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- Needs Complete solution with 100 % accuracy. otherwise skip if u can't give complete solution...In free spoce, E (2,t) = 10. sin (wt - 82) ox, (V/m) %3D Show that the overage power po ssing through circular disk with a radius of 15.5 m in the Constant plane z= is IW. (Please write down , explaining all the Steps)Consider a three-dimensional infinite potential well with a quantized energy of Ennyn, (n² + n + n²), where n = 1,2,3, ...,n, = 1,2,3, ..., ng = 1,2,3, and a represents the 2ma2 potential well width in the x, y, and z directions. . Let (n, = 2,n, = 2,ng = 2). What is the probability that an electron exists in the intervals 0sxs, 0sys, and 0 szs?
- Please include detailed steps...especially in the integration part (u-sub)...The wave function for the simple harmonic oscillator is vo(x) = Coe normalization constant, Co. Find the [Hint: [° e-kx dx = 4 2hn А. 4 ma С. D. Vmw. OA. О в Oc. OD. B.Consider a three-dimensional infinite potential well with a quantized energy of Ennyn, A 2ma (n + n + nº), where n = 1,2,3, ..., n, = 1,2,3, .., n̟ = 1,2,3, and a represents the potential well width in the x, y, and z directions. The values of (n, n,n;) for the next higher energy level that is above the lowest energy level can be ?
- Consider a three-dimensional infinite potential well with a quantized energy of Enn,n, %3D (n + ng + n). where n = 1,2,3, ..,n, = 1,2,3, .., n, = 1,2,3, and a represents the 2ma potential well width in the x, y, and z directions. i. The lowest energy level that the electron may occupy is ii. The values of (ng, ny, ng) for the next higher energy level that is above the lowest energy level can be iii. If the electron drops from the energy level in item (ii) to the energy level in item (i), what is the wavelength of a photon that may be emitted if the work function is 0.4 V? Assume a=0.1 iv. Let the wave function has the general form Y(x,y, z) Asin nyy sin sin The value of A would be, v. Let (n, = 2, n, = 2,n, = 2). What is the probability that an electron exists in the intervals Osxs 0sys and o s z s?Write a cogent description of the Bell inequality. Discuss variations and the current status of its experimental verifi cation.The spherical symmetric potential in which a particle is moving is V(r)=Br^5, where ßis a positive constant. what is the relationship between the expectation value of kinetic andpotential energy of particle in stationary state is,
- Suppose that ak > 0 for all k e N and E ak < 0. For each of the following, prove that the given series converges. ak ( a ) ΣΕΙ 1+ k3ak (b) Lk=1 1+ ak Vak (c) Ek=1 k < 0o.Consider a two-dimensional infinite potential well with a quantized energy of h³n² Enxny 2ma² (n² + n²), where n₂ = 1,2,3,..., n₁ = 1,2,3,..., and a represents the potential well width in the x and y directions. The values of (nx, ny) for the next higher energy level that is above the lowest energy level can be? =Legrende polynomials The amplitude of a stray wave is defined by: SO) =x (21+ 1) exp li8,] sen 8, P(cos 8). INO Here e is the scattering angle, / is the angular momentum and 6, is the phase shift produced by the central potential that performs the scattering. The total cross section is: Show that: 'É4+ 1)sen² 8, .
