Chapter 39, Problem 39.69P

(a)

To determine

To show: that the speed of an electron that has a de Broglie wavelength is $v=\frac{c}{\sqrt{1+{\left(\frac{mc\lambda }{h}\right)}^2}}$.

(b)

To determine

The expression for the constant $\Delta$ in the simplified equation of velocity $v=\left(1-\Delta \right)c$ when $\lambda$ is smaller compared to $\frac{h}{mc}$.

(c)

To determine

The velocity of the electron and the value of the constant $\Delta$.