For an element that exhibits the normal Zeernan effect, the splitting of a spectral line With a wavelength of 422.7 nm is 0.0168 nm when placed in an external magnetic field of 2.00 T. This data can be used to determine the charge to mass ratio of an electron. (a) Write an expression for the ratio of the charge of the electron to its mass in terms of the wavelength A of the spectral line, the magnitude of the difference in wavelength ML between the h split spectral lines, the magnetic field B, and fundamental constants. Use c for the speed of light and h for Planck's constant. Convert any occurrences of h in your expression to 2. II lel' m (b) Calculate the electron charge to mass ratio (in C/kg) using the given data. iii = m For an element that exhibits the normal Zeeman effect, the splitting of a spectral line With a wavelength of 422.7 nm is 0.0168 nrn when placed in an external magnetic field of 2.00 T. This data can be used to determine the charge to mass ratio of an electron. (a) Write an expression for the ratio of the charge of the electron to its mass in terms of the wavelength A of the spectral line, the magnitude of the difference in wavelength A2 between the h split spectral lines, the magnetic field E, and fundamental constants. Use c for the speed of light and h for Planck's constant. Convert any occurrences of h in your expression to 2. IT lel m 6AA X How is the energy difference due to the line splitting related to the wavelength and change in wavelength? How is the energy difference related to the Bohr magneton \"B, magnetic field B, and magnetic quantum number m6? See ifyou can combine these two expressions for the energy difference to obtain an expression for the ratio of the charge to the mass of an electron. (is) Calculate the electron charge to mass ratio (in C/kg) using the given data. li| = 1.422'10*15 X m Make sure you use the given values in your calculation. Check that all values are in SI units. C/kg