In a nuclear physics experiment, electrons are to be accelerated so as to have de-Broglie wavelength of the order of the diameter of a heavy nucleus `(~​10^(–14) m)`. Determine the momentum of the electron needed to make the wavelength of electrons equal to diameter. Use the classical formula for momentum, `p = m_(0) v` to determine the speed of electrons. Is this speed permissible? Now use the relativistic mass of the electrons in the expression of momentum to find the speed of electrons. Relativistic mass is given by `m = (m_(0))/(sqrt(1-v^(2)//c^(2)))`.
Where `m_(0)` is rest mass and v is speed of the particle.

Answer

No