Suppose Fuzzy, a quantum-mechanical duck, lives in a world in which h=2m Js. Fuzzy has a mass of 2.00 kg and is initially known to be within a pond 1.00 m wide. What is the minimum uncertainty in the component of the duck's velocity parallel to the width of the pond?
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- The velocity of a proton in an accelerator is known to an accuracy of 0.250% of the speed of light. What is the smallest possible uncertainty in its position in meters?(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.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
- A proton is accelerated to a speed of 2.10*10E5ms. If the uncertainty in the measured speed is 5% what is the mimum uncertainty in the position of the proton?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 UnitsIn a lab a scientist tries to measure the location and speed of an electron. The position measurements are found to have an uncertainty of 5.01 x 10-11 m (this is 0.0501 nm). What is the smallest possible uncertainty in velocity? An electron has a mass of 9.11 x 10-31 kg and Planck's constant is 6.63 x 10-34 J*s