(Solved): 4. A mass spectrometer has a velocity selector that allows ions traveling at only one speed to pass ...

4. A mass spectrometer has a velocity selector that allows ions traveling at only one speed to pass with no deflection through slits at the ends. While moving through the velocity selector, the ions pass through a \( 60,000 \mathrm{~N} / \mathrm{C} \) electric field and a \( 0.050 \mathrm{~T} \) magnetic field. The quantities \( v, E \), and \( B \) are mutually perpendicular. a. Determine the speed of the ions that are not deflected. Show your work. b. After leaving the velocity selector, the ions continue to move in the \( 0.050 \mathrm{~T} \) magnetic field. Determine the radius of curvature of the path of a single charged lithium ion whose mass is \( 1.16 \mathrm{x} \) \( 10^{-26} \mathrm{~kg} \). c. How would your answer to the above question change if instead of lithium, the ion were a singly charged fluorine ion with mass of \( 1.6 \times 10^{-26} \mathrm{~kg} \) ? Show your work and explain your reasoning. Draw a diagram if you think it will be helpful.