The wavefunction of an electron in a linear accelerator is = (cos )e ikx +(sin )e ikx , where (chi) is a parameter. (i)

The wavefunction of an electron in a linear accelerator is ψ= (cos χ)e^ikx+(sin χ)e^−ikx, where χ (chi) is a parameter. (i) What is the probability that the electron will be found with a linear momentum 

(a) +kh, 

(b) –kh? 

(c) What form would the wavefunction have if it were 90 per cent certain that the electron had linear momentum +kh? 

(d) Evaluate the kinetic energy of the electron.