Answer: When a switch is closed in a circuit that contains a battery and a wire that is placed between the poles of a magnet, an electric current will flow through the wire due to the electromagnetic induction. The movement of the wire in the magnetic field generates a voltage, known as the electromotive force (EMF), which causes the current to flow in the circuit. This phenomenon is known as electromagnetic induction, which is the basis of many electrical devices such as generators, transformers, and motors. The direction of the current flow depends on the direction of the wire movement and the orientation of the magnetic field.
Explanation:
The closure of a switch in a circuit that comprises a battery and a wire positioned amid the poles of a magnet results in the generation of an electric current through the wire.
While the current flows through the wire, it generates a magnetic field surrounding it. This magnetic field interacts with the magnetic field of the magnet, thereby causing the wire to move.
This occurrence is commonly referred to as the Lorentz force or motor effect. The direction in which the wire moves is dependent on the orientation of the magnetic field and the direction of the current.
If the current flows from the battery's positive terminal to its negative terminal, the wire will move in a specific direction. Conversely, if the current flows in the opposite direction, the wire will move in the opposite direction.
This principle serves as the foundation for electric motors, which leverage the motor effect to transform electrical energy into mechanical energy. The motion of the wire between the magnet's poles can be utilized to drive various devices such as fans, drills, and even electric cars.
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when an initially uncharged capacitor is charged in an rc circuit, what happens to the potential difference across the resistor?
Therefore, the potential difference across the resistor drops over time as the capacitor charges up. The time constant of the circuit (R x C) determines the rate at which the capacitor charges and the voltage drop across the resistor decreases. After several time constants, the capacitor is fully charged and the voltage drop across the resistor is zero.
When an initially uncharged capacitor is charged in an RC circuit, the potential difference across the resistor drops over time as the capacitor charges up. In an RC circuit, a capacitor (C) and a resistor (R) are connected in series with a power source (typically a battery).When the switch is first closed, the capacitor is initially uncharged, and there is no voltage drop across it. Instead, the voltage source drives current through the resistor, which drops the full voltage of the source. As the capacitor charges up, however, its voltage rises. As a result, the voltage drop across the resistor decreases over time and the voltage drop across the capacitor increases until it reaches the same voltage as the source. At this point, the capacitor is fully charged and no current flows through the circuit.Therefore, the potential difference across the resistor drops over time as the capacitor charges up. The time constant of the circuit (R x C) determines the rate at which the capacitor charges and the voltage drop across the resistor decreases. After several time constants, the capacitor is fully charged and the voltage drop across the resistor is zero.
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Moby lifted Tim off the ground a distance of 2 meters using a force of 2N. How much work did Moby do?
Answer:
4 J
Explanation:
As I guess,
From the equation,
work done = force × distance travelled
= 2 × 2
= 4 J
There are no conversions since all are given in the standard form.
Write the relation between mass and weight of a body
Answer:
\(\text{Weight} = \text{Mass} \times \text{Gravitational acceleration}\)
Explanation:
What is its speed after 3. 83 as if it accelerates uniformly at −3. 04 m/s 2 ? answer in units of m/s.
The velocity equation is \(v_{final} =v_{initial} +at\\\)
Known facts:
t = 3.83sa= -3.04intial velocity = 0Plug into equation known quantities:
\(v_{final} = (-3.04) * 3.83 = -11.6432m/s\)
Thus the final velocity is -11.6432m/s
Hope that helps!
pls help i’ll give brainliest if you give a correct answer!!
Answer:
Friction force is the correct answer.
Actually I'm wrong the person who has commented is correct
Calculate the % crystallinity of branched polyethylene with a density of 0.925 g/cm3
To calculate the percent crystallinity of branched polyethylene, you need to know its density. However, the density alone is not sufficient to determine the crystallinity.
Crystallinity is usually determined using techniques such as X-ray diffraction or differential scanning calorimetry. These techniques analyze the polymer's structure and thermal behavior to determine the percentage of crystalline regions.
If you have additional information, such as the degree of branching or molecular weight, please provide it so that I can assist you further. Crystallinity is usually determined using techniques such as X-ray diffraction or differential scanning calorimetry (DSC).
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A proton is located at x = 1.0 nm, y=0 nm and an electron is located at x=0 nm, y=4.0 nm. Find the attractive Coulombic force between them.
The attractive Coulombic force between the proton and electron is approximately 2.3 x 10^-8 N.
To calculate this force, we can use Coulomb's law: F = (kq1q2)/r^2, where F is the force, k is Coulomb's constant, q1 and q2 are the charges of the two particles, and r is the distance between them. Plugging in the values, we get F = (9x10^9 Nm^2/C^2)(1.6x10^-19 C)*(-1.6x10^-19 C)/(4x10^-18 m^2) = -2.3x10^-8 N. The negative sign indicates that the force is attractive.
In summary, the attractive Coulombic force between the proton and electron is -2.3 x 10^-8 N, which is found using Coulomb's law and the charges and distances given in the problem.
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the current in the circuit will approach a constant value ic after a long time (as t tends to infinity). what is ic ? express your answer in amperes.
The current I(r) at a time after 1*r equals the time constant r is roughly 0.065 A. About 0.105 A is the current I(3r) at a point three times the time constant after 3*r.
What is the circuit's current I?Electric current (I) flowing through a circuit directly relates to its potential difference (V). When the potential difference is 60 volts, the electric current is 1.5 amps.
The following equations can be used to calculate the current in the RL circuit based on the information provided:
An RL circuit's current is determined by:
I(t) = (V/R) * (1 - e(-t/r))
The following queries can be resolved using this equation:
Question 1:
What is the current I(r) after 1*r equals the time constant r?Add t = r to the equation as follows:
I(r) = (V/R) * (1 - e(-r/r))
I(r) = (V/R) * (1 - e(-1))
I(r) = (12.0/150) * (1 - e(-1))
I(r) ≈ 0.065 A
As a result, the current I(r) at a time after 1*r equals the time constant r is approximately 0.065 A.
Question 2:
What time is it now, I(3r), after 3*r, which is three times the time constant?
In the following equation, substitute t = 3r:
I(3r) = (V/R) * (1 - e(-3))
I(3r) = (12.0/150) * (1 - e(-3))
I(3r) ≈ 0.105 A
As a result, the current I(3r) at a time three times the time constant after 3*r is about 0.105 A.
Question 3:
After some time, the circuit's current will begin to approach a constant value, I. (as t tends to infinity). Who am I?
The exponential term e(-t/r) approaches 0 as t approaches infinity, and the current becomes:
I∞ = V/R
Substitute V = 12.0 V and R = 150 Ω into the equation:
I∞ = 12.0/150
I∞ = 0.08 A
As a result, after some time, the circuit's current will stabilize around 0.08 A.
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Question:
After the switch is closed, the current in the circuit grows over time approaching a constant value. In general, at time after a voltage source is connected to an RL circuit, the current I(t) in the circuit is given by the expression
1(t)=(1-e); where r = L/R
where & is the voltage provided by the battery, R is the resistance of the resistor, and r is the time constant characteristic of the circuit.
Growth of current in an RL circuit
Consider an R-L circuit as shown in the figure. The battery provides 12.0 V of voltage. The inductor has inductance L, and the resistor has resistance R = 150 . The switch is initially open as shown. At time r=0, the switch is closed. At time / after 0 the current /(1) flows through the circuit as indicated in the figure.
Question 1:
What is the current (r) at a time after 1-0 equal to time constant?
Question 2:
What is the current /(3r) at a time after 1-0 equal to three times the time constant?
Question 3:
The current in the circuit will approach a constant value / after a long time (as / tends to infinity). What is I.?
the the potential energy of a 0.15 kg pendulum is 10 j at the top of its swing, what is its kinetic energy at the bottom?
Because energy will be conserved, its kinetic energy will be equal to its potential energy at the top which is 10 J
Conservation of EnergyConservation of energy state that energy can not be destroyed nor created, but can only be transformed from one form to another. The mechanical energy of a swinging pendulum is always constant. The potential energy of the object convert to kinetic energy and vice versa.
Given that the potential energy of a 0.15 kg pendulum is 10 j at the top of its swing.
At the top, the maximum energy = P.E
At the bottom, the maximum energy = K.E
Since energy will always be conserved, its kinetic energy at the bottom will be equal to its potential energy at the top.
The given parameters are;
P.E = 10 JM = 0.15 KgThen, K.E = P.E = 10 J
Therefore, its kinetic energy at the bottom is 10 J
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A 50 kg swimmer goes off end of water slide at 10 m/s- what is swimmers momentum ?
Answer:
The swimmer's momentum is 500 Kg m/s.
Hope you could get an idea from here.
Doubt clarification - use comment section.
The ability of a metal to react with air and water is a
property.
O chemical, physical, respectively
O physical, chemical, respectively
o physical, physical, respectively
O chemical, chemical, respectively
\(\bold{{Answer}}\)
O physical, chemical, respectively
please buddy correct me if im wrong
The ability of a metal to react with air and water is a chemical, chemical, respectively property
What is a chemical change?A chemical change occur when the substance's composition is changed or when bonds are broken and new ones are forms a chemical change occur .
When a metal burn in air or react with air it form metal oxide and when metal react with water it forms oxides or hydroxides and release hydrogen gas . In both the cases change in composition is taking place . hence , bot are chemical reactions
correct answer is O chemical, chemical, respectively
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Calculate the refractive index for a substance where the angle of incidence is 300 , the angle of refraction is 600 , and the refractive index of second substance is 1.5
Answer:
η₁ = 2.6
Explanation:
Here, we will use snell's law to calculate the refractive of the substance:
\(\frac{\eta_2}{\eta_1} = \frac{Sin\theta_1}{Sin\theta_2}\)
where,
η₁ = refractive index of first substance = ?
η₂ = refractive index of second substance = 1.5
θ₁ = angle of incidence = 30°
θ₂ = angle of refraction = 60°
Therefore,
\(\frac{1.5}{\eta_1} = \frac{Sin\ 30^0}{Sin\ 60^0}\)
η₁ = 2.6
T/F : your camera’s zoom lens has an adjustable focal length ranging from 75 to 150 mm.
True. A zoom lens is a lens that has a variable focal length, which allows the photographer to zoom in or out by adjusting the lens.
The focal length of a lens is the distance between the lens and the camera’s image sensor when the lens is focused at infinity. A focal length of 75mm to 150mm would be considered a telephoto zoom lens, which is commonly used for portrait photography, sports, and wildlife photography. The longer the focal length, the narrower the angle of view, which means that the photographer can capture distant objects in greater detail. However, a longer focal length also means that the lens will be heavier and more expensive. It is important to note that not all zoom lenses have the same range of focal lengths, and some lenses may have a fixed focal length.
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10 m/s^2 is an example of which vocabulary word?
Answer:
Acceleration.
Explanation:
In physics, acceleration can be defined as the rate of change of the velocity of an object with respect to time.
This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time.
Hence, if we subtract the initial velocity from the final velocity and divide that by the time, we can calculate an object’s acceleration.
Mathematically, acceleration is given by the equation;
\(Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}\)
\(a = \frac{v - u}{t}\)
Where,
a is acceleration measured in \(ms^{-2}\)
v and u is final and initial velocity respectively, measured in \(ms^{-1}\)
t is time measured in seconds.
The S.I unit for measuring acceleration is meters per seconds square (m/s²).
Hence, 10 m/s^2 is an example of acceleration.
An automobile traveling initially at a speed of 60 m/s is accelerated uniformly to a speed of 85 m/s in 12 s. How far does the automobile travel during the 12 s interval?
Answer:
870 m
Explanation:
d = Vit + 1/2at²
a = ΔV/Δt = (85 m/s - 60 m/s) / (12 s) = (25 m/s) / 12 s = 2.08 m/s²
d = (60 m/s)(12 s) + 1/2 (2.08 m/s²)(12 s)² = 870 m
Answer:
The automobile traveled 870 meters during the 12 second interval.
Explanation:
We can use this kinematics equation to evaluate how far the automobile traveled.
\(\overline v=\frac{\Delta x}{\Delta t}\)
Note
\(\overline v\) is the average velocity
\(\Delta x\) is the change in position (displacement)
\(\Delta t\) is the change in time (time interval)
The formula for average velocity is
\(\overline v=\frac{V_f-V_o}{2}\)
We are given
\(V_f=85\\V_o=60\\\Delta t=12\)
First lets evaluate the average velocity.
\(\overline v=\frac{85-60}{2}\)
\(\overline v=72.5\)
Rearranging our kinematics equation to isolate \(\Delta x\) we get
\(\Delta x=\overline v \Delta t\)
Now lets evaluate \(\Delta x\).
\(\Delta x=72.5*12\\\Delta x=870\)
There are many different ways you can solve this; I could have used a different equation.
Three pairs of balls are connected by very light rods as shown inthe figure. Rank in order, from smallest to largest, the moments ofinertia I1,I2 ,and I3 about axes through the centers of therods
The moments of inertia are ranked as follows, from smallest to largest: I1 < I2 (for both pairs of balls connected by the long rods) < I3 (for both pairs of balls connected by the middle rod).
To rank the moments of inertia of the three pairs of balls, we need to consider the distribution of mass around the axes passing through the centers of the rods.
For I1, we can consider the pair of balls at the ends of the rod to be point masses, with all of their mass located at their centers. The moment of inertia of this pair of balls about the axis through the center of the rod can be calculated as \(I1 = 2mr^2\), where m is the mass of each ball and r is the distance from the axis to the center of each ball.
Since the masses are equal and the distance from the axis to the center of each ball is the same, I1 is the same for both pairs of balls connected by the rod.
For I2, we need to consider the distribution of mass along the rod. Since the rod is very light, we can assume that all of the mass is located at the center of the rod. The moment of inertia of the rod about the axis passing through its center is \(I2 = (1/12)ML^2\), where M is the mass of the rod and L is its length.
Since the masses and lengths of the two rods are the same, I2 is the same for both pairs of balls connected by the rods.
For I3, we need to consider the distribution of mass around the axis passing through the center of the rod that connects the two pairs of balls.
Since the masses of the balls are not located at a fixed distance from this axis, we need to use the parallel axis theorem to calculate I3.
The parallel axis theorem states that the moment of inertia of an object about any axis parallel to its center of mass axis is given by\(I3 = Icm + Md^2,\) where Icm is the moment of inertia of the object about its center of mass axis, M is the mass of the object, and d is the distance between the two axes.
For each pair of balls, the moment of inertia about the axis passing through its center of mass axis can be calculated as\(Icm = 2mr^{2}/5,}\)where r is the distance between the two balls.
The distance between the two axes is the length of the rod connecting the two pairs of balls, which is the same for both pairs. Therefore, I3 is the same for both pairs of balls connected by the rod.
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The velocity as a function of time of a moving particle is given by v = α+ βt2 , where α and β are constants and t is time in s. What is the acceleration of the particle at 3 s?
The acceleration of the particle at 3s is [tex]a = 6 \beta \)
\(v = \alpha + \beta {t}^{2} \)
How to calculate acceleration\(a = \frac{dv}{dt} \\ v = \alpha + \beta {t}^{2} \\ \frac{dv}{dt} = 0 + 2 \beta t \\ \)
if Time is given as 3s
therefore, Acceleration is
\(a = 2 \beta t \\ a = 2 \beta 3 \\ a = 2 \times \beta \times 3 \\ a = 6 \beta \)
Acceleration is
\(a = 6 \beta \)
What is acceleration and velocity?This is the change in velocity with respect to time.
Velocity is a vector quantity that denotes the rate of change of position with respect to time, or a speed with the directional component.
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Order these sounds from loudest (1) to softest (4). airplane: whisper: crowd at sporting event: rainfall:
Answer:
The arrangement of the following from loudest to softest include:
crowd at sporting event
airplane
rainfall
whisper
Explanation:
When it comes to the arrangements, the pitch of the noise which emerge is what was considered. For example, crowd at sporting event has the highest pitch especially during football matches followed by the airplane sounds during its take-off and landing in the airports. As for whisper, it happens to be the one with softest sound.
Answer:
Airplane. 1
Whisper. 4
Crowd at sporting event. 2
Rainfall. 3
Explanation:
hope this helps
the purpose of many scientific investigations is to test a {n}
Answer:
Scientific investigation is a quest to find the answer to a question using the scientific method.
Explanation:
the scientific method is a systematic process that involves using measurable observations to formulate, test or modify a hypothesis.
learning goal: to understand the cause of constructive and destructive interference for the double-slit experiment, and to explain how the interference pattern depends on the parameters of the emitted waves. for this tutorial, use the phet simulation wave interference. this simulation allows you to send waves through a variety of barriers and look at the resulting interference patterns. click to launch simulation start the simulation. you will see three possible selections: waves, interference, and slits. to change between simulations at any point, select the desired simulation on the toolbar located at the bottom of the screen. in these simulations you can choose between water waves, sound waves, or light. you can adjust the slit width and slit separation using slider bars, and you can put a barrier containing one or two slits in front of the source of the waves. there are also several measuring tools at the upper-right hand corner of the screen, including a detector that produces plots showing the wave amplitude vs. time for the location of the two sensors on the detector, which can be dragged to any location. feel free to experiment with all of the simulations to get a feel for how they work. when you are done, and before starting part a, set the simulation to waves, and select the reset icon.
The PhET simulation "Wave Interference" allows for the exploration of interference patterns for water waves, sound waves, and light waves. Users can adjust slit width and separation, and observe the resulting interference patterns.
The double-slit experiment demonstrates the phenomenon of interference, which occurs when waves from two sources overlap. In the simulation, the user can adjust the slit width and separation to observe how these parameters affect the interference pattern. When the slit separation is small, the interference pattern shows closely spaced bright and dark fringes, indicating constructive and destructive interference. As the slit separation is increased, the interference pattern becomes less distinct.
The simulation also allows users to explore how the interference pattern depends on the wavelength of the emitted waves. For example, when using light waves, the interference pattern is most pronounced when the slit separation is comparable to the wavelength of the light. Additionally, the simulation allows for the exploration of interference patterns for waves passing through multiple slits or barriers. Overall, the PhET simulation "Wave Interference" provides a useful tool for understanding the phenomenon of interference and how it depends on various parameters.
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20 points + Brainliest. Please help!
Which process represents a charge from disorder to order?
A. The free expansion of a gas into a vacuum
B. The condensing of a gas to a liquid
C. The melting of an ice cube in warm water
D. The flow of heat from the interior of a refrigerator to the exterior.
Answer:
C. the melting of an ice cube in warm water
Answer: d,a,b,c
i think i dont know if u asked for this answr. but i hope this helped
Explanation:
The _____ occurs when some of the energy in the convective motion of gas is converted into magnetic field energy
The dynamo effect occurs when some of the energy in the convective motion of gas is converted into magnetic field energy.
What is dynamo effect?The dynamo hypothesis in physics suggests a method through which a celestial body, such the Earth or a star, produces a magnetic field. A revolving, convecting, and electrically conducting fluid may sustain a magnetic field across astronomical time scales according to the dynamo hypothesis.
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When does hurricane season peak in the Atlantic Ocean?
Answer: 1 June to 30 November
Answer: Usually the Atlantic hurricane season usually peaks through August to September and usually stopping to peak during October and November and ending on November 30th but you can still get tropical cyclones in the December but it's extremely rare.
Explanation:
This is because the waters are most warm as during August and September making the environment favorable for tropical development
The amplitude of pulse A is 20cm and that of pulse B is 10 Cm what is the maximum of the resultant pulse
Answer:
The maximum amplitude of the resultant pulse would be 30 cm.
Explanation:
The maximum amplitude of the resultant pulse would be 30 cm.
The maximum amplitude of the resultant pulse would be the sum of the amplitudes of pulse A and pulse B, which is
20 cm + 10 cm = 30 cm.
This is because the maximum amplitude of the resultant pulse would occur when the two pulses are in phase, meaning they are both at their highest point at the same time.
When the two pulses are out of phase, their amplitudes will cancel each other out to some degree, resulting in a lower overall amplitude.
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If the amplitude of pulse A is 20cm and that of pulse B is 10 cm, the maximum of the resultant pulse is 30 cm.
What is amplitude?
A sound wave's amplitude measures the height of the wave. When a sound is made, the maximum displacement of the medium's vibrating particles from their mean position determines the amplitude of the sound wave. It is the separation between the wave's crest or trough and its mean location.
The phenomenon of constructive interference occurs when two waves superimpose on each other in the same phase, with the resultant wave's amplitude being equal to the sum of the separate waves' amplitudes and producing the maximum amount of light.
The amplitude of pulse A is 20cm.
The amplitude of pulse B is 10cm.
Hence, the maximum of the resultant pulse is = (20 cm + 10 cm) = 30 cm.
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What is the kinetic energy of a
54 kg person, diving into a pool
at a speed of 30 m/s?
Answer:
Explanation:
Formula
KE = 1/2 m v^3
Givens
m = 54 kg
v = 30 m/s
Solution
KE = 1/2 54 * 30^2
KE = 1/2 54 * 900
KE = 27 * 900
KE = 24300 Joules
A material has the following properties: S_ut = 350 MPa and n = 0.20. Calculate its strength coefficient, K.
The strength coefficient (K) of the material is 875 MPa. The strength coefficient, K, can be calculated using the following equation:K = S_ut / (ε_f)^(n)Where:S_ut is the tensile strength of the material.ε_f is the strain at fracture.n is the strain-hardening exponent of the material.
The strength coefficient, K, can be calculated using the following equation:K = S_ut / (ε_f)^(n)Where:S_ut is the tensile strength of the material.ε_f is the strain at fracture.n is the strain-hardening exponent of the material.The given values are:S_ut = 350 MPan = 0.20To calculate K, we need to find ε_f. However, we do not have any information about ε_f. Therefore, we cannot calculate K. Thus, the answer is: K cannot be calculated using the given information.
To calculate the strength coefficient (K) of the material, we can use the following formula:
K = S_ut / (2 * n)
where S_ut is the ultimate tensile strength (350 MPa) and n is the strain-hardening exponent (0.20).
K = 350 MPa / (2 * 0.20)
K = 350 MPa / 0.40
K = 875 MPa
The strength coefficient (K) of the material is 875 MPa.
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The problem requires finding the drain current (ID) in an n-channel MOSFET with given parameters: tox-9 nm, eo-0.7 V, W/L-10, and n-500 cm^2/Vs.
The drain current can be calculated using the equation ID = (nμCox/2)(W/L)(VGs - Vt)^2(1 + λVDs), where VGs is the gate-to-source voltage, VDs is the drain-to-source voltage, Vt is the threshold voltage, λ is the channel-length modulation parameter, and Cox is the oxide capacitance per unit area. Using the given values and the equation, the drain current is calculated for each case. In case (c), the drain voltage is lower than the threshold voltage, so the drain current is zero.
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As the number of resistors in a parallel circuit is increased, what happens to the
equivalent resistance of the circuit and total current in the circuit?
Answer:
resistance- decreases current-increases
what are the frequency wavelength and amplitude of a wave
(a)The amplitude of a wave is the maximum displacement of the wave from its equilibrium position
(b)The wavelength of a wave is the distance between two consecutive points on a wave that are in phase
(c)The frequency of a wave is the number of complete waves that pass a given point in one second.
The frequency, wavelength and amplitude of a wave are the following:
The amplitude of a wave is the maximum displacement of the wave from its equilibrium position, or the distance from the top of a crest to the bottom of a trough. This is represented by "a" in the equation y = a sin (ωt + φ).
The wavelength of a wave is the distance between two consecutive points on a wave that are in phase, i.e. the distance from one crest to the next crest or one trough to the next trough. This is represented by "λ" in the equation y = a sin (ωt + φ).
The frequency of a wave is the number of complete waves that pass a given point in one second. It is measured in hertz (Hz) or cycles per second. It is represented by "f" in the equation y = a sin (ωt + φ).
The relationship between frequency, wavelength, and speed is given by the equation c = fλ, where c is the speed of the wave. In a vacuum, the speed of light is approximately 300,000,000 m/s, so the frequency and wavelength of a wave are inversely proportional. For example, if the frequency of a wave is 150 Hz, its wavelength is 2,000,000 m (or 2 km) (c = fλ => λ = c/f = 300,000,000/150 = 2,000,000).
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HURRY!!!!
Fred and Ted are racing cars down a frictionless track with a jump at the bottom
when suddenly an argument breaks out. Fred says, “If we release the cars from a
point twice as high as we are currently doing so, the cars will have twice the
gravitational potential energy, and therefore be travelling twice fast when they hit
the jump." Ted says, “In order to double the speed of the cars when they hit the
ramp, I think we will have to more than double the height!" Who is right? Prove it!
Answer:
Ted is correct
Explanation:
The equation for gravitational potential energy is PE = m·g·h
The equation for gravitational kinetic energy is KE = 1/2·m·v²
Where:
m = Mass of the object (The racing car)
g = Acceleration due to gravity
h = The height to which the object is raised
v = Velocity of motion of the object
From the principle of conservation of energy, energy can neither be created nor destroyed but changes from one form to another, we have;
Potential energy gained from location at height h = Kinetic energy gained as the object moves down the level ground
m·g·h = 1/2·m·v² canceling like terms gives
g·h = 1/2·v²
v = (√2·g·h)
If the speed is doubled, we have
2·v = 2× (√2·g·h) = (√2·g·4·h)
Therefore, if 2·v = v₂ then v₂ = (√2·g·4·h)
Since g, the acceleration due to gravity, is constant, it means that the initial height must be multiplied or increased 4 times to get the new height, that is we have;
v₂ = (√2·g·4·h) = (√2·g·h₂)
Where:
4·h = h₂
Which gives;
v₂² = 2·g·h₂
1/2·v₂² = g·h₂
1/2·m·v₂² = m·g·h₂ Just like in the first relation
Therefore, Ted is correct s they need to go up four times the initial height to double the speed.
(a) What value of ni is associated with the 94.96-nm spectral line in the Lyman series of hydrogen? (b) What If? Could this wavelength be associated with the Paschen series? (c) Could this wavelength be associated with the Balmer series?
(a) The value of ni associated with the 94.96-nm spectral line in the Lyman series of hydrogen can be determined using the Rydberg formula:
1/λ = R(1/nf^2 - 1/ni^2)
Where λ is the wavelength of the spectral line, R is the Rydberg constant, nf is the final energy level, and ni is the initial energy level. Solving for ni, we get:
ni = sqrt((1/nf^2 - 1/(λR))^(-1))
Plugging in the values for λ and nf (nf = 1 for the Lyman series), and using the known value of R for hydrogen, we get:
ni = 6
Therefore, the spectral line at 94.96 nm in the Lyman series of hydrogen corresponds to a transition from the 7th energy level (ni = 6) to the ground state (nf = 1).
(b) No, this wavelength cannot be associated with the Paschen series of hydrogen. The Paschen series corresponds to transitions between energy levels where nf = 3 and higher, whereas the Lyman series corresponds to transitions where nf = 1.
(c) No, this wavelength cannot be associated with the Balmer series of hydrogen either. The Balmer series corresponds to transitions between energy levels where nf = 2 and higher, whereas the Lyman series corresponds to transitions where nf = 1.
learn more about wavelength here:brainly.com/question/31143857
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