Relation Between Scattering Angles in Lab Frame | Santa Fe College - Edubirdie

University:
Santa Fe College
Course:
PHY 2048 | General Physics 1 with Calculus
Academic year:

2024
Views:

75

Pages:

6
Author:

Jabin F.

Lab frame & C-frame → ViL = Vcm + Vic ViL cos θiL = |Vcm| + |Vic| cos θic ViL sin θiL = |Vic| sin θic tan θiL = Sin θic / (cos θic + |Vcm| / |Vic|) By using L.M & K.E conservation - Vcm = m1 / (m1 + m2) Vic tan θiL = Sin θic / (cos θic + m1 / m2) Similar tan θ2L = Sin θ2c / (cos θ2c + m1 / m2) θic + θ2c = π => tan θ2L = Sin (π-θ1c) / (cos (π-θ1c) + m1 / m2) => tan θ2L = Sin θ1c / (-cos θ1c + m1/m2) Ques 8. Page-98 ... L-frame m1 = m2 => m1/m2 = 1 θ1L + θ2L = ? θ1c + θ2c = π => Sin θ2c = Sin θ1c => cos θ2c = -cos θ1c tan θ1L = Sin θ1c / (cos θ1c + 1) = tan θ1c / 2 Similarly tan θ2L = tan θ2c / 2 => θ1L = θ1c / 2, θ2L = θ2c / 2 => θ1L + θ2L = (θ1c + θ2c) / 2 = π / 2 (option-a) Ques.3 Page - 72 proton mass = mp μ ~ me- mp -> mp / 10 μ < me- if then E = μe^2 / 2(4πε₀)^2 ħ^2 E' = - (μe^4) / 2(4πε₀)^2 ħ^2 = less negative = more value. Ques.15 Page - 70 ³H + e+ -> ²He + ν I (before Absorb.) Ψls(r) Ψloo^H = 1/sqrt(πa₀^3) e^(-γ/a₀) z = 2 Ψls(r) Ψloo^He+ = sqrt(8/πa₀^3) e^(-2γ/a₀) <Ψloo | H | Ψloo^H> = sqrt(8/πa₀^3) ∫(from 0 to infinity) e^(-3γ/a₀) γ^2 dr ∫(from 0 to π) sinθ dθ ∫(from 0 to 2π) dφ = 4√8 ∫ e^(-3r/ao) r^2 dr ao 0 = π^2/ao^3 * (3/ao)^3 = 9π^2/(3^3) P = |<Ψ100|H|Ψ100>|^2 = 9/36 = 1/4 = 512/729 (optim-d) page-69 V(r) = { 0, ra 1/r d²/dr² (rγ) + 2m/h² (E-V(γ))R = 0 d²/dr² (γ) + 2m/h² (E-V(rγ)γR = 0 Inside Hewell let U(r) = γR(γ) d²U/dr² + 2m/h² EU = 0 d²U/dr² + k²U = 0, k² = 2mE/h² U(r) = ASinkr + BCoskr R(r) = A/r Sinkr + B/r Coskr R(γ)|_{r=a} = 0 R(γ)|_{r=0} = 0 R(γ) -> finite R(γ) = A sin kr / r R(γ=a) = A sin ka / r = 0 sin ka = 0 = sin nπ n = 1, 2, 3, ... k = nπ / a for ground state n = 1 (option-a) E = (n^2 * π^2 * h^2) / (2 * m * a^2) E = (π^2 * h^2) / (2 * m * a^2) Here cubic well not possible This problem is for spherical well. Quey.25 ques:25 (0 -> V(γ)) = (i / ρ) * m * ω^2 * γ^2 Rege-67 here V(γ) = (1 / 2) * m * ω^2 * (γ^2 + y^2 + z^2) = (1 / 2) * m * ω^2 * γ^2 = (n + 1/2) * (ħ / mω) <γ^2> = + + = (n_x + 1/2) * (ħ / mω) + (n_y + 1/2) * (ħ / mω) + (n_z + 1/2) * (ħ / mω) (n_x + n_y + n_z + 3/2) * (h_bar / mω) (n + 3/2) * (h_bar / mω) n_x, n_y, n_z = 0, 1, 2, 3, ... for first excited state -> = (1 + 3/2) * (h_bar / mω) = 2.5 * (h_bar / mω)

Related Documents

Relation Between Scattering Angles in Lab Frame

Relation Between Scattering Angles in Lab Frame - Page 1

Relation Between Scattering Angles in Lab Frame - Page 2

Relation Between Scattering Angles in Lab Frame - Page 3

Relation Between Scattering Angles in Lab Frame - Page 4

Relation Between Scattering Angles in Lab Frame - Page 5

Relation Between Scattering Angles in Lab Frame - Page 6

of 6

Recommended Documents

Degeneracy Discriminant Factor

Degeneracy Discriminant Factor

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Maxwell's Velocity Distribution

Maxwell's Velocity Distribution

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Answer Key # 1 The Gibbs Free Energy

Answer Key # 1 The Gibbs Free Energy

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Answer Key

General Physics: Answer Key # 23

General Physics: Answer Key # 23

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Answer Key

Rules for Multiplication

Rules for Multiplication

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Basis Physics Notes

Basis Physics Notes

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Physically meaning of scalar product

Physically meaning of scalar product

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Eigen Value

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Anti Hermitten Operator

Anti Hermitten Operator

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Projection Operator

Projection Operator

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Singular and Non Singular Operator

Singular and Non Singular Operator

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Unitary Operator

Unitary Operator

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

New Documents from this Course

Boolean Function Using NAND

Boolean Function Using NAND

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Actual Standard Johnson Counter

Actual Standard Johnson Counter

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Modulus Study Documents

Modulus Study Documents

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Full-Subtractor Coursework Materials

Full-Subtractor Coursework Materials

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Multiplier - Academic Notes

Multiplier - Academic Notes

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Comparator - Educational Materials

Comparator - Educational Materials

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Ripple Carry Adder

Ripple Carry Adder

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Assignment 2: Q and A

Assignment 2: Q and A

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Answer Key

Sequential Circuit - Study Note

Sequential Circuit - Study Note

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Latch (Temporary Storage of Bits)

Latch (Temporary Storage of Bits)

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Set-Reset Flip-Flop

Set-Reset Flip-Flop

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Delay Flip Flop

Delay Flip Flop

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note