A particle has an uncertainty in its position Ax 2a. The magnitude of momentum must be at least as large as uncertainty in momentum. Estimate energy of particle.
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Problem 2.5:- A particle has an uncertainty in its position Ax 2a. The magnitude of momentum must be at least as large as uncertainty in momentum. Estimate energy of particle.

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- Please asapUncertainty Principles 2. (a) Determine the velocity of a bullet measured at 100 m/s, ± 0.001 m/s. If the mass of the bullet is 20g, determine the uncertainty in the bullet's position in meters. (b) Is the uncertainty in position significant in this case.What constraints does the uncertainty principle place on our knowledge of the world? To get a sense of scale, we’ll look at the uncertainty in speed for a confined electron and for a confined dust particle.a. What range of velocities might an electron have if confined toa 0.30-nm-wide region, about the size of an atom?b. A 1.0@mm@diameter dust particle (m ≈ 10-15 kg) is confined within a 5-μm-long box. Can we know with certainty if the particle is at rest? If not, within what range is its velocity likely to be found?
- (a) The position of an electron is known to within 14.5 Å (1.45×10-9 m). What is the minimum uncertainty in its velocity?(b) Repeat the calculation of part (a) for a helium atom.What is the uncertainty in the momentum of a particle if you know its location to an uncertainty of 0.5 nm.Suppose Fuzzy, a quantum-mechanical duck, lives in a world in which h = 2 J s. Fuzzy has a mass of 1.90 kg and is initially known to be within a pond 1.00 m wide. (a) What is the minimum uncertainty in the duck's speed? m/s (b) Assuming this uncertainty in speed to prevail for 4.90 s, determine the uncertainty in Fuzzy's position after this time. m
- After much effort a physicist is able to measure the location of a proton to within 2.11*10^-16 m. What is the minimum uncertainty in the momentum of the proton?An elementary particle has a very short lifetime, 1.34 x 101 s. What is the minimum uncertainty with which we can measure its energy? Please give your answer in electron Volts.An object is moving along a straight line, and the uncertainty in its position is 2.20 m. (a) Find the minimum uncertainty in the momentum of the object. Find the minimum uncertainty in the object's velocity, assuming that the object is (b) a golf ball (mass = 0.0450 kg) and (c) an electron. (a) Number (b) Number (c) Number Units Units Units