Accelerated twice per rotation by a potential of v=25 kv. (a) if the radius of the cyclotron is 2 meter, what is the maximum energy of the deuteron? express your answer in joules (the deuteron mass is 3.34×10−27kg) b)starting from a negligibly small velocity, how many full rotations does the deuteron need before it reaches this maximum energy? c) what is the time it takes for the deuteron to make one complete rotation when its energy is about 500 kev and when it is about 5 mev? ignore possible relativistic effect

Uranium has two naturally occurring isotopes. 238u has a natural abundance of 99.3% and 235u has an abundance of 0.7%. it is the rarer 235u that is needed for nuclear reactors. the isotopes are separated by forming uranium hexafluoride uf6, which is a gas, then allowing it to diffuse through a series of porous membranes. 235uf6 has a slightly larger rms speed than 238uf6 and diffuses slightly faster. many repetitions of this procedure gradually separate the two isotopes. what is the ratio of the rms speed of 235uf6 to that of 238uf6? express your answer to five significant figures.