A proton is confined within an atomic nucleus of diameter 4 fm (1 fm = 10-15 m). Estimate the uncertainty in speed for a proton in the nucleus.

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?

What 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?

(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.

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

An atom is in an excited state for 4.00 us before moving back to the ground state. Find the approximate uncertainty in energy of the photon in units of 10¹¹ eV. (A) 8.23 (B) 3.78 (C) 4.97 (D) 5.49 (E) 6.17