The discussion revolves around calculating the wavelength associated with an electron given its mass and kinetic energy, specifically 1 mega electron volt. The problem involves concepts from quantum mechanics and classical mechanics, particularly the de Broglie wavelength and kinetic energy equations.
Participants are exploring different approaches to the problem, with some emphasizing the need for relativistic equations due to the high kinetic energy involved. There is recognition of the need to clarify whether classical mechanics or relativistic mechanics should be applied, indicating a productive exploration of the topic.
There is a debate about the appropriateness of using classical mechanics in this context, given the energy levels involved. Some participants note that the educational context may dictate the methods expected to be used.
mounica reddy said:1.given mass of electron = 9.11*10^-31 ... kinetic energy=1mega electron volt
2. Homework Equations :: k.e=1/2mv^2 and λ=h/mv
3. The Attempt at a Solution :: am unable to get it...can anyone ry...
Curious3141 said:Big caution here: if you use classical mechanics to compute the velocity of the electron, you get v > c. This is not correct.
I'm afraid that here, you have to use the relativistic formulae ([itex]\Delta{E} = \Delta{m}c^2[/itex] and [itex]m = \frac{m_0}{\sqrt{1 - \frac{v^2}{c^2}}}[/itex]) to get the answer. You can't use [itex]E_k = \frac{1}{2}mv^2[/itex].
cupid.callin said:Nice catch, i missed that. But its use depends on the level of question ... in basic physics, relativity eqns are usually not used ... Let the OP decide weather he is supposed to use them or not
Usually true, unless the class is learning introductory relativity.cupid.callin said:... in basic physics, relativity eqns are usually not used ...