if the initial velocity of the ions as they enter the spectrometer is increased, will the spacing between where the 235U and 238 U ions strike increase, decrease, or stay the same?
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Predict/Calculate REFERRING TO EXAMPLE $22-7$ Suppose we change the initial speed of $^{288} \mathrm{U}$, leaving everything else the same. (a) If we want the separation distance to be zero, should the initial speed of $^{238} U$ be increased or decreased? Explain. (b) Find the required initial speed.
Suppose some ${ }^{235} \mathrm{U}^{+}$ ions are present in the beam. They have the same charge as the ${ }^{238} \mathrm{U}^{+}$ ions but a smaller mass (approximately 0.98737m). (a) With what speed do the ${ }^{23} \mathrm{U}^{+}$ ions emerge from the accelerating plates, assuming ${ }^{238} \mathrm{U}^{+}$ ions emerge with speed $v ?$ (b) Sketch the trajectory of ${ }^{235} \mathrm{U}^{+}$ ions inside the velocity selector. (c) Now the velocity selector is removed. ${ }^{238} \mathrm{U}^{+}$ ions move in a circular path of diameter $D$ in the uniform magnetic field. What is the diameter of the path of the ${ }^{235} \mathrm{U}^{+}$ ions?
Suppose some ${ }^{238} \mathrm{U}^{2+}$ ions are present in the beam. They have the same mass $m$ as the ${ }^{238} \mathrm{U}^{+}$ ions but twice the charge $(+2 e)$. (a) With what speed do the ${ }^{238} \mathrm{U}^{2+}$ ions emerge from the accelerating plates, assuming ${ }^{238} \mathrm{U}^{+}$ ions emerge with speed $v ?$ (b) Sketch the trajectory of ${ }^{238} \mathrm{U}^{2+}$ ions inside the velocity selector. (c) Now the velocity selector is removed. ${ }^{238} \mathrm{U}^{+}$ ions move in a circular path of diameter $D$ in the uniform magnetic field. What is the diameter of the path of the ${ }^{238} \mathrm{U}^{2+}$ ions?
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