Q1: The energy of the decay products of a particular short-lived particle has an uncertainty of 0.75 MeV.
(1): What is the smallest lifetime, in seconds, the particle can have?
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Q1: The energy of the decay products of a particular short-lived particle has an uncertainty of...
What is the kinetic energy of the alpha particle in the alpha decay of Polonium-210? What is the kinetic energy of the alpha particle in the alpha decay of Polonium-210? a. 4.24 MeV b. 6.37 MeV c. 2.12 MeV d. 5.30 MeV e. 3.18 MeV What is the energy of a photon that has a wavelength of 41.0 nm? a. 24.2 eVeV b. 27.2 eVeV c. 33.3 eVeV d. 21.2 eVeV e. 30.2 eVeV
What is the minimum uncertainty in energy (in micro-eV) of a particle with average energy 2.1 eV and a lifetime of 1.9 ns. Give your answer to 3d.p.
A relatively long lived excited state of an atom has a lifetime of 3.25 ms. What is the minimum uncertainty (in eV) in its energy?
15. An unstable high-energy particle enters a detector and leaves a track 1.13 mm long before it decays. Its speed relative to the detector was 0.882c. What is its proper lifetime in seconds? That is, how long would the particle have lasted before decay had it been at rest with respect to the detector?
(Figure 1) shows the decay scheme for 137Cs, which has two possible beta decay modes. The first, labeled β1, is a decay directly to the ground state of 137Ba. The second beta decay (β2) is to an excited state 137Ba∗. This excited state subsequently undergoes gamma decay to the ground state. In beta decay, the maximum possible energy of the emitted beta particle is equal to the difference in energy between the initial and final states of the nucleus. The...
(Figure 1) shows the decay scheme for 137Cs, which has two possible beta decay modes. The first, labeled β1, is a decay directly to the ground state of 137Ba. The second beta decay (β2) is to an excited state 137Ba∗. This excited state subsequently undergoes gamma decay to the ground state. In beta decay, the maximum possible energy of the emitted beta particle is equal to the difference in energy between the initial and final states of the nucleus. The...
Cyclotrons are widely used in nuclear medicine for producing short-lived radioactive isotopes. These cyclotrons typically accelerate H^- (the hydride ion, which has one proton and two electrons) to an energy of 5 MeV to 20 MeV. This ion has a mass very close to that of a proton because the electron mass is negligible-about 1/2000 of the proton s mass. A typical magnetic field in such cyclotrons is 2.1 T. What is the speed of a 50 MeV H^-? Express...
3) The disintegration energy Q during a decay must be sharred by the alpha particle and the daughter nucleus in order to conserve both energy and momentum in the decay process. (a) Show that Q and Ka, the kinetic energy of the alpha particle, are related by the expression Q=K,(1+ where My is the mass of the daughter nucleus. (8 pts) (b) Use the result of (a) to find the energy of the alpha particle emitted in the decay of...
In a high-energy collision between a cosmic-ray particle and a particle near the top of the Earth's atmosphere, 120 km above sea level, a pion is created. The pion has a total energy E of 1.35 × 105 MeV and is travelling vertically downward. In the pion's rest frame, the pion decays 35.0 ns after its creation. The rest energy of a pion is 139.6 MeV (a) Calculate the speed of the pion and the Lorentz factor. (10 points) (b)...
There is an uncertainty principle for energy and time ∆E∆t ≥ ¯h/2 . This relationship can be applied to the excited state energies and their lifetimes of atoms and molecules. a) Show that both sides of the expression for time-energy uncertainty relationship have the same units. b) If the lifetime of a molecule at its excited state is 1 nanosecond, what is the uncertainty of the energy (in eV) of this state? c) If a 10-femtosecond laser is used to...