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A cyclotron is used to produce a beam of high-energy deuterons that then collide with a...

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Physics

A cyclotron is used to produce a beam of high-energy deuteronsthat then collide with a target to produce radioactive isotopes fora medical procedure. Deuterons are nuclei of deuterium, an isotopeof hydrogen, consisting of one neutron and one proton, with totalmass 3.34×10−27kg. The deuterons exit the cyclotron with a kineticenergy of 5.00 MeV .

1. What is the speed of the deuterons when they exit? Expressyour answer with the appropriate units.

2. If the magnetic field inside the cyclotron is 1.25 T, what isthe diameter of the deuterons' largest orbit, just before theyexit? Express your answer with the appropriate units.

3. If the beam current is 350 μA how many deuterons strike thetarget each second? Express your answer as the number of thedeuetrons.

Answer & Explanation Solved by verified expert
3.9 Ratings (498 Votes)
1We have the kinetic energy of the deuteron when theyexitsinceGiven the mass of the deuteronLet the velocity of deuteron when they exit beSokinetic energy of deuteronieequating kinetic energySoVelocity of the deuteron when exit2We have during the time of exit of the deuteron    See Answer
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