An electron is accelerated from rest through a potential difference of 100 V. Find: (i) the wavelength associated with (ii) the momentum of and (iii)…

Finding Wavelength & $\displaystyle 1$

Finding Momentum & $\displaystyle 1$

Finding Velocity & $\displaystyle 1$

$$\begin{aligned} \lambda & =\frac{1 \cdot 23}{\sqrt{V}} \mathrm{~nm}=\frac{1.23}{\sqrt{100}} & =$\displaystyle 0$ \cdot $\displaystyle 123$ \mathrm{~nm} \end{aligned}

$$(ii) $\displaystyle p=\frac{h}{\lambda}$

$$\begin{aligned} & =\frac{$\displaystyle 6.63$ \times $\displaystyle 10$^{-$\displaystyle 34$}}{$\displaystyle 0.123$ \times $\displaystyle 10$^{-$\displaystyle 9$}} & =$\displaystyle 5.4$ \times $\displaystyle 10$^{-$\displaystyle 24$} \mathrm{~kg} \mathrm{~m} \mathrm{~s}^{-$\displaystyle 1$} \end{aligned}

$$(iii) $\displaystyle v=\frac{p}{m}$

$$v=\frac{$\displaystyle 5.4$ \times $\displaystyle 10$^{-$\displaystyle 24$}}{$\displaystyle 9$ \cdot $\displaystyle 1$ \times $\displaystyle 10$^{-$\displaystyle 31$}}