4) An interstellar dust particle of mass 15.0 ug and charge 0.250 nC is moving in a region where cosmic magnetic field of magnitude 1.2 x 10-9 T is present. Determine the time it takes the particle to complete one full revolution of circular orbit.
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- The maximum radius of a cyclotron is 2m used to accelerate protons in a magnetic field of 3T.The gained kinetic energy of a proton is (m,=1.67x10-27 kg) Select one: O a. 2.75x10-10J O b. 2.75x10-37 J O c. Zero O d. 5.5x10-10JA proton beam accelerated by a 100 kV potential difference enters a region where there is a 0.1 T magnetic field at right angles to the beam. i) Calculate the radius of curvature of the beam in the magnetic field region. ii) Sketch the trajectory of the proton beam and state how the velocity of the protons has been affected by the magnetic field.An object with a charge of +0.3 C moves through a magnetic field of strength 40 T with a velocity of 200m/s as shown. How much force does the magnetic field apply on the particle?
- 3) Recall that we can analyze the nature of particles with a velocity selector and mass spectrometer. Suppose we know that the charge of the particle we're experimenting with is that of an electron but we don't know their speed and we don't know their mass. a) The velocity selector is constructed to have a magnetic field of 0.157 pointing into the paper plane and an electric field of 70N/C pointing downward. What is the speed of negatively charged particles if they don't experience any deflection? b) Suppose that those particles that are not deflected then enter a magnetic field of 37 pointing into the plane (no electric field). If we measure a diameter of the circular orbit in this magnet field of 1cm what is the mass of the particle?5) A beta particle emitted by radioactive C-14 passes through a uniform magnetic field with magnitude 1.60 T. The beta particle is moving up along the screen with a speed equal to 86.3% of the speed of light c, and the uniform field points to the right. a) In what direction will the beta particle be deflected? Explain briefly how you got your b) answer. s What will be the magnitude of the magnetic force (in N) acting on the beta particle? Show your work. Without doing another calculation, what magnitude of magnetic force would an alpha particle, moving with the same speed as the beta particle, experience in this magnetic field? Explain your answer briefly.At the Fermilab accelerator in Weston, Illinois, singly charged ions with momentum 3.3 × 10−16 kg m/s are held in a circular orbit of radius 1.00 km by an upward magnetic field. What B field must be used to maintain the ions in this orbit? (qion = 1.60 × 10−19 C)
- A cyclotron is a machine that can be used to accelerate charged particles to achieve large kinetic energies. The resulting beams of highly energetic particles then can be used for many medical applications, including Proton Therapy (a more precise form of "radiation" used in the treatment of some cancers). A description of the cyclotron can be found in section 19.3 of the text. If a proton (of mass 1.673x10-27kg) is accelerated to its maximum velocity inside a dee with radius 2.08cm (this is the radius you would use for the "r" term in the centripetal acceleration), and if the magnetic field has a magnitude of 2.44x10-2T, what is the resulting velocity of the proton in units of km/s (kilometer per second)?A 3.5 mC charge moves with a speed of 10,000 m/s in a magnetic field of 0.5 T. How much force is exerted on the charge?