Answer Happy

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A mass spectrograph is used to measure the masses of lons, or to separate ions of different masses. In one design for such an instrument, ions with a mass m and charge 9 are accelerated from rest through a potential difference of V. They then enter a uniform magnetic field that is perpendicular to their velocity and are deflected in a semicircular path of radius R. For this question, assume that the atomic masses f the ions in amu - are the same as their mass numbers. 1 amu=1.66×10-27 kg. a) Derive an equation for the mass of the ion in terms of B, R, 9, & V (voltage). B m= Submit Answer Tries 0/5 b) What potential difference V is needed so that singly ionized 12C ions will have R=0.5 m in a 0.150 T magnetic field? V = Submit Answer Tries 0/5 c) Suppose the beam consists of a mixture of 12C and 14c ions. If V and B have the same value as in part b, should the radius of curvature for 14C be bigger or smaller than that for 12c? Submit Answer Tries 0/5 d) Suppose the beam consists of a mixture of 12C and 14c ions. If V and B have the same value as in part b, calculate the separation of these two isotopes at the detector. Separation d