight of the car = mg
12mv2=mgd
mass cancels in both terms, which tells us the answer is independent of mass
12v2=gd
12202=(9.81)d
d=20.4m
Note that the correct answer should actually be 20. m with only 2 significant figure accuracy since 72 km/hr only has 2 sig fig accuracy.
What is the momentum of an 80 kg runner moving at the speed of 2.5 m/s? Use the
exact value you obtain in a calculator.____kgm/s
Answer:
200 kgm/s
Explanation:
momentum = mass x velocity
A coin was flipped in the air and reached a maximum height of 1.5 meters. What was the initial velocity? How long was the coin in the air? Ignore air resistance.
Answer:
Vi = 5.42 [m/s]
t = 0.55 [s]
Explanation:
To solve this problem we must use the following equation of kinematics.
\(v_{f} ^{2} =v_{o} ^{2} -(2*g*y)\)
where:
Vf = final velocity = 0 (At maximum elevation the coin doesn't move)
Vi = initial velocity [m/s]
g = gravity acceleration = 9.81 [m/s²]
y = elevation = 1.5 [m]
Note: The negative sign in the above equation means that the direction of the gravity acceleration is acting against the movement of the coin when it is going up.
0 = (Vi)² - (2*9.81*1.5)
29.43 = (Vi)²
Vi = 5.42 [m/s]
The time we can find it using the next equation also from kinematics.
\(v_{f} =v_{i} -g*t\\\)
0 = 5.42 - 9.81*t
t = 5.42/9.81
t = 0.55 [s]
Answer:
Vi = 5.42 [m/s]
t = 0.55 [s]
Explanation:
To solve this problem we must use the following equation of kinematics.
where:
Vf = final velocity = 0 (At maximum elevation the coin doesn't move)
Vi = initial velocity [m/s]
g = gravity acceleration = 9.81 [m/s²]
y = elevation = 1.5 [m]
Note: The negative sign in the above equation means that the direction of the gravity acceleration is acting against the movement of the coin when it is going up.
0 = (Vi)² - (2*9.81*1.5)
29.43 = (Vi)²
Vi = 5.42 [m/s]
The time we can find it using the next equation also from kinematics.
0 = 5.42 - 9.81*t
t = 5.42/9.81
t = 0.55 [s]
Explanation:
Hi Kema :3
Which phrases describe all the outer planets’ motion? Select two options.
no rotation
fast rotation
slow revolution
opposite revolution
north to south rotation
Answer:
Fast rotation
Slow revolution
Explanation:
Solar system has 8 planets. 4 inner rocky planets - Mercury, Venus, Earth and Mars and 4 outer gaseous planets - Jupiter, Saturn, Uranus and Neptune. The outer planets have few common features.
They are gaseous. There period of revolution is larger than the inner planets which means that they have slow revolution about the Sun. One day on the outer planets is smaller than the inner planets which means they have fast rotation.
For example, Jupiter has revolves around sun in 11.86 Earth years and rotates about axis in 9.8 Earth hours. Uranus revolves around sun in 84 Earth years and rotates on its axis 17.9 Earth hours.
Answer:
Fast rotation
Slow revolution
Explanation:
did the test
Klay Thompson and Draymond Green wanted to play a joke on Steph Curry. Kay threw a balloon horizontally at 50 m/s from 150 m high bridge. How fa
did the balloon go when it landed?
Answer:
52 feet away from the nba court
Draymond Green and Klay Thompson wanted to make fun of Steph Curry. Kay could have thrown a balloon horizontally at 50 meters per second from a bridge that was 150 meters high, and it would have landed 276.5 meters away.
What are the three equations of motion?There are three equations of motion given by Newton,
v = u + at
S = ut + 1/2 × a × t²
v² - u² = 2 × a × s
By using the second equation of the motion,
S = ut + 1/2 × a × t²
150 = 0 + 0.5 × 9.8 × t²
t² = 150 / 4.9
t = 5.53 seconds
The horizontal displacement of the balloon = 50 × 5.53
= 276.5 meters
Thus, Draymond Green and Klay Thompson wanted to make fun of Steph Curry. Kay could have thrown a balloon horizontally at 50 meters per second from a bridge that was 150 meters high, and it would have landed 276.5 meters away.
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help me with how to work it
Answer:
c
Explanation:
What can you say about the effort force needed to lift an object using an ideal lever with a force advantage greater than 1?
Select one:
a. The effort force is the same as the lifting force.
b. The effort force is less than the lifting force.
c. The effort force is greater than the lifting force.
d. You have to use the formula to calculate the effort force.
When the effort force needed to lift an object using an ideal lever with a force advantage greater than 1, The effort force is less than the lifting force. The correct option is b.
What is force advantage?Force is the mechanical physical quantity. The force advantage is equivalent to the mechanical advantage equal to the ratio of output to the input force.
The force advantage is
F.A = lifting force / effort force
When the effort force is greater, FA is less than 1. When FA is greater than 1, definitely, the effort force is less.
Thus, the effort force is less than the lifting force. The correct option is b.
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Calculate the acceleration of a car (in km/hâs) that can go from rest to 130km/h in 5.0s .
The acceleration of the car is approximately 26 km/h^2.
To calculate the acceleration of the car, we can use the formula:
acceleration = (change in velocity) / time taken
Here, the change in velocity is 130 km/h - 0 km/h = 130 km/h, and the time taken is 5.0 s. Note that we need to convert the units of velocity and time to the same units before we can use this formula. Let's convert km/h to m/s by multiplying by 1000/3600:
130 km/h x (1000 m/km) / (3600 s/h) = 36.11 m/s
Now we can calculate the acceleration:
acceleration = (36.11 m/s) / (5.0 s) = 7.22 m/s^2
To convert this to km/h^2, we can multiply by (3600 s/h) / (1000 m/km):
7.22 m/s^2 x (3600 s/h) / (1000 m/kmthe) = 26 km/h^2
Therefore, the acceleration of the car is approximately 26 km/h^2.
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What causes the change in momentum?
Answer:
See explanation
Explanation:
A change in momentum occurs when a force is applied to an object and changes its velocity.
The highest freefall jump on record is from a height of almost 38,000 m. At this height, the acceleration of gravity is slightly weaker than the accelera
of gravity on the surface of Earth. Although the skydiver used a parachute to slow himself down below a certain altitude, how would the increasing
acceleration impact his velocity and rate of displacement covered?
His velocity and rate of displacement will be affected by increasing his acceleration because as his speed rises as a result of his higher rate of acceleration, so does the rate at which air resistance rises.
Air exerts a force known as air resistance. The force acts in the opposite direction when anything is in motion through the air.
The force of air resistance works to balance the pull of gravity as a diver descends. The amount of air resistance increases as the skydiver descends faster and faster until it reaches a point where it is equivalent to the force of gravity.
When the forces of gravity and air resistance are equal, the skydiver has reached a state of equilibrium and is no longer accelerating. At this point, the skydiver reaches terminal velocity.
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true/false. a three-dimensional isotropic harmonic oscillator with hamiltonian is an instance of quantum mechnaical systems where a particle mass m is exposed to a spherically-symmetric potential
True that a three-dimensional isotropic harmonic oscillator with Hamiltonian is an instance of quantum mechanical systems where a particle is exposed to a spherically-symmetric potential.
What is an isotropic harmonic oscillator, exactly?The defining matrix referring of U has a component called the N-dimensional isotropic harmonic oscillator (N). The energy is confined, similar to the one-dimensional situation. Using the analogy of N separate one-dimensional oscillators, we would anticipate that the ground state energy is N times the one-dimensional ground energy.
What does a harmonic oscillator's Hamiltonian look like?The Hamiltonian is given the form H = p2 2m + m2 x2 2, resulting in the Hamiltonian operator, H = p2 2m + m2 x2 2. thus gives the Hamiltonian operator, H = p2 2m + m2 x2 2, which is one of the most real challenges in quantum mechanics.
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electrons are accelerated by a 1000-v potential drop. (a) calculate the de broglie wavelength. (b) calculate the wave- length of the x-rays that could be produced when these elec- trons strike a solid.
The de Broglie wavelength of the electron is 2.212 x 10-11 m.
What is Broglie wavelength?The de Broglie wavelength is a concept in quantum mechanics which states that all matter has a wave-like nature, and can thus be described as a wave.
(a) The de Broglie wavelength (λ) of a particle is given by the equation: λ = h/p, where h is Planck's constant (6.626 x 10-34 J.s) and p is the momentum of the particle.
The momentum of an electron with a 1000-V potential drop is given by the equation p = eV/c,
where e is the electron charge (1.602 x 10-19 C) and c is the speed of light (2.998 x 108 m/s).
Therefore, the de Broglie wavelength of the electron is:
λ = h/(eV/c) = (6.626 x 10-34 J.s) / (1.602 x 10-19 C x 1000 V/2.998 x 108 m/s) = 2.212 x 10-11 m.
(b) X-rays are produced when high-energy electrons strike a solid.
The wavelength of the x-ray is inversely proportional to the energy of the electron.
The energy of the electron is equal to the potential drop, i.e. 1000 eV. Therefore,
the wavelength of the x-ray produced is: λ = hc/eV = (6.626 x 10-34 J.s x 2.998 x 108 m/s)/(1.602 x 10-19 C x 1000 eV) = 1.246 x 10-10 m.
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If there is 10% sales tax on a car costing $18,000
How much is the sales tax?
O $180
O $1800
O $1.80
O $800
Answer:
180
Explanation:
i think
A bowling ball has a mass of 50 kg and is traveling with a velocity of 18 m/s 4 points
down the lane. How much momentum does it have?
momentum= mass × velocity
p= 50×18
momentum= 900 kg m/s
!! HELP !!
How much mass must you place
0.0250 m from a 0.512 kg Coke
bottle to create 0.00100 N of
gravitational force between them?
Unit: mass ( kg )
Answer:
18301.4Kg
Explanation:
Step 1:
Data obtained from the question. This include the following:
Mass 1 (M1) = 0.512Kg
Mass 2 (M2) =..?
Distance apart (r) = 0.0250m
Force (F) = 0.001N
Gravitational force constant (G) = 6.67x10^-11Nm²/Kg²
Step 2:
Determination of the mass, M2 needed to create a force of 0.001N.
This can be obtained as follow:
F = GM1M2/r²
0.001 = 6.67x10^-11 x 0.512 xM2/0.025²
Cross multiply
6.67x10^-11 x 0.512 xM2 = 0.001x0.025²
Divide both side by 6.67x10^-11 x 0.512
M2 = (0.001x0.025²)/(6.67x10^-11x0.512)
M2 = 18301.4Kg
Therefore, a mass of 18301.4Kg is needed
Data
Amplitude
1.25 cm
1.00 cm
.75 cm
.50 cm
Frequency
2.10 Hz
2.10 Hz
2.10 Hz
2.10 Hz
Wavelength
?
?
?
?
Conclusion
1. What is the relationship between wavelength and frequency?
2. What is the relationship between wavelength and amplitude?
Amplitude
1.25 cm
1.00 cm
.75 cm
.50 cm
Frequency
2.10 Hz
2.10 Hz
2.10 Hz
2.10 Hz
Wavelength
0.6
0.5
0.4
0.24
How do we determine the values for wavelength?The relationship between wavelength and frequency is inversely proportional. As the frequency of a wave increases, the wavelength decreases.
The relationship between wavelength and amplitude is not a direct one. Amplitude refers to the height or intensity of a wave, while wavelength refers to the distance between two consecutive peaks or troughs of the wave. Therefore, amplitude and wavelength are not directly related, but amplitude can affect the energy carried by the wave, which can affect the propagation of the wave.
In order to determine the wavelength, both the frequency and the speed of the wave are required. The relationship between wavelength, frequency and speed is given by the equation:
wavelength (λ) = speed of wave (v) / frequency (f)
The values of speed of wave and frequency are not provided.
Therefore, the correct answers are as given above
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