When uncertainty of position is zero then uncertainty of momentum is?

When uncertainty of position is zero then uncertainty of momentum is?

If the uncertainty in the position of an electron is zero the nucertainty in its momentum be. then Δp=∞.

What happens when uncertainty 0?

Suppose you measure quantity x with an uncertainty dx. By error propagation the uncertainty on f would be df=2xdx. If a certain point x equals zero then the uncertainty on f would be zero, even if x carries an uncertainty.

What is the uncertainty of momentum?

The uncertainity in momentum would be infinite.

What is the uncertainty in the position of a particle when the uncertainty in the momentum is infinity?

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The uncertainty of position is infinite (we are completely uncertain about position) and the uncertainty of the momentum is zero (we are completely certain about momentum).

What will be the uncertainty in position of an electron if uncertainty in velocity is zero?

If Δv is zero, then denominator in the above expression becomes zero and, therefore, uncertainty in position is infinity.

Can you have 0 uncertainty?

An uncertainty of zero means that you have a probability distribution containing exactly one point with probability 1, also known as the delta function distribution. This distribution is not realistic since a delta function is not something that occurs in nature; it’s only an idealization.

Is instrument zero error a systematic uncertainty?

Two types of systematic error can occur with instruments having a linear response: Offset or zero setting error in which the instrument does not read zero when the quantity to be measured is zero.

What is the uncertainty in its position?

The uncertainty in position is the accuracy of the measurement, or Δx = 0.0100 nm. Thus the smallest uncertainty in momentum Δp can be calculated using ΔxΔp≥h4π Δ x Δ p ≥ h 4 π . Once the uncertainty in momentum Δp is found, the uncertainty in velocity can be found from Δp = mΔv.

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Is the uncertainty in velocity and position is same then the uncertainty in momentum would be?

If the uncertainty in position and velocity are equal, then uncertainty in momentum will be: A. 12√mhπ Hint:This question is based on Heisenberg’s Uncertainty principle, which states that the position and the velocity of a subatomic particle like an electron cannot be measured with absolute certainty.

What is the uncertainty in the location of a photon?

Hence, the uncertainty in position is calculated to be 0.02 m.

What is the uncertainty in the position of an electron if uncertainty?

If uncertainty in position of the electron is , then the uncertainty in its momentum would be infinity.

What would happen if the uncertainty in momentum was zero?

If the uncertainty in the momentum were zero, you would have no idea where the object is, since the uncertainty in position would have to be infinite. This really means that it makes no sense for the uncertainty in momentum to be zero.

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What is the uncertainty of the position of a free particle?

The uncertainty of position is infinite (we are completely uncertain about position) and the uncertainty of the momentum is zero (we are completely certain about momentum). This account of a free particle is consistent with Heisenberg’s uncertainty principle. Similar statements can be made of localized particles.

Why does the uncertainty in ∆X tend to infinity?

According to Heisenberg’s uncertainty principle exact position and velocity of an electron cannot be measured simultaneously. (Where p is momentum,x is position and h is planck’s constant with value = 6.626 × 10^-34 J.s) Therefore uncertainty in ∆x tends to infinity . Trick question. That cannot occur.

Is it possible to measure position x and momentum p simultaneously?

> If uncertainty in the posit… According to Heisenberg’s Uncertainty Principle, it is impossible to measure position x and momentum p simultaneously. Here, neither uncertainty can be zero and if the position is zero the uncertainty in momentum becomes infinite.