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For every quantum state, the standard deviation of it's position multiplied by the standard deviation of it's momentum has to be larger than or equal to the reduced Planck constant divided by two.
σxσp ≥ hbar/2
This doesn't mean that you can't measure position and momentum at the same time. What it means is that the products of their deviations from their expectation values can't go lower than hbar/2, ie. there is a limit to the combined precision of the two measurements.
It can also be shown that the combined precision of several other quantities have a lower limit, such as energy and time.
What else can I help you with?
Who said that the location and velocity of an electron couldn't be known?
Werner Heisenberg proposed the uncertainty principle, which states that it is impossible to simultaneously know both the exact position and exact velocity of a particle, such as an electron. This principle is a fundamental concept in quantum mechanics.
What principle says that the location and velocity of electrons cannot be known at the same time?
Heisenberg's Uncertainty Principle states that the more precisely we know the position of a particle (like an electron), the less precisely we can know its momentum and vice versa. This uncertainty arises from the wave-particle duality of quantum mechanics.
According to the modern theory the exact location of what is uncertain?
According to modern physics, the exact location of an electron within an atom is uncertain. This uncertainty is described by the Heisenberg Uncertainty Principle, which states that it is impossible to simultaneously know the exact position and momentum of a particle.
How did Heisenberg change the world?
Heisenberg was a German physicist whose work on the uncertainty principle in quantum mechanics fundamentally changed the way scientists understand the behavior of particles at the smallest scales. His principle states that it is impossible to simultaneously know the exact position and momentum of a particle. This concept revolutionized the field of quantum mechanics and laid the foundation for modern physics.
What is the velocity of an electron with a mass of 9.11 x 10-31 kg at a position with an uncertainty of 5x10-10 m?
The Heisenberg Uncertainty Principle states that the product of the uncertainty in position and momentum is at least equal to h/4*pi. The momentum of the electron is equal to its mass multiplied by its velocity. Using the uncertainty principle, you can calculate an approximate lower limit for the velocity.
Who develped a principle that says it is impossible to know both location and mass of an electron at the same time?
Werner Heisenberg developed this principle, known as the Heisenberg Uncertainty Principle.
Heisenberg is famous for what principle?
Heisenberg is famous for the Heisenberg Uncertainty Principle, which states that it is impossible to simultaneously know both the exact position and exact momentum of a particle. This principle is a fundamental concept in quantum mechanics and has profound implications for our understanding of the behavior of particles on a very small scale.
Who invented the heisenberg's uncertainty principle?
Werner Heisenberg. Born in Munich, Germany in 1901 and died in 1976. Heisenberg examined features of qauntum mechanics that was absent in classical mechanics. Thus created the "Heisenberg Uncertainty Principle".
What is the heisenberg uncertainty prin?
The Heisenberg uncertainty principle states that it is impossible to measure both the position and momentum of a particle with absolute certainty. This is because the act of measuring one of these properties inherently affects the measurement of the other. The principle is a fundamental concept in quantum mechanics.
What scientist said you cannot predict exactly where an electron is or what path it will take?
The scientist who said this is Werner Heisenberg. He formulated the uncertainty principle, which states that it is impossible to know both the exact position and momentum of a particle, such as an electron, simultaneously.
Does the Heisenberg uncertainty principle apply to cars and airplanes?
No, the Heisenberg uncertainty principle applies to the behavior of subatomic particles, not to macroscopic objects like cars and airplanes. The principle states that it is impossible to know both the exact position and momentum of a particle simultaneously. This uncertainty arises due to the wave-particle duality of particles at the quantum level.
What are the two parts of the Heisenberg uncertainty principle?
Heisenberg uncertainty principle states that , the momentum and the position of a particle cannot be measured accurately and simultaneously. If you get the position absolutely correct then the momentum can not be exact and vice versa.
Proof of Heisenberg's uncertainty principle?
Heisenberg's uncertainty principle states that it is impossible to simultaneously know the exact position and momentum of a particle. This principle arises from the wave-particle duality in quantum mechanics, where the act of measuring one quantity disrupts the other. Mathematically, the principle is represented by the inequality Δx * Δp ≥ ħ/2, where Δx is the uncertainty in position, Δp is the uncertainty in momentum, and ħ is the reduced Planck constant.
Who said that the location and velocity of an electron couldn't be known?
Werner Heisenberg proposed the uncertainty principle, which states that it is impossible to simultaneously know both the exact position and exact velocity of a particle, such as an electron. This principle is a fundamental concept in quantum mechanics.
Can you provide an example that illustrates the Heisenberg Uncertainty Principle?
The Heisenberg Uncertainty Principle states that it is impossible to know both the exact position and momentum of a particle simultaneously. An example of this is when trying to measure the position of an electron, the more accurately we know its position, the less accurately we can know its momentum, and vice versa. This principle highlights the inherent uncertainty in measuring certain properties of particles at the quantum level.
According to Heisenberg uncertainty principle if the position of a moving particle is known what other quantity cannot be known?
According to the Heisenberg uncertainty principle if the position of a moving particle is known velocity is the other quantity that cannot be known. Heisenberg uncertainty principle states that the impossibility of knowing both velocity and position of a moving particle at the same time.
States that is imposible to know both the velocity and the position of a particle at the same time?
The heisenberg uncertainty principle is what you are thinking of. However, the relation you asked about does not exist. Most formalisms claim it as (uncertainty of position)(uncertainty of momentum) >= hbar/2. There is a somewhat more obscure and less useful relation (uncertainty of time)(uncertainty of energy) >= hbar/2. But in this relation the term of uncertainty of time is not so straightforward (but it does have an interesting meaning).
