The speed of an electron is measured to within an uncertainty of 2.0 × 104 m/s. What is the size of the smallest region of space in which the electron can be confined?
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- 1. Louis de Broglie postulated all matter has both a particle and wave nature. The wavelength of any matter wave is given by λ = h/p, where p is the linear momentum p = mv and both p and v are vectors. a) World class marathon runners can run at an average pace of about 3.00 min/km. What is the wavelength, momentum and kinetic energy of a 55 kg runner racing at this average speed? b) What is the uncertainty in the runner's velocity if the position is to be determined within one wavelength?is partially correct. The uncertainty in the position of an electron along an x axis is given as 72 pm. What is the least uncertainty in any simultaneous measurement of the momentum component p, of this electron? Number 7.3125 Units kg-m/s or N-sWhat is the kinetic energy of each electron in a beam of electrons if the beam produces a diffraction pattern of a crystal which is similar to that of a beam of 1.00 eV neutrons? (knowing that electron mass is 9.11*10^-31 kg and neutron mass is 1.67*10^-26 kg). What are the specific equations that are being used in this problem?
- 8. An electron is trapped within a sphere whose diameter is 5.20 x 10-15 m (about the size of the nucleus of a medium sized atom). What is the minimum uncertainty in the electron's momentum? kg.m/sGiven: M = 2.25 +- 0.021 rad/s R = 0.180 +- 0.003 m w = 17.5 +- 0.25 rad/s Find the angular momentum L with its uncertaintyAn 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.
- Mehul5. An electron ( me = 9.11 × 10−31 kg ) and a bullet ( m = 0.02 kg) each have a velocity of magnitude 500 m/s, with a precision within 0.01%. In what limits is it possible to determine the position of objects along the velocity direction?What can you conclude from comparing your results for the electron and for thebullet?In 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