Imagine we deliver a sinc pulse instead of a box pulse to on resonance with our la nuclei in a Bo = 0.5T magnetic field. What is the minimum duration of the center lobe of this sinc pulse which ensures the ub nuclei experience no excitation?

Q: Calculate the Coulomb barrier height for two 7Li nuclei that are fired at each other with the same…

A:

Q: The mass difference between two isotopes is sometimes just a neutron mass. The spectrometer should…

A:

Q: Determine the Larmor frequency for the free hydrogen nuclei in the following magnetic field…

A:

Q: From the known atomic masses (nndc website), compute the Q-value of the decay 230Th → 226Ra + ?…

A: T90230h → R88226a + α The mass of the parent nuclei Thorium is mTh = 230.0331338 u The mass of…

Q: Consider the 6429Cu nucleus. Find approximate values for the following. (a) radius fm (b) volume m3…

A: The nuclear radius can be approximated by the formula- R=r0(A)13, where r0=1.25 fm           A is…

Q: A nucleus of ²³⁶U undergoes fission and splits into two fragments ¹⁴⁰Xe and ⁹⁶Sr. Assume that all…

A: We know: The sphere must be touching when the potential energy is the maximum. The number of protons…

Q: An a grain with a kinetic energy of 5 MeV approaches an Au (gold) nucleus with the sighting…

A: Given, The energy of the alpha particle T=5 MeV=5×106 eV Zα=2ZAu=79rAu=7 fm = 7×10-15 m

Q: Armor-piercing shells with depleted uranium cores are fired by aircraft at tanks. (The high density…

A: Given,

Q: Keeping into consideration the shell-model of nucleons, a) calculate the angular momentum of each…

A:

Q: The nucleus 33S has I=3/2 and γN = 2.054 x 107 T-1 s-1. Calculate the energies of the nuclear spin…

A:

Q: Calculate the binding energy per nucleon for Mo (Mnuc = 97.905409u). Estimate the nuclear binding…

A: Binding energy as the name suggests is the amount of energy required to keep all the nucleons inside…

Q: Mg, dMg are all stable. Draw energy-level diagrams for these nuclei and use the dia grams to explain…

A: The Energy level diagram of 12M24 is given below.

Q: The detail observable using a probe is limited by its wavelength. Calculate the energy of a γ -ray…

A: Given data The wavelength of the γ-ray photon is given as λ=1×10-16 m.   The mathematical…

Q: Are the nuclear spins of the following nuclei integral or half-integral: 3He, 6Li, 7Li, 18F, 19F?

A: Given information: The nuclei are He3, Li6, Li7, F18, and F19

Q: What fraction of the upper laser decay time, Y21 would the pumping rate, Гоз ,need to be greater…

A: The pumping rate is directly proportional to the coefficient of stimulated emission B21 R α B21R=B21…

Q: When fewer than 3.75 × 106 americium nuclei remain, the ionization smoke detector will not operate…

A: Given that:The half-life of Americium-241The threshold below which the ionization smoke detector…

Q: Calculate the radius of 58 Ni , one of the most tightly bound stable nuclei.

A:

Q: (a) Show that the energy associated with the strong forcebetween nucleons in a nucleus is…

A: a) The nuclear force is a short range, that it’s the nucleons only interacts with the nearest…

Q: Medical gamma imaging is generally done with the technetium isotope 99Tc*, which decays by emitting…

A:

Q: What is the binding energy per nucleon of the rutherfordium isotope Rf? Here are some atomic masses…

A: Given,

Q: The mass difference between two isotopes is sometimes just a neutron mass. The spectrometer should…

A: Given: Maximum magnetic field obtainable is 2.5 Tesla To find: The velocity of isotope needed Radius…

Q: What are the chemical shifts, i.e., the Larmor frequencies of the hydrogen nuclei in the following…

A:

Q: Question 3. Two nuclei having the same mass mumber are known as isobars. (a)Caleulate the difference…

A:

Q: The detail observable using a probe is limited by its wavelength. Calculate the energy of a γ -ray…

A: The expression for the energy is,

Q: Provide a mathematical proof that a minimum energy of 1.02MeV  is required for pair production to…

A: After pair production electron and positron are formed. The mass of electron and positron are same…

Q: Consider two 3^He and 4^He isotopes of helium (Z=2) (d) Explain whether the fusion reaction of 3^He…

A: The given reaction is 3He+4He→7Be Mass of 3He, M(3He) = 3.016029 u Mass of 4He, M(4He) = 4.002603 u…

Q: Consider two protons in the 27Al nucleus with their centers located 2.4 fm apart. How strong must…

A: Given: The distance between the two protons is 2.4 m. Introduction: The electrostatic force is…

Q: In this model the first excited states can be produced either   a. by excitation of the unpaired…

A: The number of proton and neutron in nucleus determines the spin and parity of a nuclei. Hence these…

Q: use Heisenberg's uncertainity principle to estimate the kinetic energy (in MeV) of a nucleon bound…

A: Given data: Radius of nucleus is, r=10-15 m.

Q: Cobalt has one stable isotope, 59Co. What are the likely decay modes and daughter nuclei for (a)…

A: (a) Consider the isotope 56Co. The atomic number of the Co is 27. Therefore, the number of neutrons…

Q: The half-life of 27Mg is 9.50 min. initially there were 3.70× 1012 27Mg nuclei present. How many…

A: Given: The half-life of 27Mg t1/2 = 9.50 min At t=0, the number of nuclei of 27Mg, N0 = 3.70× 1012…

Q: The mass difference between two isotopes is sometimes just a neutron mass. The spectrometer should…

A: Given :             The difference in radius = r2-r1=1cm            conventional magnet B = 2.5 T…

Q: Suppose you are producing nanoparticles in a vacuum chamber with a pressure of 150 Pa.  What is the…

A: Given: The vacuum chamber has a pressure of 150 Pa. The temperature of the nucleus is 1473 K.…

Q: 2H is a loosely bound isotope of hydrogen. Calleddeuterium or heavy hydrogen, it is stable but…

A:

Q: Use the uncertainty principle ∆p ∆x > h/2 to calculate the minimum kinetic energy of a nucleon…

A: Given: For H2, mass number is  A=2. We know Uncertainty principle ∆P.∆x>h4π..............(1)…

Q: In Rutherford scattering we noted that angular momentum is conserved. The angular momentum of the…

A: To explain the correct answer given below.