Obtain the binding energy of a particle of mass m in one dimension due to the following short-range potential: V (x) = -Vo 5 (x).
Q: A single alpha particle carries a kinetic energy of 6 MeV. What is the maximum amount of energy (in…
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Q: The nucleus of a lithium atom is Li and its mass is 7.0160 amu. Calculate the binding energy in MeV.…
A: We know, that binding energy is given as:B.E.=Δm×931MeV=(Zmproton+(A−Z)mneutron−Mnucleus)×931MeV…
Q: Find the radius of a nucleus of
A: The radius of nucleus is given as
Q: A positive pion (π+, mass: m = 2.50 × 10-28 kg) at rest decays into a positive muon (μ+, mass: m₁ =…
A: Mass of positive pion, 𝑚𝜋=2.50×10−28𝑘𝑔Mass of positive muon, 𝑚𝜇=1.88×10−28𝑘𝑔Using the…
Q: a) Find the speed an alpha particle requires to come within 3.2 x 10-14m of a uranium nucleus.…
A: Charge on alpha particle Z1=2, atomic number of Uranium Z2=92 and distance up to which the alpha…
Q: In the analysis of a nuclear reaction, seientists identify the rest masses of all reactants and…
A: the reaction energy
Q: An alpha particle undergoes inelastic scattering by a C-12 nucleus at an angle of 60◦. What fraction…
A: Solution:- α‐particle mass =4 mIntial velocity og neclues is ucollision velocity of…
Q: A 1.67*10^-27 kg neutron is traveling at (8.0x10^6) m/s. How many Joules of kinetic energy does it…
A: Given: The mass of the neutron is 1.67x10-27 kg. The speed of the neutron is 8x106 m/s.
Q: Outside the nucleus, the neutron itself is radioactive and decays into a proton, an electron, and an…
A: Let N0 be the initial No. of neutrons of half life T=10.4 min we know, N=N0e-λt......(1) where, λ…
Q: Neptunium-237 decays through alpha decay and forms protactinium. Estimate the kinetic energy of the…
A: Alpha decay is one of the three main forms of radioactive decay. In alpha decay, the unstable…
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Q: The unified atomic mass unit is defined to be 1 u = 1.6605×10−27 kg . Verify that this amount of…
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Q: the deuteron given that the first line in the Lyman series of 1H lies at 82281.476 cm−1. Then,…
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Q: Use energy methods to calculate the distance of closest approach for a head-on collision between an…
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Q: A state-of-the-art proton decay experiment is expected to detect 44% of the proton decays in a body…
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Q: A certain medium has the following properties: Σs = 0.1 cm−1,Σa = 0.01 cm−1. a) What is the…
A: Given, ∑s=0.1cm-1∑a=0.01cm-1 ∑Total=∑s+∑a∑Total=0.1+0.01 ∑Total=0.11cm-1 a. Probability,…
Q: In a scattering experiment, an alpha particle A is projected with the velocity uo = -(600 m/s)i +…
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- Large amounts of depleted uranium (238U ) are available as a by-product of uranium processing for reactor fuel and weapons. Uranium is very dense and makes good counter weights for aircraft. Suppose you have a 4000-kg block of 238U . How many calories per day are generated by thermalization of the decay energy?A beam of 6.76 MeV protons is incident on a target of 2713Al. Those that collide produce the following reaction. p + 2713Al 2714Si +1 + n (Neutral 2714Si has mass 26.986705 u.) Ignoring any recoil of the product nucleus, determine the kinetic energy of the emerging neutrons. answer in MeVAnother component of the strong nuclear force is transmitted by the exchange of virtual K-mesons. Taking K-mesons to have an average mass of 495 MeV/c2 , what is the approximate range of this component of the strong force?
- In class I derived the ordinary nuclear density to be about 0.138 u/fm3. A neutron star is a collapsed star that contains neutrons in a highly compactified state, so its average density is higher. Assume a neutron star is spherical and has an average density which is about twice the ordinary nuclear density. If it is 50% heavier than the Sun, what would be its radius? (Given: mass of sun = 2*1030 kg, 1 u = 1.66*10-27 kg.) A) 14.6 km B) 11.6 km C) 10.1 km D) none of these.A state-of-the-art proton decay experiment is expected to detect 47% of the proton decays in a body of water. Assuming protons have a lifetime of 1031 years, how many m3 of water would you need in order to see 6 decays per month? (Assume a "month" is one-twelfth of a year.)Outside the nucleus, the neutron itself is radioactive and decays into a proton, an electron, and an antineutrino. The half-life of a neutron (mass = 1.675 × 10-27 kg) outside the nucleus is 10.4 min. On average, over what distance x would a beam of 7.04-eV neutrons travel before the number of neutrons decreased to 75.0% of its initial value? Ignore relativistic effects. X = i
- What is β for a particle with (a) K = 5.29 E0 and (b) E = 5.29 E0?On absorption of a single neutron, plutonium Pu-239 can undergo fission into xenon Xe-134 plus zirconium Zr-103 plus three neutrons. The masses of these nuclei are, mpu-239 = 239.052 amu, mxe-134 = 133.905 amu, and mzr-103 = 102.927 amu. Calculate the energy given off in this nuclear reaction.d) Using the SEMF show that the neutron separation energy S, is given approximately by 1-2A + 4Z A 2as 3A¹/3 ac Z² + 3 A4/3 Snav You may use the approximations Z(Z − 1) ≈ Z², A(A − 1) ≈ A² and (A − 1)" ≈ An — nA¹-1, and ignore the pairing term. + as