question_answer 65)

  A particle A with a mass  is moving with a velocity  and hits a particle B (mass ) at rest (one dimensional motion). Find the change in the de Broglie wavelength of the particle A. Treat the collision as elastic.

Answer:

                  As collision is elastic, hence laws of conservation of momentum and kinetic energy are obeyed. According to law <of conservation of momentum                                 Or                                      ? (i)                 According to law of conservation of kinetic energy                                                 Or                                                   Or                       ?(ii)                 Dividing (ii) by (i), we get                 Or                                                      ? (iii)                 Solving (i) and (iii), we get and