In a Rutherford scattering experiment a target nucleus has a diameter of 2.20 10-14 m. The...
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).
1 Rutherford Rutherford discovered the nucleus of the atom by firing α particles at gold foil. An a particle has a charge of q+2e and a mass of m 6.64 102 kg. A gold nucleus has charge of Q = +79e. You may ignore the motion of the gold nucleus in this problem +2e +79e Suppose an a particles is traveling directly toward a gold nucleus. If the speed of the a particle is 1.9-107 m/s when it is 1...
The Rutherford scattering formula breaks down (i.e. fails to describe the data) if the incoming alpha particles actually enter the nucleus. Nuclear radii (in meters) have been found to be approximated by the formula R=(1.12x10^-15)A^1/3 where A is the atomic mass number.. Beyond what kinetic energy (in MeV) would an alpha particle scattering off of a Silicon nucleus no longer be described by the Rutherford formula? (Use the formula above for both the Silicon and the Helium nucleus and explore...
Alpha particles have a mass of mα=6.64×10−27 kg.mα=6.64×10−27 kg. Calculate the de Broglie wavelength λ1λ1 of an alpha particle that has a kinetic energy of K1=1.30×10−13 J.
Problem 2 Compton Effect a) In a Compton scattering experiment the wavelength of the incident x-rays is 7.078 10-2 [nm] while the wavelength of the outgoing x-ray is 7.314 10-2 [nm]. At what angle was the scattered radiation measured? b) In a Compton scattering experiment a detector is set at an angle of 57°. What must the frequency of the incoming x-rays be in order to produce a final x-ray with a frequency 1% less than the initial frequency? Problem...
A particle has a de Broglie wavelength of 4.90x10^-10 m. Then its kinetic energy is cut in half. What is the particle's new de Broglie wavelength, assuming that relativistic effects can be ignored?
1 Rutherford Rutherford discovered the nucleus of the atom by firing a particles at gold foil. An a particle has a charge of q+2e and a mass of m6.64 10-27 kg. A gold nucleus has charge of +79e. You may ignore the motion of the gold nucleus in this problem +2e +79e Suppose an a particles is traveling directly toward a gold nucleus. If the speed of the particle is v-19-107 m/s when it is 1 m from the gold...
In 1911, Ernest Rutherford and his assistants Geiger and Marsden conducted an experiment in which they scattered alpha particles (nuclei of helium atoms) from thin sheets of gold. An alpha particle, having charge +2e and mass 6.64 10-27 kg, is a product of certain radioactive decays. The results of the experiment led Rutherford to the idea that most of an atom's mass is in a very small nucleus, with electrons in orbit around it. Assume an alpha particle, initially very...
In 1911, Ernest Rutherford and his assistants Geiger and Marsden conducted an experiment in which they scattered alpha particles (nuclei of helium atoms) from thin sheets of gold. An alpha particle, having charge ÷2e and mass 6.64 × 10-27 kg, is a product of certain radioactive decays. The results of the experiment led Rutherford to the idea that most of an atom's mass is In a very small nucleus, with electrons in orbit around it. Assume an alpha particle, initially...
A particle has a de Broglie wavelength of 2.1 x 10-1°m. Then its kinetic energy increases by a factor of 3. What is the particle's new de Broglie wavelength, assuming that relativistic effects can be ignored? Number 1.62e-10 unitsym the tolerance is +/-2%