In a Rutherford scattering experiment a target nucleus has a diameter of 2.20 10-14 m. The...
1.The nucleus of a hydrogen atom is a single proton, which has a radius of about 1.6 10-15 m. The single electron in a hydrogen atom normally orbits the nucleus at a distance of 5.2 10-11 m. What is the ratio of the density of the hydrogen nucleus to the density of the complete hydrogen atom? 2.In a Rutherford scattering experiment a target nucleus has a diameter of 2.70 10-14 m. The incoming particle has a mass of 6.64 10-27...
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...
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?
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=1.90×10−13 J.K1=1.90×10−13 J. λ1=λ1= m m Calculate the de Broglie wavelength λ2λ2 of an alpha particle that has a kinetic energy of K2=5.00×10−13 J.K2=5.00×10−13 J. λ2=λ2=
5.) Tunneling Effect (14 pts.) In Rutherford scattering, a
proton of kinetic energy 10 MeV undergoes a head-on collision with
an uranium nucleus. Assume the nucleus to form a square electric
potential barrier of height 13 MeV and width 10 fm. (a) Calculate
the penetration depth of the proton (in fm). (b) Calculate the
transmission coefficient for the proton to reach into the uranium
nucleus (possibly inducing fission).
5.) Tunneling Effect In Rutherford scattering, a proton of kinetic energy 10...
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.
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%
A particle has a de Broglie wavelength of 3.0 × 10-10m. Then its kinetic energy increases by a factor of 4. What is the particle's new de Broglie wavelength, assuming that relativistic effects can be ignored?