Calculate the energy in eV of a neutron (mass 1.675  10-27 kg) that has de Broglie wavelength of 7.2  10-12 m 

  (Note: h = 6.626  10-34 J ? s, c = 3.00  108 m/s, and e = 1.602  10-19 C.)

 An unstable particle produced in a high-energy collision is measured to have an energy of 483 MeV and an uncertainty in energy of 29 KeV. Use the Heisenberg uncertainty principle to estimate the lifetime of this particle.  

 (Note: h = 6.626  10-34 J ? s, c = 3.00  108 m/s, and e = 1.602  10-19 C.) 

 small dust particle m = 8.50  10-6 g is being observed under a magnifying lens. Its position is determined to be within 0.0060 mm.  

 (a)Find the velocity limit implied by the uncertainty of its position. 

 

 (b)Assuming the dust particle is moving at this speed, how many years would it take for the particle to move 1 mm? 

 

 Recall that the energy levels of the hydrogen atom are given by  

 En = , where R = 1.097  10-1 m. 

 

 What wavelength photon is emitted when the atom undergoes a transition from the n = 4 to the n = 6 level?