y what factor do you need to change the box length to decrease the zero point energy by a factor of 39 for a fixed value of m ?
Answers
The factor that needs to be changed to decrease the zero-point energy by a factor of 39 for a fixed value of m is the length of the box.
The zero-point energy (ZPE) refers to the minimum energy that a system can possess. It is also known as the ground-state energy. For a particle in a one-dimensional box, the ZPE is given by the following equation:
ZPE = (h²/8mL²)
where h is the Planck's constant, m is the mass of the particle, and L is the length of the box.
To decrease the ZPE by a factor of 39 for a fixed value of m, we need to increase the length of the box. This is because the ZPE is inversely proportional to the square of the length of the box. Therefore, if we increase the length of the box by a factor of 6.245, the ZPE will decrease by a factor of 39. This can be mathematically represented as follows:
ZPE' = (h²/8m(L/6.245)²)ZPE'/ZPE = (L/L')² = 39L/L' = √39L' = L/6.245
Thus, the length of the box needs to be increased by a factor of 6.245 to decrease the zero-point energy by a factor of 39 for a fixed value of m.
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Related Questions
ou hold a picture motionless against a wall by pressing on it, as shown in the figure.You hold a picture motionless against a wall by pressing on it. draw a free body diagram.
Answers
The picture of free body diagram drawn below:
What is free body diagram?A free-body diagram (FBD; sometimes known as a force diagram) is a graphical representation used in physics and engineering to illustrate the applied forces, moments, and consequent reactions on a body under a particular state.
The object of interest, the forces acting on it, and the resolution of each force vector into its x- and y-components are all shown in a free-body diagram. Each item in the issue requires a distinct free-body diagram.
Forces are depicted as arrows heading away from the object, which is depicted as a dot. Occasionally known as force diagrams.
The picture of free body diagram drawn below:
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The complete question is as follows:
Planets rich in low-density gases such as hydrogen and helium are found in the Solar System, while planets composed of rock and metal are found in the _______ Solar System.
Answers
Planets composed of rock and metal are found in the Terrestrial Solar System.
The Solar System is divided into two main types of planets based on their composition and characteristics: the Terrestrial Planets and the Jovian (or Gas Giant) Planets.
The Terrestrial Planets are located closer to the Sun and are characterized by their rocky and metallic compositions. These planets include Mercury, Venus, Earth, and Mars.
They have relatively high densities and solid surfaces. Their atmospheres, if present, are much thinner compared to the gas giants.
On the other hand, the Jovian Planets, also known as Gas Giants, are located farther from the Sun. These planets, namely Jupiter and Saturn, as well as the ice giants Uranus and Neptune, are composed primarily of hydrogen and helium gases.
They have low densities compared to the Terrestrial Planets and are characterized by thick atmospheres predominantly composed of hydrogen and helium.
Therefore, planets rich in low-density gases are found in the Jovian or Gas Giant part of the Solar System, while planets composed of rock and metal are found in the Terrestrial Solar System.
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Calculate the energy difference for a transition in the Paschen series for a transition from the higher energy shell n=4.
Answers
The energy difference for a transition in the Paschen series from the higher energy shell n = 4 is approximately -0.66 eV.
In the hydrogen atom, the energy levels of electrons are quantized, meaning they can only exist in certain discrete energy levels. The Paschen series refers to the transitions of electrons between these energy levels.
The energy difference for a transition in the Paschen series can be calculated using the formula:
ΔE = E_final - E_initial
For a transition from the higher energy shell n = 4, the initial energy level is E_initial = -13.6 eV/n^2 = -13.6 eV/4^2 = -0.85 eV. Here, -13.6 eV is the ionization energy of hydrogen and n^2 represents the energy level.
To calculate the final energy level, we need to identify which energy level the electron is transitioning to in the Paschen series. The Paschen series corresponds to electron transitions to the n = 3 energy level.
Therefore, the final energy level is E_final = -13.6 eV/n^2 = -13.6 eV/3^2 = -1.51 eV.
Now we can calculate the energy difference:
ΔE = E_final - E_initial = -1.51 eV - (-0.85 eV) = -0.66 eV.
Hence, the energy difference for a transition in the Paschen series from the higher energy shell n = 4 is approximately -0.66 eV. This represents the energy change associated with the electron moving from the higher energy level to the lower energy level.
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A plane is traveling at a velocity of 40 m/s. It accelerates at a constant rate of 0.35 m/s2 until its velocity reaches 70 m/s. What distance did the plane cover while it was accelerating?
Answers
Answer:
I don't Know But You mark me as Brainliest..
Explanation:
ننيهننينننءميمنقنتتيتIt's me Dubai prince Fazza..
Welcome to Dubai 2020 Expo
Grand Welcome to V I p .
With what speed must a ball be thrown down for it to bounce 10m higher than its original level ? Neglect any loss of energy in striking the ground
Answers
The ball must be thrown down with a velocity of 14 meters per second in order to bounce 10 meters higher than its original level, neglecting any energy losses in striking the ground.
To determine the speed at which a ball must be thrown down to bounce 10 meters higher than its original level, we can use the principle of conservation of energy. Neglecting energy losses due to air resistance and assuming an idealized situation, we can equate the potential energy gained during the bounce to the kinetic energy of the ball before it hits the ground.
The potential energy gained by the ball during the bounce is equal to the gravitational potential energy at the new height, which can be calculated as mgh.
where
m = mass of the ball,
g = acceleration due to gravity (approximately 9.8 m/s²)
h = height gained (10 meters in this case).
The kinetic energy of the ball just before it hits the ground is given by (1/2)mv²,
where
v = velocity of the ball.
Equating these two energies, we have:
mgh = (1/2)mv²
Canceling out the mass (m) from both sides of the equation, we get:
gh = (1/2)v²
Simplifying further, we have:
v = √(2gh)
Substituting the values of g (9.8 m/s²) and h (10 meters), we can calculate the velocity (v):
v = √(2 * 9.8 * 10) ≈ √(196) ≈ 14 m/s
Therefore, the ball must be thrown down with a velocity of approximately 14 meters per second in order to bounce 10 meters higher than its original level, neglecting any energy losses in striking the ground.
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Rodrigo was working really hard to make the track team and he finally made it. However, he is not one of the strongest runners and is becoming
rather discouraged because some of the other kids are obviously better athletes than he is: What does this example BEST illustrate?
A. why extrinsic motivation often fails.
B. why valuing exercise and health is not enough.
C. why joining a team is often really discouraging.
D. why there should be an interview when joining a team.
Answers
The answer of the following statement is (C) why joining a team is often really discouraging.
What is team?
Team refers to a group of two or more people who work together to achieve a common goal. A team usually consists of individuals with different skills and abilities who collaborate to complete a task or project. Teams are important in a variety of situations, including work, school, sports, and social activities. A successful team is one in which members are committed to the same goal, trust and respect one another, and are willing to take risks and learn from mistakes. Teams are most effective when members are open to constructive criticism, provide feedback, and are willing to put in the time and effort necessary to achieve their goals.
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A bicyclist heads east at 20 km/h. After she has traveled 20.8 kilometers, another cyclist sets out in the same direction going 28 km/h. About how long will it take the second cyclist to catch up to the first cyclist
Answers
Hence,the time it takes the second cyclist to catch up to the first cyclist will be 2.6 h.
What is velocity?The change of displacement with respect to time is defined as the velocity. Velocity is a vector quantity. it is a time-based component.
\(\rm D_{rel}= V_{rel}\times t_{rel} \\\\ \rm D_{rel}= (V_1-V_2)\times t_{rel} \\\\ T_{rel}=\frac{D_{rel}}{V_1-V_2} \\\\ T_{rel}=\frac{20.8}{28-20} \\\\ T_{rel}= 2.6 \ h\)
The time it takes the second cyclist to catch up to the first cyclist will be 2.6 h.
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ranscribed image text:
15. A car's brakes can give it an acceleration of −7.5 m/s2. How far will it travel when stopping from 55 m/s ? How far if it stops from 110 m/s ?
Answers
The car will travel 847.33 m when stopping from a velocity of 110 m/s.
The negative acceleration of the car’s brakes is -7.5 m/s².
To find the distance the car will travel when stopping from a velocity of 55 m/s, we can use the following equation;`vf^2 - vi^2 = 2ad`
Where `vf = 0` since the car stops, `vi = 55 m/s`, `a = -7.5 m/s²`, and `d` is the distance we want to find.
We can rearrange the equation to solve for `d`:`d = (vf^2 - vi^2) / 2a`
Substituting the given values in the equation above gives:`d = (0 - (55 m/s)^2) / (2 x (-7.5 m/s²))`
Simplifying:`d = 203.33 m`
Therefore, the car will travel 203.33 m when stopping from a velocity of 55 m/s.
To find the distance the car will travel when stopping from a velocity of 110 m/s, we use the same equation:`d = (vf^2 - vi^2) / 2a`
Where `vf = 0` since the car stops, `vi = 110 m/s`, `a = -7.5 m/s²`, and `d` is the distance we want to find.
Substituting the given values in the equation above gives:`d = (0 - (110 m/s)^2) / (2 x (-7.5 m/s²))`
Simplifying:`d = 847.33 m`
Therefore, the car will travel 847.33 m when stopping from a velocity of 110 m/s.
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The diagram below shows the muzzle of a cannon located 50. meters above the ground. When the cannon is fired, a ball leaves the muzzle with an initial horizontal speed of 250. meters per second. [Neglect air resistance.]Which action would most likely increase the time of flight of a ball fired by the cannon?
Answers
Answer:positioning the cannon higher above the ground
Explanation:
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A planoconvex lucite lens 4.2 cm in diameter is Part A placed on a flat piece of glass as in the figure 34-18 in the textbook. When 580−nm light is incident What is the radius of curvature of the lens surface? normally, 42 bright rings are observed, the last one right at the edge. Express your answer using two significant figures. Part B What is the focal length of the lens? Express your answer using two significant figures.
Answers
Part A: The radius of curvature of the lens surface is approximately 3.17 m. Part B: The focal length of the lens is approximately 1.59 m.
How to find radius and length?Part A:
To find the radius of curvature of the lens surface, use the formula for the radius of the nth bright ring in a planoconvex lens:
r = √(n × λ × f),
where r = radius of the nth bright ring, λ = wavelength of light, and f = focal length of the lens.
In this case, n = 42 (since the last bright ring is observed at the edge), λ = 580 nm (converted to meters, so λ = 580 × 10⁻⁹ m).
Rearranging the formula, solve for f:
f = r² / (n × λ).
Plugging in the values:
f = (0.021 m²) / (42 × 580 × 10⁻⁹ m).
Calculating this expression gives:
f = 3.17 m.
Therefore, the radius of curvature of the lens surface is approximately 3.17 m.
Part B:
The focal length of the lens can be determined using the formula:
f = R / 2,
where R = radius of curvature.
Plugging in the value for the radius of curvature obtained in Part A:
f = 3.17 m / 2.
Calculating this expression gives:
f = 1.59 m.
Therefore, the focal length of the lens is approximately 1.59 m.
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Science Why did trilobites go extinct and why are index fossil so important
Answers
Explanation:
Because they evolved rapidly, and moulted like other arthropods,trilobites serve as excellent index fossils, enabling geologists to date the age of the rock in which they are found
What is the strength of the magnetic field at point P in the figure?(Figure 1) Assume that I = 5. 6A , r1 =1. 4cm , and r2 = 2. 8cm.
Express your answer to two significant figures and include the appropriate units.
B= ?
Answers
To calculate the strength of the magnetic field at point P in the given figure, we can use Ampere's Law. Ampere's Law states that the line integral of the magnetic field around a closed loop is equal to the product of the permeability of free space (μ₀) and the current enclosed by the loop.
In this case, the loop can be chosen as a circle centered at point P with a radius equal to r2. The current enclosed by the loop is I.
Using Ampere's Law, we have:
∮ B · dl = μ₀ * I_enclosed
Since the magnetic field is assumed to be constant along the circular path, we can simplify the equation to:
B * 2πr2 = μ₀ * I
Solving for B, we get:
B = (μ₀ * I) / (2πr2)
Plugging in the given values:
B = (4π × 10^-7 T·m/A) * (5.6 A) / (2π × 0.028 m)
B ≈ 0.04 T
Therefore, the strength of the magnetic field at point P is approximately 0.04 Tesla.
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Problem 2 1. Calculate ε x
,ε γ
and γ xy
at the centers of solder balls 4 through 9 (see slide 2 ). While calculating displacement from Moiré fringes, use N x
p=N y
=50 nm/ fringe. 2. Plot strains vs. distance from neutral axis. 3. Find number of cycles to failure using Coffin-Manson equation
Answers
We requires specific information about the dimensions, material properties, and applied loads. With this information, strain components can be calculated, strains can be plotted against distance, and the number of cycles to failure can be determined using the Coffin-Manson equation.
To accurately address Problem 2, specific details and data are required, such as the relevant dimensions, material properties, and any applied loads or conditions. Without this information, it is challenging to provide a detailed solution. However, I can offer a general explanation of the concepts mentioned in the problem.
Calculating εx, εγ, and γxy: Strain components εx, εγ, and γxy depend on the specific deformation and loading conditions. These strains can be determined through experimental measurements, finite element analysis, or analytical calculations based on the deformation characteristics of the solder balls and the applied loads. The Moiré fringes can provide valuable information for measuring displacements, which can be used to determine strains.
Plotting strains vs. distance from the neutral axis: Once the strains are calculated, they can be plotted against the distance from the neutral axis. This plot provides valuable insights into the distribution of strains within the solder balls and helps identify regions of high strain or stress concentration.
Determining the number of cycles to failure using Coffin-Manson equation: The Coffin-Manson equation relates the number of cycles to failure (Nf) to the plastic strain amplitude (εp) experienced by the material. It is typically used for fatigue analysis. However, to utilize the Coffin-Manson equation, information such as the material's fatigue properties (e.g., fatigue strength coefficient and exponent) and the actual strain amplitudes experienced by the solder balls must be known.
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How long will it take a horse to go from rest to 19 km/hr if it is accelerating at 5
km/hr 2 ?
Answers
Answer:
I attached a PFD with the answer to your question and roughly 50 others involving acceleration and how to calculate it. This PDF gives you the answers to all the question whilst showing you an in-depth explanation on how they got the answer. Hopefully that helps
Explanation:
May I have brainliest please? :)
Which box will not accelerate?
Answers
Answer:
b
Explanation:
i know
Answer:
b one will not accelerate
A proton of mass 1.67
Answers
The Earth has a mass of close to 6.0 • 1024 kilograms, and the Moon has a mass of 7.4 • 1022 kg. The center of the Earth is 385,000 kilometers from the center of the Moon. How far from the center of the Earth is the center of mass of the Earth-Moon system?
Answers
The center of mass of the Earth-Moon system is approximately 378,366 kilometers from the center of the Earth.
To find the center of mass of the Earth-Moon system, we need to consider the Earth's mass, the Moon's mass, and the distance between their centers.
The Earth has a mass of 6.0 x 10^24 kg, and the Moon has a mass of 7.4 x 10^22 kg. The distance between the centers of the Earth and the Moon is 385,000 km.
The formula for the center of mass (CM) is:
CM = (m1 * r1 + m2 * r2) / (m1 + m2)
where m1 and m2 are the masses of the Earth and Moon, respectively, and r1 and r2 are their respective distances from the center of mass.
We can assume that r1 is the distance from the center of the Earth to the center of mass, and r2 is the distance from the center of the Moon to the center of mass. Since r1 + r2 = 385,000 km, we can rewrite r2 as (385,000 km - r1).
Now, we can substitute the given values and solve for r1:
CM = [(6.0 x 10^24 kg) * r1 + (7.4 x 10^22 kg) * (385,000 km - r1)] / [(6.0 x 10^24 kg) + (7.4 x 10^22 kg)]
After solving for r1, we get:
r1 ≈ 378,366 km
So, the center of mass of the Earth-Moon system is approximately 378,366 kilometers from the center of the Earth.
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A particle is accelerated uniformly from rest, so that after 10 seconds it has achieved a speed of 15 m/s. Find its acceleration.
Answers
Answer:
1.5 m/s²
Explanation:
Applying,
a = (v-u)/t ...................... Equation 1
Where a = acceleration of the particle, v = final velocity of the particle, u = Initial velocity of the particle, t = time.
From the question,
Given: u = 0 m/s (From rest), v = 15 m/s, t = 10 seconds
Substitute these values into equation 1
a = (15-0)/10
a = 15/10
a = 1.5 m/s²
In a closed system of a cannon and cannonball, which changes would both result in an increase in the kinetic energy of the cannonball when fired from the cannon?
Answers
Answer:
the length of the cannon
the power of the gunpowder
Answer:
i would say B decrease mass of cannon or decrease mass of cannon ball
Explanation:
because when you fire the cannon the cannon ball and powder exit the cannon then that leaves the cannon ball and i would say that the explosion would force it out the cannon but would not increase its mass.
Which of the following people used the orbit of the moon to develop a law of Universal gravitation?
A. Aristarchus
B. Aristotle
C. Copernicus
D. Eratosthenes
E. Galileo
F. Kepler
G. Newton
H. Ptolemy
I. Tycho
Answers
Which is not a cue for the forearm pass (or bump)?
Make a flat platform with your arms
Lock elbows
Swing at the ball
Contact ball with both arms at the same time
Answers
The statement that is not a cue for a forearm pass would be to swing at the ball. That is option C.
What is forearm pass in volleyball?Volleyball is a type of outdoor games that is made up of six players against an opposing team.
There are different types of skills found in the game of volleyball that include the following:
Serving, Passing (forearm underhand passing), Setting (overhead passing), Attack options (hitting/spiking), Blocking (from attack and defend positions), and Defensive skills (rolling & sliding).The forearm passing is a type of skill that involves positioning that clasping both hands together,one palm inside the other, and then pointing both thumbs to the ground.
This will enable you pass the ball to your fellow player or shoot the ball across the net to your opponent's side.
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A 0.70kW vacuum cleaner is used for 20 minutes. How much energy does it use? Give your answer in
kWh to two decimal places.
Answers
20 minutes = 20/60 = 0.33 hr
0.7 kw * 0.33 hr = 0.231 kWh = 0.23 kWh
Plz mark as Brill
Energy used will be 0.23 kWh
What is Energy ?Energy is the capacity of a physical system to do work . The standard unit of energy is Joule(J).
Energy = power * time
Given :
power = 0.70 kW
time = 20 minutes = 20 / 60 hour
Energy = ?
Energy = 0.70 * (20/60)
= 0.23 kWh
Energy used will be 0.23 kWh
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HURRY PLEASE?!?!????
What factors affect the speed of a wave? Check all that apply.
the amplitude of the wave
the energy of the wave
the temperature of the medium
the type of wave
the type of medium
Answers
Explanation:
wave is a disturbance that carries energy from one particle to another particle. The speed depends on:
1. The type of medium
2. The temperature of the medium
3. The energy of the wave
4. The amplitude of the wave
Answer:
i think the last 3
Explanation:
Which types of interactions are negligible at standard temperature and pressure?
Answers
Explanation: a reduction in genetic diversity and discomfort for animals that have very exaggerated characteristics.
Tear–free shampoos are advertised as having a pH similar to that of human tears. What pH would you expect tear–free shampoos to be?
Answers
Answer: 7
Explanation:
The pH of water, a neutral substance, is 7. Human tears are a saline composed mostly of water. Therefore, it stands to reason that a tear-free shampoo would have a similar pH close to 7.
Answer:
the pH level would be 7
Explanation:
A toy car is allowed to travel down a ramp. The car travels 1.8 m is 4
seconds. What is the speed of the car?*
Answers
Answer:
0.45m/s
Explanation:
Given parameters:
Distance = 1.8m
Time = 4s
Unknown:
Speed of the car = ?
Solution:
The speed of a body is the distance divided by the time.
Speed = \(\frac{distance}{time}\)
So;
Speed = \(\frac{1.8}{4}\) = 0.45m/s
Which of these requirements must be met by two physical quantities when they are added together?
They must have different units when expressed in base units.
They must both have units of kilograms, meters, or seconds.
They must have the same units when expressed in base units.
They must have been given to you in the same units, such inches or centimeters.
Answers
Answer:
They must have the same units when expressed in base units
Explanation:
Too add any two values together you need them to be in the same units. but You can convert diffrent units of the same messure to each other in order to achive this; ie you can add meeters to feet if you multiply the meters by 3.28 but you can't add mass and length together.
With the concept of pattern we find that the answer for the sum of physical magnitudes is:
They must have the same units when expressed in base units.
To add two phsical quantities to meet some requirements:
* Must be of the same type
* Must be in the same base units
That they have the same type implies that we cannot add length with time or masses, length or speeds must be added with their pairs
The use of the same base unit guarantees that we use the same pattern, or that we must reduce the magnitudes to the same pattern, for example: we cannot add meters with inches directly, we must reduce inches to meters, which is the unit of the international system.
International System it guarantees the existence of common and reproducible patterns for all physical quantities.
Add two phsical quantities, the correct answer is:
must have the same units in base units
In conclusion, the measurement system and units allows adding magnitude of the same type with the same units of a base unit or standard.
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7. A laser beam passes through a thin slit. When the pattern is viewed on a screen 1.25 m past the slit, you observe that the fifth-order dark fringes occur at ±2.41 cm from the central bright fringe. The entire experiment is now performed within a liquid, and you observe that each of the fifth-order dark fringes is 0.790 cm closer to the central fringe than it was in air. What is the index of refraction of this liquid? A) 1.33 B) 1.40 C) 1.49 D) 1.62 E) 3.05
Answers
The liquid has a 1.49 index of refraction (choice C). We may determine the laser beam's wavelength using the following equation for the location of black fringes in a single-slit diffraction pattern:
d*sin() = m, where m is the order of the dark fringe, is the wavelength of the laser beam, and is the angle between the central brilliant fringe and the mth dark fringe.
M = 5, d is unknown, and = sin(-1)(2.41/125) for the fifth-order dark fringe. We can figure out d:
\((5)()/(sin(sin(-1)(2.41/125))) = 0.002286 m where d = m/sin()\)
The laser beam's wavelength in a liquid changes to /n, where n is the liquid's index of refraction. The fifth-order dark fringe is moved 0.790 cm away from the centre bright fringe, so:
d*sin() equals m(/n).
\((d-0.00790)sin() = (m-5)(/n)\)
We can figure out n:
d*sin() = d-0.00790+n = /(d*sin())(m-5)(λ/n)*sin(θ))
The result of entering values and solving is n = 1.49.
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what is the frequency of a 7.43 x 10-5 m wave
Answers
The frequency of a \(7.43 * 10^(-5)\) m wave is approximately \(4.04 * 10^(12)\) Hz.
The frequency of a wave is the number of complete wave cycles that pass a given point in one second, and it is measured in hertz (Hz). To calculate the frequency of a wave, we can use the formula:
frequency = wave speed / wavelength
where the wave speed is wave speed, and the wavelength is distance between two points of the wave.
In this case, we are given the wavelength of the wave, which is \(7.43 * 10^(-5)\)meters. However, we are not given the wave speed, so we cannot calculate the frequency directly. If we assume that the wave is an electromagnetic wave, then we can use the speed of light as the wave speed, which is approximately \(3 * 10^8\) meters per second.
Put values:
frequency = \((3 * 10^8 m/s) / (7.43 * 10^-5 m)\)
frequency = \(4.04 * 10^(12)\) Hz
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An ideal gas is compressed without allowing any heat to flow into or out of the gas. Will the temperature of the gas increase, decrease, or remain the same in this process? Explain.
a. There is only work done on the system, so there will be an increase in the internal energy of the gas that will appear as an increase in temperature.
b. There is only work done on the system, so there will be a decrease in the internal energy of the gas that will appear as a decrease in temperature.
c. No work is done on the system, so there will be no change in the internal energy and no change in the temperature.
d. There is not enough information to decide.
Answers
The correct option is a. There is only work done on the system, so there will be an increase in the internal energy of the gas that will appear as an increase in temperature.
When an ideal gas is compressed without allowing any heat to flow into or out of the gas, the temperature of the gas will increase. The correct option is a. There is only work done on the system, so there will be an increase in the internal energy of the gas that will appear as an increase in temperature.
In the process of compressing an ideal gas without allowing any heat to flow into or out of the gas, the internal energy of the gas increases as work is done on the system. This increase in internal energy appears as an increase in temperature.
Since the heat exchange is prohibited, all the work done is used to increase the internal energy of the gas as pressure is exerted on it by the surroundings.
Therefore, the correct option is a.
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