## Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

$8.35 \times 10^{4} volt$
Initial speed of an $He^{+}$ ion = 0 Loss in energy = Gain in energy; $e\Delta V=KE_{f}-KE_{i}$ $e\Delta |V|=\frac{1}{2}m_{He^{+}}v_{He^{+}}^{2}-0$ $\Delta |V|=\frac{\frac{1}{2}m_{He^{+}}v_{He^{+}}^{2}}{e}$ $\Delta |V|=\frac{{\frac{1}{2}4m_{p}v_{He^{+}}^{2}}}{1.6 \times 10^{-19}}$ $\Delta |V|=\frac{1}{2}\times \frac{{ 4\times 1.67 \times 10^{-27} \times(2\times 10^{6})^{2}}}{1.6 \times 10^{-19}}$ $\Delta |V|=8.35 \times 10^{4} volt$