An alpha particle of kinetic energy 1.68 10-12 J is shot directly toward a platinum nucleus from a very large distance. What will be the distance of closest approach? The electric charge of the alpha particle is 2e and that of the platinum nucleus is 78e. Treat the alpha particle as a point particle, and the nucleus as a spherical charge distribution of radius 5.10 10-15 m, and disregard the motion of the nucleus.
m = ?
An alpha particle of kinetic energy 1.68 10-12 J is shot directly toward a platinum nucleus...
Alpha particles which have a charge +2e and mass 6.64 x 10-27 kg are initially at rest and are fired directly at a stationary platinum nucleus (charge +78e) at a speed of 2.75 x 10 m/s. Determine the distance of closest approach (in fm) before the alpha particle reverses direction. Assume the platinum nucleus remains stationary. Assume the alpha particles are initially very far from a stationary platinum nucleus. fm
In a Rutherford scattering experiment, an α-particle (charge = +2.00e) heads directly toward a gold nucleus (charge = +79.0e). The α-particle had a kinetic energy of 7.95 MeV when very far (r → ∞) from the nucleus. Assuming the gold nucleus to be fixed in space, determine the distance of closest approach. (Hint: Use conservation of energy with PE=keq1q2/r).
An alpha particle with kinetic energy 12.0 MeVmakes a collision with lead nucleus, but it is not "aimed" at the center of the lead nucleus, and has an initial nonzero angular momentum (with respect to the stationary lead nucleus) of magnitude L=p0b, where p0 is the magnitude of the initial momentum of the alpha particle and b=1.20×10−13 m . (Assume that the lead nucleus remains stationary and that it may be treated as a point charge. The atomic number of...
An alpha particle with kinetic energy 13.0 MeV makes a collision with lead nucleus, but it is not "aimed" at the center of the lead nucleus, and has an initial nonzero angular momentum (with respect to the stationary lead nucleus) of magnitude L=p0b, where p0 is the magnitude of the initial momentum of the alpha particle and b=1.30×10−12 m . (Assume that the lead nucleus remains stationary and that it may be treated as a point charge. The atomic number...
If the alpha particles have an initial kinetic energy of 7.7 MeV, then assuming a head-collision between an alpha particle (helium nucleus with +2e charge) and a gold nucleus (79 protons, so +79e charge), and using conservation of energy at the point of closest approach when all of the alpha particle's kinetic energy is converted to electric potential energy, calculate the approximate distance of closest approach (and thus coarsely estimate the size of the nucleus)
An alpha particle with kinetic energy 11.0 MeV makes a collision with lead nucleus, but it is not "aimed" at the center of the lead nucleus, and has an initial nonzero angular momentum (with respect to the stationary lead nucleus) of magnitude L=p0b, where p0 is the magnitude of the initial momentum of the alpha particle and b=1.50×10−12 m . (Assume that the lead nucleus remains stationary and that it may be treated as a point charge. The atomic number...
An alpha particle with kinetic energy 15.0 MeVmakes a collision with lead nucleus, but it is not "aimed" at the center of the lead nucleus, and has an initial nonzero angular momentum (with respect to the stationary lead nucleus) of magnitude L=p0b, where p0 is the magnitude of the initial momentum of the alpha particle and b=1.40×10−12 m . (Assume that the lead nucleus remains stationary and that it may be treated as a point charge. The atomic number of...
An alpha particle with kinetic energy 13.5 MeV makes a collision with lead nucleus, but it is not "aimed" at the center of the lead nucleus, and has an initial nonzero angular momentum (with respect to the stationary lead nucleus) of magnitude L= p 0 b , where p 0 is the magnitude of the initial momentum of the alpha particle and b =1.10×10−12 m . (Assume that the lead nucleus remains stationary and that it may be treated as...
An alpha particle is a nucleus of helium. It has twice the
charge and four times the mass of the proton. When they were very
far away from each other, but headed toward directly each other, a
proton and an alpha particle each had an initial speed of 8.2×10−3
c, where c is the speed of light. What is their distance of closest
approach? There are two conserved quantities. Make use of both of
them. (c = 3.00 × 108...
An alpha particle with a kinetic energy of 12.0 MeV makes a head-on collision with a gold nucleus at rest. What is the distance of closest approach of the two particles? (Assume that the gold nucleus remains stationary and that it may be treated as a point charge. A gold nucleus has 79 protons, and an alpha particle is a helium nucleus consisting of two protons and two neutrons. The mass of an alpha particle is 6.64424 x 10-27 kg....