(II) Suppose the electric field between the electric plates in the mass spectrometer of Fig. 27–34 is 2.84 x 10⁴ V/m and the magnetic fields are B = B'= 0.58 T . The source contains carbon isotopes of mass numbers 12, 13, and 14 from a long-dead piece of a tree. (To estimate atomic masses, multiply by 1.67 x 10⁻²⁷ kg .) (a) How far apart are the marks formed by the singly charged ions of each type on a detector or photographic film? (b) What if the ions were doubly charged? (c) Does it matter if the ion charge is positive (lost electrons) or negative (gained electrons)? Explain.