What speed must an alpha particle maintain if it is to remain suspended, relative to Earth's surface, as it travels on a tangent to Earth's surface and perpendicularly through Earth's magnetic field of 50 x 10^-6 T?
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- An lithium nucleus has a velocity of v = (4.76 x 106 m/s) i – (2.75 x 106 m/s) j and travels through a region of space with a uniform magnetic field of B = (0.667 T) k This particle has a charge of +3e = +4.806 x 10 19 C and seven nucleons in the nucleus meaning it has a mass of 7u = 7(1.66 x 1027 kg) = 11.6 x 10-27 kg (a) Find the magnetic force on this particle. (HINT: You can use the cross product or the magnitude and right-hand-rule. If you use the magnitude and RHR, be sure to calculate the magnitude and angle of the velocity first) (b) This force will provide a centripal force on the particle and cause it to circle (or orbit) around the field lines. What would be the radius of this circular path? (c) What is the period of the orbit?1. An alpha particle, charge +2e, mass 6.64 x 10-27 kg travels in a circular path with a radius of 12.0 cm in a uniform magnetic field of magnitude 2.50 T. (a) Draw the trajectory of the alpha particle in the magnetic field on the diagram. (The drawing does not need to be exact, but the shape of the trajectory should be clear.) (b) Find the speed of the alpha particle. (c) What is the kinetic energy of the alpha particle? (d) Through what potential difference would the alpha particle have to be accelerated to acquire this kinetic energy? X X X X X X X x x x X X x x X x x X B X X X X x x x X x x X X X x xA deuteron is accelerated from rest through a 5-kV potential difference and then moves perpendicularly to a uniform magnetic field with B = 1.2 T. What is the radius of the resulting circular path? (deuteron: m = 3.3 x 10-27kg, q = 1.6 x 10-19C)
- Station 4 1. A mass spectrometer can be used to identify unknown particles. A particle with a charge of 1.6 x 1019 was injected at a speed of 1.5 x 10° m/s in a circular path of radius 6.5 cm. The spectrometer's magnetic field is perpendicular to the particle path and has a magnitude of 0.25 T. a. Using the table below, what is the identity of the unknown particle? Isotope m (kg) Hydrogen 1.7 x 1027 Deuterium 3.4 x 1027 Tritium 5.0 x 1027An alpha particle with a charge 2e and mass 4m is moving with velocity v when it enters a magnetic field B at right angles to its direction of motion. A deuteron of charge e and mass 2m also enters the field in the same direction and the same speed. Calculate the difference in radius of motion between the alpha particle and the deuteron in the magnetic field region. Group of answer choices 2mv/eB mv/4eB 0 mv/2eB mv/eBA solar flare erupts in a region where the average magnetic field strength is B= 0.03T; the flare releases an energy E= 2×1024J What was the minimum volume V required to supply enough magnetic energy to fuel the flare?
- Ancient Meat Eating. The amount of meat in prehistoric diets can be determined by measuring the ratio of the isotopes 15N to 14N in bone from human remains. Carnivores concentrate 15N, so this ratio tells archaeologists how much meat was consumed. For a mass spectrometer that has a path radius of 12.5 cm for 12C ions (mass 1.99 * 10-26 kg), find the separation of the 14N (mass 2.32 * 10-26 kg) and 15N (mass 2.49 * 10-26 kg) isotopes at the detector.Trace the trajectory of the electron in the magnetic field. Show the direction of the electron in the field by using an arrow. Determine the diameter of the circle that the electrion makes in micrometers. v = 3*10^4 m/s B = 4.0*10^-2 TUsing the data shown in the table, calculate the path radius of the Ca+ ion. Ca+ path radius: Charge (x10-19 С kg) Mass Isotope |(x10-25 & TOOLS x10 Ca+ 0.666 +1.602 Ca?+ 0.666 +3.204 Ba+ 2.28 +1.602 Ba2+ 2.28 +3.204 Ra+ 3.75 +1.602 Ra2+ 3.75 +3.204 Ra3+ 3.75 +4.806 Using the same data table, match the particles to their Path A path label. Answer Bank Path B Ca²+ Ra3+ Ca+ Path C Path D Ba+ Ra+ Ba2+ Path E Ra2+ Path F Path G
- Suppose you want to identify a bunch of particles using mass spectrometer. First, they are ionized with charge q= +1.6e-19 C. Then the particles pass through the velocity selector with a speed v= 6.7e6 m/s and enters a magnetic field B= 1.4 T. If they hit the detector 0.4 m away from the entry opening, what kind of particle are they? Options are: A. Deuterium (m= 3.34e-27 kg) B. Proton (m= 1.67e-27 kg) C. Helium 4 (m= 6.65e-27 kg) D. Beryllium 8 (m= 13.3e-27 kg)As we’ve seen, protons have an inherent magnetic moment, which has been measured to be 1.4 x 10-26 A • m2. What would be the torque on a proton whose moment was oriented at 90° to a 1.2 T magnetic field?A beam of protons is fired into a region of uniform magnetic field with a speed of 80200 m/s. What uniform magnetic field strength, applied perpendicular to the direction of the beam, will deflect the beam into a circular arc with radius of 5.51 mm? T Save for Later Submit Answer