According to the kinetic theory of gases, collisions between the molecules in a gas are perfectly elastic.
It means that the total kinetic energy of the colliding molecules is conserved. This means that during a collision, the molecules may exchange energy and momentum with one another, but the total amount of energy and momentum remains constant.
In addition, according to the kinetic theory, the molecules in a gas are in constant random motion and travel in straight lines until they with each other or with the walls of their container.
The average kinetic energy of the molecules is proportional to the temperature of the gas, and the pressure of the gas is proportional to the number of collisions the molecules make with the walls of the container in a given amount of time. The kinetic theory provides a useful framework for understanding the behavior of gases at the molecular level.
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What quantum numbers represents each electron in a ground state?
This is the initial condition. This has the quantum numbers n=1, l=0, ml=0, and ms=+1/2. We call this "orbital" a 1s orbital since we only need the n and l.
An electron's ground state, or the energy level it ordinarily occupies, is its lowest energy state. There is also a maximum amount of energy that an electron can have while still being a component of its atom. These quantum numbers represent the size, shape, and spatial orientation of an atom's orbitals. The orbital's size is described by the primary quantum number (n). For example, orbitals with n = 2 are bigger than those with n = 1. The ground state is defined as n = 1, whereas higher n states are defined as excited states. As an electron in an atom transitions from a higher to a lower state, it loses energy.
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Is the flux of electric field through a closed surface is zero then?
If the flux of the electric field through the closed surface is zero then the electric field at points on that surface must be zero.
On the off chance that the electric field going through a shut surface is uniform and opposite to the surface, the electric transition through the surface will be zero. This happens on the grounds that the electric field lines enter and leave the surface at equivalent rates, prompting a net transition of nothing. Be that as it may, in the event that the electric field is non-uniform or not opposite to the surface, the electric transition through the surface won't be zero. The electric motion through a shut surface is connected with how much charge encased by the surface, as given by Gauss' regulation. In this way, deciding the electric motion through a closed surface can give data about the charge circulation inside the surface.
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Based on what you learned about light, select all of the correct statements from the following list.a. High frequency photons carry more energy than long wavelength photons.b. All electromagnetic waves travel at the speed of light.c. Light can act both as a wave and a particle.d. A photon is a particle of light. X-rays and gamma rays are long wavelength photons.e. Different types of electromagnetic radiation are fundamentally different types of waves.f. The only type of electromagnetic radiation that is actually considered light is visible light.
Correct statements about light are a) b) c) d) and false statements are e) and f) based on radiation properties
Correct statements about light are:
a. High frequency photons carry more energy than long wavelength photons. This is because the energy of a photon is directly proportional to its frequency, according to the equation E=hf, where E is energy, h is Planck's constant, and f is frequency. Therefore, photons with higher frequencies (and shorter wavelengths) have higher energy than those with lower frequencies (and longer wavelengths).
b. All electromagnetic waves travel at the speed of light. This is a fundamental property of electromagnetic waves, which are made up of oscillating electric and magnetic fields that propagate through space at the speed of light in a vacuum.
c. Light can act both as a wave and a particle. This is known as wave-particle duality and is a fundamental concept in quantum mechanics. Depending on the experiment, light can exhibit both wave-like and particle-like behavior.
d. A photon is a particle of light. This is true. Photons are the fundamental particles of light and are massless particles that travel at the speed of light.
e. Different types of electromagnetic radiation are fundamentally different types of waves. This is false. All types of electromagnetic radiation are fundamentally the same type of wave, differing only in their frequency and wavelength.
f. The only type of electromagnetic radiation that is actually considered light is visible light. This is false. All types of electromagnetic radiation, from radio waves to gamma rays, are considered forms of light. However, the human eye is only sensitive to a narrow range of frequencies within the electromagnetic spectrum, which we perceive as visible light.
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the density of mercury is 13,600 kg/m3 at 0 ∘c . what is the density of mercury at 200 ∘c ?
The density of mercury is 13,600 kg/m³ at 0°C . 13,119 kg/m³ is the density of mercury at 200 °C.
The density of mercury at 0 °C is given as 13,600 kg/m³. To find the density of mercury at 200 °C:-
ρ2 = ρ1 / [1 + β (T2 - T1)]
The coefficient of volume expansion of mercury is given as 1.82 x 10⁻⁴ K⁻¹.
Converting the temperatures to Kelvin, we have:
T₁ = 0 + 273.15 = 273.15 K
T₂ = 200 + 273.15 = 473.15 K
ρ₂ = 13,600 kg/m³ / [1 + (1.82 x 10⁻⁴ K⁻¹)(473.15 K - 273.15 K)]
ρ₂ = 13,600 kg/m³ / [1 + (1.82 x 10⁻⁴ K⁻¹)(200 K)]
ρ₂ = 13,600 kg/m³ / [1 + 0.0364]
ρ₂ = 13,600 kg/m³ / 1.0364
ρ₂ = 13,119 kg/m³
Therefore, the density of mercury at 200 °C is approximately 13,119 kg/m³.
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a student was doing an experiment on the photoelectric effect. she used a light source to eject electrons from the metal source. the student continuously irradiated the same area of the metal for a long time and she noticed the maximum kinetic energy of ejected electrons began to decrease, even though the frequency of the light was constant. choose the best explanation for this observation. a) the light source was not emitting light at a high enough frequency. b) the metal was running out of electrons. c) as the electrons are ejected, the metal becomes positively charged, attracting the recently ejected electrons back toward the metal. d) the further the electrons are from the metal source, the stronger the attraction to the metal nuclei. these ejected electrons will slow down. e) the energy of the light source must be decreasing.
As electrons are constantly ejected from the metal, it becomes increasingly positive in charge. The magnitude of positive charge eventually becomes large enough to attract the ejected electrons.
The photoelectric effect is a phenomenon in which electrons are ejected from the surface of a metal when light is incident on it. These ejected electrons are known as photoelectrons. It is important to note that the emission of photoelectrons and the kinetic energy of the ejected photoelectrons are affected by the frequency of the incident light on the metal's surface. Photoemission is the process by which photoelectrons are ejected from the surface of a metal due to the action of light.
Electrons on the metal's surface absorb energy from incident light and use it to overcome the attractive forces that bind them to the metallic nuclei, resulting in the photoelectric effect.
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How does an object's motion change as a result of centripetal acceleration?
Centripetal acceleration, the acceleration of a body traversing a circular path. Because velocity is a vector quantity (that is, it has both a magnitude, the speed, and a direction), when a body travels on a circular path, its direction constantly changes and thus its velocity changes, producing an acceleration.
Can you accept the existence of something this doesn’t possess this property of interaction? And if so, how do you know which thing(s) to accept, since they aren’t detectable?
Answer:
I can tell you that in the realm of physics and philosophy, the existence of things that don't interact with their environment is a concept that has been debated.
In physics, there are concepts like dark matter and dark energy, which are believed to exist based on their gravitational effects on visible matter, but they do not interact with light or other forms of electromagnetic radiation, making them difficult to detect directly.
In philosophy, there are debates about the existence of things like abstract objects, such as numbers or concepts, which are not physical and do not interact with the physical world, but are thought to exist in a different way.
Ultimately, whether or not one accepts the existence of things that don't interact is a matter of personal belief or theoretical framework. Scientifically, the existence of such things can be postulated based on their effects on other things that can be detected, but their ultimate existence may be impossible to prove conclusively.
if your car speedometer fluctuates between 15 and 90 miles per hour as you are driving on a freeway at a constant speed then as a measure of speed, your car speedometer is low in
Car speedometer is likely reading lower than your actual speed.
This is because a speedometer measures the speed of the wheels of the car, rather than the actual speed at which the car is moving.
The speedometer is connected to the car's transmission and measures the rotations of the drive shaft. The drive shaft rotates a certain number of times per revolution of the car's wheels, and this rotation is measured by a sensor in the speedometer. The sensor then sends a signal to the speedometer, which displays the speed on the dashboard.
However, the speedometer is calibrated based on the size of the tires on the car. If the size of the tires is not the same as the size that the speedometer is calibrated for, then the speedometer will not read the correct speed. This can be due to several factors, such as worn tires or different tire sizes than what the car was designed for.
If you suspect that your speedometer is not reading correctly, it is a good idea to have it checked and recalibrated by a professional mechanic. This will ensure that you are driving at the correct speed and can help you avoid any potential safety hazards on the road.
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a medical linear accelerator is used to accelerate electrons to create high energy beams that can destroy tumors with minimal impact on surrounding healthy tissue. the beam energy fluctuates between 200 and 210 mev. the cumulative distribution function is
A medical linear accelerator accelerates electrons to create high-energy beams, with energy levels fluctuating between 200 and 210 MeV, which is used to destroy tumors while preserving healthy tissue. The beam energy fluctuations could be represented using a cumulative distribution function in statistics.
Explanation:A medical linear accelerator is a device used in cancer treatment. It utilizes electromagnetic fields to accelerate electrons to high speeds, creating a beam of high energy. This energy, typically oscillating or fluctuating between 200 and 210 MeV (mega-electron volts), targets cancerous tumors, destroying them with minimal damage to surrounding healthy tissues. In statistics, the cumulative distribution function could be utilized to understand or describe the probability associated with these energy fluctuations of the electron beam.
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assume the speed of sound is 340 m/s and the two loudspeakers emit a tone with a frequency of 680 hz. find the minimum distance that the observer has to travel in the x direction (moving toward one speaker and away from the other) to hear the smallest possible sound intensity.
The minimum distance that the observer has to travel in the x direction to hear the smallest possible sound intensity is 0.25 meters.
The distance between adjacent minima is given by,
d = (λ/2) × (D/d)
where λ is the wavelength, D is the distance between the speakers, and d is the distance between the observer and nearest speaker.
The wavelength of the sound is given by,
λ = v/f
where v is the speed of sound and f is the frequency of the sound. Substituting the given values,
λ = 340/680 = 0.5 m
Distance between adjacent minima to solve for d,
d = λ/2 × (D/d)
d^2 = (λ×D)/2
d = sqrt(λ×D/2)
To find the minimum distance, minimize d. This occurs when d is equal to half the wavelength of the sound. Thus,
d = λ/2 = 0.25 m
Solve for D,
D = λ * (d/(λ/2))
D = 2d = 0.5 m
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a student has two capacitors of unknown capacitance connected in the circuit shown above, which has reached steady state. the student wants to determine the ratio of the capacitances. which of the following explains why measurements of the potential difference across each capacitor and the current in each of the capacitor branches is not sufficient? responses the potential difference across the two branches is the same. the potential difference across the two branches is the same. the resistors in the branches with the capacitors have different resistances and will affect the values of the currents. the resistors in the branches with the capacitors have different resistances and will affect the values of the currents. the only equation for a capacitor that is applicable at steady state is v
The statement that best explains why measurements of the potential difference across each capacitor and the current in each of the capacitor branches are not sufficient to determine the ratio of capacitances is:
"The resistors in the branches with the capacitors have different resistances and will affect the values of the currents."
The potential difference across the two branches is the same because they are connected in parallel to the same voltage source. However, the resistors in the branches with the capacitors have different resistances, which will affect the values of the currents flowing through each capacitor. Since the capacitors are connected in parallel, the potential difference across them is the same, but the charges and capacitances can be different.
To determine the ratio of the capacitances, the student needs to use additional information or measurements, such as the time constant of the circuit, the total current flowing through the circuit, or the charge stored in each capacitor. The only equation for a capacitor that is applicable at steady state is V = Q/C, which relates the potential difference across a capacitor (V) to the charge stored on the plates (Q) and the capacitance (C).
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sound waves with frequency 3700 hz and speed 343 m/s diffract through the rectangular opening of a speaker cabinet and into a large auditorium of length 100 m. the opening, which has a horizontal width of 21.0 cm, faces a wall 100 m away. along that wall, how far from the central axis will a listener be at the first diffraction minimum and thus have difficulty hearing the sound? (neglect reflections.)
The central will a listener be at the first minimum and thus have difficulty hearing the sound is 41.2 m.
As with all waves, the relationship between sound speed, frequency, and wavelength can be described by the equation where stands for sound speed, stands for sound frequency, and represents the wavelength.
Perpendicular to the speaker and spaced from the central should make up the initial minimum.
Therefore,
100m/[(0.300m)(3000Hz)/(343m/s)]²-1
= 41.2 m
Therefore, the central will a listener be at the first minimum and thus have difficulty hearing the sound is 41.2 m.
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A pilot was asked to drop food packets in a terrain. He must fly over the entire terrain
In order for the pilot to drop food packets over the entire terrain, he must fly in a specific pattern to ensure that no areas are missed.
One common pattern used for this type of operation is called the grid pattern. In the grid pattern, the terrain is divided into a grid of equal-sized squares. The pilot then flies over the terrain in a series of parallel lines, dropping food packets at regular intervals. Once the end of the terrain is reached, the pilot turns and flies back in the opposite direction, dropping packets at the same regular intervals. The distance between the parallel lines is determined by the size of the squares in the grid, and the regular intervals at which packets are dropped are determined by the desired coverage density. By flying in this pattern, the pilot can ensure that no areas of the terrain are missed, and that the food packets are distributed evenly throughout the entire area. This method is commonly used in agriculture and forestry applications, as well as in search and rescue operations.
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Io loses about a ton (1000 kilograms) of sulfur dioxide per second to Jupiter's magnetosphere.
a. At this rate, what fraction of its mass would Io lose in 4.5 billion years?
b. suppose sulfur dioxide currently makes up 1% of Io's mass. When will Io run out of this gas at the current loss rate?
Sulfur dioxide (SO2) is a chemical compound that is composed of one sulfur atom and two oxygen atoms. It is a colorless gas with a pungent odor, and is produced by both natural and anthropogenic sources.
Describe Sulphur Dioxide?
Natural sources of sulfur dioxide include volcanic eruptions, while anthropogenic sources include the burning of fossil fuels, such as coal and oil, and the smelting of ores containing sulfur. Sulfur dioxide is also used in the production of paper, wine, and other products.
a. To find the fraction of its mass that Io would lose in 4.5 billion years, we first need to find how much sulfur dioxide it would lose in that time.
One year has 31536000 seconds (60 seconds per minute × 60 minutes per hour × 24 hours per day × 365 days per year), so 4.5 billion years is:
4.5 billion years × 31536000 seconds per year = 1.42 x 10¹⁷ seconds
So, the total amount of sulfur dioxide lost in that time is:
1000 kg/s * 1.42 x 10¹⁷ s = 1.42 x 10²⁰ kg
To find the fraction of Io's mass that this represents, we need to divide this amount by Io's mass. According to NASA, Io's mass is about 8.9319 x 10²² kg.
Fraction of Io's mass lost = (1.42 x 10²⁰ kg) / (8.9319 x 10²² kg) = 0.00159
Therefore, Io would lose about 0.159% of its mass in 4.5 billion years at this rate.
b. If sulfur dioxide currently makes up 1% of Io's mass, we can use the same rate of loss to determine how long it would take for Io to run out of this gas.
Let's call the amount of sulfur dioxide currently on Io SD₀. Then we can set up the following equation:
SD₀ - 1000 kg/s × t = 0
where t is the time in seconds it takes for Io to lose all of its sulfur dioxide.
We know that SD₀ is 1% of Io's mass, so we can use the mass of Io from part a to find SD₀:
SD₀ = 0.01 × 8.9319 x 10²² kg = 8.9319 x 10²⁰ kg
Plugging this in, we get:
8.9319 x 10²⁰ kg - 1000 kg/s × t = 0
Solving for t, we get:
t = (8.9319 x 10²⁰ kg) / (1000 kg/s) = 8.9319 x 10¹⁷ seconds
Converting this to years, we get:
t = 8.9319 x 10¹⁷ s / 31536000 s per year = 2.83 x 10¹⁰ years
Therefore, at the current rate of loss, Io would run out of sulfur dioxide in about 28.3 billion years.
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u drive for 30 min for 30 km east and then another 30 min for 40 km north. the magnitude of your average velocity for the entire trip is
Average speed is determined by dividing the whole distance you travelled by the total time, whereas average velocity is determined by your displacement line connecting your starting location and finishing point.
What is the magnitude of average velocity?To calculate the average velocity based on the displacement for the entire period taken. The displacement, which is the smallest distance between the initial and final points, is shown as the dash between the final point here and the dash between the starting point here.
And by using the bye to Chris rule, we can obtain this or dash. The route will therefore be 30 square plus 40 square, which equals 50 kilometres.
Therefore, 50 km divided by the total time represents the average speed in terms of magnitude. It has been an hour. And as a result, we are given the average velocity's magnitude as 50 km/h.
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a car moving at constant speed rounds a curve as shown (the view is from above). at the point pictured, is there a force of friction acting on the car? hint: think of all the forces acting on the car. what direction do they have to add up to? a. no b. yes, pointing backwards c. yes, pointing left d. yes, pointing right
Yes, there is a force of friction acting on the car at the point pictured. The force of friction acts in the direction opposite to the direction of motion of the car, so it would be pointing towards the center of the curve (which is towards the left in this case).
What is Constant Speed?
Constant speed refers to the situation where an object is moving with a consistent or uniform velocity in a straight line. It means that the object is moving at the same rate and in the same direction for the entire duration of its motion.
For example, if a car is traveling at a constant speed of 60 miles per hour, it will travel 60 miles in one hour, 120 miles in two hours, and so on. In contrast, an object that is not moving at a constant speed is said to have a variable speed, meaning its velocity changes over time.
The car is moving at a constant speed, which means that the net force acting on it must be zero. In order for this to be the case, the force of friction must be present to counteract the centripetal force that is required to keep the car moving in a circular path. This centripetal force is provided by the normal force of the road pushing up on the tires of the car, and the force of friction must be present to counteract it so that the net force on the car is zero. Therefore, the correct answer is (c) yes, pointing left.
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D Pressure is directly proportional to temperature at constant volume. True False
Answer: I think false!
Explanation: hope this helps and I hope everyone is having a good day/Friday&weekend^^
What is the acceleration of an object moving in a circular motion at a constant speed?
The velocity of an item traveling in a circle at a constant speed is changing, therefore the object is still accelerating.
Since its velocity is changing, an object traveling in a circle at a constant speed is still accelerating. Particularly, even if its speed doesn't change, the direction of motion does. The item is being pulled towards the center of the circular route by a centripetal force, which is the cause of the direction shift.
The acceleration of an object moving in a circular motion at a constant speed can be calculated using the following formula:
a = [tex]v^2 / r[/tex]
where
a is the centripetal acceleration,
v is the speed of the object, and
r is the radius of the circular path.
The velocity of an item traveling in a circle at a constant speed is changing, therefore the object is still accelerating.
In particular, even while its speed is constant, its direction of motion is continually changing. A centripetal force, which is dragging the item towards the centre of the circular route, is to blame for this shift in direction.
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an automobile is sliding across an icy street at a speed of 69.3 km/h and it collides with a parked car. the two cars lock up and they slide together with a speed of 35.7 km/h. if the mass of the parked car is 1250 kg, then what is the mass of the first car?
We can solve this problem by using the principle of conservation of momentum, which states that the total momentum of a system of objects remains constant unless an external force acts on it. By using this the mass of the first car is 2053 kg.
Explain the principle of conservation of momentum.A fundamental tenet of physics is the conservation of momentum, which holds that unless an outside force occurs on an isolated system of objects, its overall momentum will not change. As long as there are no outside forces acting on the system, this indicates that the total momentum of a system prior to a collision or interaction is equal to the total momentum of the system following the collision or interaction.
To calculate the mass of the first car:
The momentum of a car is given by its mass times its velocity. So, we can write:
The momentum of first car before collision + momentum of the parked car before collision = momentum of both cars after collision
Let the mass of the first car be m1, and let the velocity of the first car before the collision be v1. We can convert the given speeds from km/h to m/s, since the units need to be consistent for the calculation:
69.3 km/h = 19.25 m/s
35.7 km/h = 9.92 m/s
Using the principle of conservation of momentum, we can write:
m1 * v1 + 0 = (m1 + 1250 kg) * 9.92 m/s
Simplifying and solving for m1, we get:
m1 * v1 = (m1 + 1250 kg) * 9.92 m/s
m1 * v1 = 9.92 m/s * m1 + 9.92 m/s * 1250 kg
m1 * v1 - 9.92 m/s * m1 = 9.92 m/s * 1250 kg
m1 * (v1 - 9.92 m/s) = 9.92 m/s * 1250 kg
m1 = (9.92 m/s * 1250 kg) / (v1 - 9.92 m/s)
We don't know the value of v1, but we can find it by using the fact that the two cars slide together after the collision. The velocity of the two cars after the collision is given by:
35.7 km/h = 9.92 m/s
Using the principle of conservation of momentum again, we can write:
m1 * v1 + 0 = (m1 + 1250 kg) * 9.92 m/s
m1 * v1 = 9.92 m/s * (m1 + 1250 kg)
v1 = 9.92 m/s * (m1 + 1250 kg) / m1
Substituting this expression for v1 into the earlier equation, we get:
m1 = (9.92 m/s * 1250 kg) / (9.92 m/s * (m1 + 1250 kg) / m1 - 9.92 m/s)
Simplifying this equation and solving for m1, we get:
m1 = 2053 kg
Therefore, the mass of the first car is 2053 kg.
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You see a flash of lightning and hear the thunder 3 seconds later. How far away was the
lightning strike? (Thunder is caused by lightning. Use 25 ºC for the temperature of the
air.)
Answer:
1020 meters
Explanation:
To determine the distance from a lightning strike, you can use the time elapsed between seeing the flash of lightning and hearing the thunder.
The speed of sound in air is approximately 340 m/s. So the distance from the lightning can be calculated as:
distance = (time elapsed) x (speed of sound) = 3 seconds x 340 m/s = 1020 meters.
Note: This calculation is a rough estimate and does not take into account other factors such as air temperature, atmospheric pressure, and altitude, which can affect the speed of sound.
ALLEN
a horseshoe magnet is moved toward a pile of iron shavings. the iron shavings divide and attach to both ends of the magnet. how does the kinetic energy of the system change? (1 point) responses kinetic energy decreases because iron shavings move in the direction of magnetic force. kinetic energy decreases because iron shavings move in the direction of magnetic force. kinetic energy decreases because iron shavings move in the opposite direction of magnetic force. kinetic energy decreases because iron shavings move in the opposite direction of magnetic force. kinetic energy increases because iron shavings move in the opposite direction of magnetic force. kinetic energy increases because iron shavings move in the opposite direction of magnetic force. kinetic energy increases because iron shavings move in the direction of magnetic force.
The correct answer is "kinetic energy decreases because iron shavings move in the direction of magnetic force."
When a horseshoe magnet is moved near a pile of iron shavings, the magnet's magnetic force attracts the shavings, causing them to move toward the magnet. As a result, the iron shavings begin to align along the magnet's magnetic field lines, attaching to both ends of the magnet.
Because the iron shavings are moving in the direction of the magnetic force, they are doing work against it, and this work is transferred from their kinetic energy to the system's magnetic energy. The system's kinetic energy is reduced as a result.
As a result, the correct answer is that kinetic energy decreases as iron shavings move in the direction of magnetic force.
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at a bowling alley, two players each score a spare when their bowling balls make head-on, approximately elastic collisions at the same speed with identical pins. after the collisions, the pin hit by ball a moves much more quickly than the pin hit by ball b. which ball has more mass?
Ball B has more mass than ball A.
If the two bowling balls collide elastically and with the same speed, they must have the same initial momentum. When they hit the pins, the total momentum is conserved, and is transferred to the pins. The net momentum transfer to the pins is zero.
However, if the pins move at different speeds after the collision, it means they receive different amounts of impulse during the collision. Impulse is defined as the change in momentum, and is equal to the force multiplied by the time it is applied.
Therefore, the pin hit by ball A must have experienced a greater impulse than the pin hit by ball B, since it moved more quickly, means that ball A must have had less mass than ball B.
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what is the role of electric bulb in electric circuit
Answer: Determine if the electricity is flowing.
Explanation:
If I have this correct, with how you said it, it's to make sure the electricity is flowing because you can actually see it when it's on and off to tell the difference!
therm is a unit that is generally used to measure the energy contained in natural gas. t/f
Although being a fossil fuel, natural gas is cleaner and more effective than other conventional fuels. According to the Center for Liquefied Natural Gas, natural gas emits fewer greenhouse gases and pollutants than its competitors. Thus, it is true.
What is the energy contained in natural gas?The methane and other hydrocarbon molecules in the decomposing organisms contain chemical energy that was previously obtained by photosynthesis from the sun. Burning natural gas can provide power as well as heat homes.
Methane makes up the majority of natural gas, but it also includes ethane, propane, and heavier hydrocarbons. Moreover, it has trace amounts of water, nitrogen, carbon dioxide, and hydrogen sulphide.
Therefore, it is true that therm is a unit that is generally used to measure the energy contained in natural gas.
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A platinum resistance thermometer measure temperature on the assumption that the change in electrical resistance of platinum is proportional to the change in temperature. The resistance of the platinum at 100oc. Calculate the temperature when the resistance is 9.601ohms. What will be the resistance which the temperature is 45oc.
The resistance is directly proportional to the temperature. Then resistance of platinum at 100°C IS 2.5 Ω. Then, the when the resistance becomes 9.61 ohms is 384°C. Then, the resistance at 45°C is 1.1 ohms.
What is resistance ?Resistance in a material is the hindrance to electric current. The resistance through a material depends on the electric voltage, temperature and current.
The resistance is directly proportional to the temperature.
then given R1/T1 = R2/T2
Given the resistance at 100 °C is 2.5 ohms .
R2 = 9.6 ohms
then, T2 = R2 T1/R2
T2 = (9.6 ohms × 100°C)/2.5 ohms = 384°C.
Then, the resistance at 45 degree Celsius is calculated as follows;
R2 = (2.5 ohms × 45)/100°C = 1.1 ohms.
Therefore, the resistance of platinum at 45°C is 1.1 ohms.
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1.805 . 10^4 + 5.89 . 10^2
give the answer to the correct number of significant figures
7.695 * 106. is the correct number of significant numbers.
What is Significant numbers?In positional notation, significant figures refer to the digits in a number that are trustworthy and required to denote the amount of something, also known as the significant digits, accuracy, or resolution.
Only the digits allowed by the measurement resolution are dependable, hence only these can be important figures if a number expressing the outcome of a measurement (such as length, pressure, volume, or mass) has more digits than the number of digits allowed by the measurement resolution.
The first three digits (1, 1 and 4, displaying 114 mm) are certain, thus they are utilized in calculations.
Therefore, 7.695 * 106. is the correct number of significant numbers.
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The density of mercury is 13600 kg/m3 at 0 oC.What would its density be at 200 oC?Coefficient of volume expansion for mercury is 182x10-6(o C)
The density of mercury at [tex]200^{\circ}C[/tex] is [tex]13122.35 kg/m^3[/tex].
It is given that,
The initial temperature, [tex]T_0=0^{\circ}C[/tex].
The density of mercury at [tex]0^{\circ}C[/tex] is [tex]\rho_{0}=13600 kg/m^3[/tex].
The volume expansion coefficient for mercury is [tex]\alpha_v=182\times10^{-6} (^{\circ}C^{-1})[/tex].
The final temperature, [tex]T=200^{\circ}C[/tex].
Let us assume that,
The initial volume of mercury is [tex]V_0[/tex] [tex]m^3[/tex].
The final volume of mercury is [tex]V[/tex] [tex]m^3[/tex].
The volume expansion formula is given as,
[tex](V-V_0)=V_0\alpha_v(T-T_0)[/tex]
[tex]\Rightarrow V=V_0+V_0\alpha_v(T-T_0)[/tex]
[tex]\Rightarrow V=V_0+V_0(182\times10^{-6})(200-0)[/tex]
[tex]\Rightarrow V=V_0+(0.0364)V_0[/tex]
[tex]\Rightarrow V=1.0364V_0[/tex]
The initial density, [tex]\rho_0=\frac{m}{V_0}=13600 kg/m^3[/tex].
Hence. the final density, [tex]\rho=\frac{m}{V}[/tex].
So, [tex]\frac{\rho}{\rho_0}=\frac{m/V}{m/V_0}[/tex]
[tex]\Rightarrow \frac{\rho}{13600}=\frac{V_0}{V}[/tex]
[tex]\Rightarrow \frac{\rho}{13600}=\frac{V_0}{1.0364V_0}[/tex]
[tex]\Rightarrow \rho=\frac{13600}{1.0364} kg/m^3[/tex]
[tex]\Rightarrow \rho=13122.35 kg/m^3[/tex]
Therefore, the density of mercury at [tex]200^{\circ}C[/tex] is [tex]13122.35 kg/m^3[/tex].
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two speakers are arranged 1 m apart on the y-axis as shown. they emit 0.5 m wavelength sound in phase. if you walk in a circle around the speakers with a radius of 2 m as shown, how many points of constructive interference will you encounter?
As you circle the speakers, you will come across two areas of beneficial interference.
The scenario described in the question involves two speakers that are releasing sound waves that are 0.5 m apart in wavelength. Constructive interference happens when two waves collide and their combined amplitudes create a wave with a larger amplitude. In this scenario, when the individual moves in a circle with a radius of 2 metres around the speakers, they will come across two locations where the waves from the two speakers will collide in phase and cause constructive interference. On the perpendicular bisector of the line connecting the two speakers, these spots are situated. All other locations on the circle will experience destructive wave interference, producing waves with smaller amplitudes.
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does this nebula contain any uranium? choose one: a. yes, all uranium is derived from the crab nebula explosion. b. no, only the first five elements existed when the crab nebula exploded. c. no, because the crab nebula is a first-generation stellar nursery. d. yes, because the crab nebula represents a supernova explosion whose extreme high temperatures allowed for the formation of heavier elements.
Answer:
Explanation:
Since a neutron star is observed in the center of the Crab Nebula, it is believed that the star that went supernovae was a massive star, many times larger than the sun. When this star ran out of fuel it collapsed to a neutron star, and the outer layers were violently thrown off to form the supernova explosion.
a 1500-kg car accelerates from rest to 25 m/s in 7.0 s. what is the average power delivered by the engine? (1 hp
As per the question the average power delivered by the engine is 67,500 Watts or 90 HP.
What is average power?Average power is the amount of energy used on average or the amount of labor completed on average per unit of time. The average power is only used to indicate power in certain circumstances. For instance, the average power likewise rises as cumulative work is increased. The average power declines, however, if there is no change in the amount of labor performed over a continuously growing period of time.
Therefore, work that can be completed in a short amount of time requires more average power, whereas work that must be done over an extended period of time requires less average power. A thorough definition of average power is available.
The SI abbreviation for average power is "w," where "w" stands for Joules per second.
According to question:
Work done = force * distance = m*a*d and power = energy/time
The vo=0 and vf = 25 m/s and t=7 sec. This gives...
3.6 m/s^2 as acceleration and d=87.5 meters and thus F=ma= 5400 N.
Energy = 5400*87.5 = 4.7E5 Joules (2 sig. figs) and Power = 67,500 Watts or 90 HP.
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