Question

solve last one .include all the steps

Show that if an electron is accelerated through V volts then the deBroglie wave- length in angstroms is given by λ-(1 ) 12 A thermal neutron has a speed v at temperature T 300 K and kinetic energy L. Calculate its deBroglie wavelength. State whether a beam of these neutrons could be diffracted by a crystal, and why? (b) Use Heisenberg's Uncertainty principle to estimate the kinetic energy (in MeV) of a nucleon bound within a nucleus of radius 10-15 m. 3KT The relation for total energy (E) and momentum (p) for a relativistic particle is E cp c where m is the rest mass and c is the velocity of light. Using the relativistic relations E hω and p hk, where ω is the angular frequency and k is the wave number, show that the product of group velocity (vg) and the phase velocity (up) is equal to c, that is upu,-C2

Answer 1

E2 = c2p2 + me 2.7im c h2

21.2In 下) /k 2C4-1/2