Question: In a certain cyclotron a proton moves in a circle of radius 0.380 m. The magnitude of the magnetic field is 1.40 T. (a) What is the oscillator frequency (in Hz)? (b) What is the kinetic energy (in eV) of the proton?

A cyclotron is used to produce a beam of highenergy deuterons that then collide with a target to produce radioactive isotopes for a medical procedure. Deuterons are nuclei of deuterium, an isotope of hydrogen, consisting of one neutron and one proton, with total mass 3.34×10−27 kg.

Question: Ques 1: Suppose a cyclotron is operated at an oscillator frequency of 12 MHz and has a dee radius R-53 cm. (a) What is the magnitude of the magnetic field needed for deuterons to be accelerated in the cyclotron? The deuteron mass is m-3.34 x 10^ (-27) kg (b) What is the resulting kinetic energy of the deuterons?

A medical cyclotron used in the production of medical isotopes accelerates protons to 6.5 MeV. The magnetic field in the cyclotron is 1.3T . Part A What is the diameter of the largest orbit, just before the protons exit the cyclotron? Part B A proton exits the cyclotron 1.0 ms after starting its spiral trajectory in the center of the cyclotron.

A cyclotron (Fig. 28.16) designed to accelerate protons has an outer radius of 0.350 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 600 V each time they cross the gap between the dees.

Question: A cyclotron’s oscillation frequency is 10 MHz. What should be operating magnetic field to accelerate protons? If the radius of its dees is 60.0 cm, then what will be the kinetic energy of the proton beam produced by the cyclotron?

Question: A cyclotron is designed to accelerate protons (mass 1.67 × 10−27 kg) up to a kinetic energy of 18 × 10−13 J. If the magnetic field in the cyclotron is 4.08 T, what is the radius, in mm (milli), of the dipole magnets in the cyclotron?

Question: A cyclotron is sometimes used for carbon dating. Carbon -14 and carbon -12 ions are obtained from a sample of the material to be dated and are accelerated in the cyclotron. If the cyclotron has a magnetic field of magnitude 2.40 T, what is the difference in cyclotron frequencies for the two ions?

Question: Part A A cyclotron uses a strong magnetic field to keep protons moving in circular orbits. A proton begins in a small-diameter orbit with a low speed, but a weak oscillating electric field gradually accelerates it to higher and higher speeds. This causes the orbit's diameter to slowly increase until the proton exits the machine from a large-diameter orbit.

A cyclotron designed to accelerate protons has a magnetic field of magnitude 0.400 T over a region of radius 2.20 m. (a) What is the cyclotron frequency? rad/s (b) What is the maximum speed acquired by the protons? m/s