Deep inelastic scattering. Derive the Callan-Gross relation: 2xF1(x) = F2(x) What value of the mass of the target should be used?
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- Derive the following energy formula for a distinguishable particle system.lume of four males of so ideal monatonic gas What is the change (in Alojoules, kJ) of the 32. A cannon fires projectiles over level ground at 140 m/s. What is the smallest angle of fire above the ground at which the projectile may be fired to land 1500 meters away? noitsiboz (a) 54.4 (b) 24.3 (c) 36.5 (d) 39.6 (e) None of these ese Yeah eurimequest 19 bib asonge 88.2 (0) 423 (4) PES (0) 011 (6) send to soon (5)The probability density function of the discrete random variable X is given as follows. px (0) = 4c, px (1) = 3c, px (2) = 2c, px(3) = c P(X > E[X]) find the probability FIND THE VARIANCE, YES(X).
- Consider a uniform source of neutrons in a diffusive, non-absorbing medium located between two concentric spheres of radii a and b > a. The inner part of the sphere of radius a contains a perfectly absorbing material; the outer surface of the sphere of radius b is a perfect mirror (albedo equal to one). Derive an expression for the flux between a and b.P-4 Please help me with this problem very clearly with step by step explanation.) The Rayleigh number is defined as gpaAT® Ra
- Be-H is given -ur In the Born approximation, the scattering amplitude f(e) for the Yukawa potential V(r) = by: (in the following b = 2k sin E = h?k? / 2m) 2 | 2mß 2mß 2mß 2mB (a) (b) (c) (d) h? (u? +b?)A water drop of radius 10m is brohen into 1000 equal droplets. Calculate the gain in surface energy. Surface tension of water is 0075 NAm.A real wave function is defined on the half-axis: [0≤x≤00) as y(x) = A(x/xo)e-x/xo where xo is a given constant with the dimension of length. a) Plot this function in the dimensionless variables and find the constant A. b) Present the normalized wave function in the dimensional variables. Hint: introduce the dimensionless variables = x/xo and Y(5) = Y(5)/A.
- 5. a) Find the Green's function for Poisson's equation for the exterior of a sphere of radius a and use it to solve Poisson's equation V₁ = −4лp(r) in the region outside the sphere, i.e. r > a, with the boundary condition (r = a, 0, 0) = F(0, 0), where F(0, 0) is a given function. b) Assume the sphere consists of two metal hemisphered separated by a thin layer of insulator and that the two hemispheres are maintained at potentials +V and -V by a battery inside the sphere. Take p = 0 outside the sphere. Use the formula of part a) to find the potential along the axis above the middle of the hemisphere at potential +V.A particle experiences a potential energy given by U(x) = (x² - 3)e-x² (in SI units). (a) Make a sketch of U(x), including numerical values at the minima and maxima. (b) What is the maximum energy the particle could have and yet be bound? (c) What is the maximum energy the particle could have and yet be bound for a considerable length of time? (d) Is it possible for a particle to have an energy greater than that in part (c) and still be "bound" for some period of time? Explain. ResponsesScattering by perfectly rigid sphere It is helpful to analyze the scattering event by taking some limit. In particular, let us consider the scattering by a perfectly rigid sphere defined as (a,0) = 0 at the boundary r = a.