A particle with unknown charge q and mass m is placed between the plates of a capacitor, as shown below. A potential difference AV is applied between the capacitor plates. The particle exits the plates through a small hole, and then enters a region with a uniform magnetic eld 3, which points into the page. The particle is detected a horizontal distance d away from the slit, as shown below. XXXXXXXX XXXXXXXX a. What is the particle's velocity 1; when it leaves the capacitor? Express this in terms of g, m, AV, and any relevant constants. b. Find the distance d where the particle is detected in terms of c, B, m, g, and any relevant constants. c. What is the chargeto-mass ratio, q/m of this particle? Express in terms of AV, B,d, and any other relevant constants or parameters. (Note: this is how the charge-to-rnass ratio of the electron was rst measured!)