Derive the following relation: h/mec (1 − cos θ) = λ ′ − λ It is...
Derive the following relation: h/mec (1 − cos θ) = λ ′ − λ It is suggested you use the following strategy: First, use the momentum equations and the relation cos2 φ + sin2 φ = 1 to eliminate φ. Next use the energy equation and the relativistic relation E^2 = m^2 c^4 + p^2 c^2 to find an expression for the square of the momentum of the electron that does not depend on v (or γ). Finally, use this expression to eliminate v and γ from the momentum relation.
Homework Answers
Consider the following surface parametrization. x-5 cos(8) sin(φ), y-3 sin(θ) sin(p), z-cos(p) Find an expression for a unit vector, n, normal to the surface at the image of a point (u, v) for θ in [...
Consider the following surface parametrization. x-5 cos(8) sin(φ), y-3 sin(θ) sin(p), z-cos(p) Find an expression for a unit vector, n, normal to the surface at the image of a point (u, v) for θ in [0, 2T] and φ in [0, π] -3 cos(θ) sin(φ), 5 sin(θ) sin(φ),-15 cos(q) 16 sin2(0) sin2(p)216 cos2(p)9 3 cos(9) sin(9),-5 sin(θ) sin(9), 15 cos(q) 16 sin2(0) sin2(p)216 cos2(p)9 v 16 sin2(0) sin2@c 216 cos2@t9(3 cos(θ) sin(φ), 5 sin(θ) sin(φ) , 15 cos(q) 216 cos(φ)...
Derive the expression for the initial velocity v of a ballistic pendulum in terms of the...
Derive the expression for the initial velocity v of a ballistic pendulum in terms of the swept-out angle theta. Use the following equations of momentum and energy conservation... When the projectile and the pendulum stick together, they have total mass m + M and we define their combined velocity to be V⃗ . The relationship from conservation of momentum is: mv = (m + M)V⃗ Conservation of energy requires the initial kinetic energy of the pendulum system to equal the...
could you please solve a and b? Chapier 2i. Note: you needn't derive Kepler's laws-but do...
could you please solve a and b?
Chapier 2i. Note: you needn't derive Kepler's laws-but do mention when you are using them, an describe the physical concepts involved and the meanings behind the variables. u) Consider two stars Mi and M; bound together by their mutual gravitational force (and isolated from other forces) moving in elliptical orbits (of eccentricity e and semi-major axes ai and az) at distances 11 in n and r from their center of mass located at...
Compute the following problems using Math Lab. Instructions: Answer All Questions using MATLAB commands. Question 1....
Compute the following problems using Math
Lab.
Instructions: Answer All Questions using MATLAB commands. Question 1. Create a vector of the even whole numbers between 31 and 75. Question 2. Let x [2516] a. Add 16 to each element b. Add 3 to just the odd-index elcments c. Compute the square root of each element d. Compute the square of each element Question 3. Let x 13 268T and y [4 1 3 5] (NB. x and y should be...
Differention Equations - Can someone answer the checked numbers please? Determinants 659 is the characteristic equation of A with λ replaced by /L we can multiply by A-1 to get o get Now solve fo...
Differention Equations - Can someone answer the checked
numbers please?
Determinants 659 is the characteristic equation of A with λ replaced by /L we can multiply by A-1 to get o get Now solve for A1, noting that ao- det A0 The matrix A-0 22 has characteristic equation 0 0 2 2-A)P-8-12A +62- 0, so 8A1-12+6A -A, r 8A1-12 Hence we need only divide by 8 after computing 6A+. 23 1 4 12 10 4 -64 EXERCISES 1. Find AB,...
Consider an unincorporated firm with a two period (1 and 2) time horizon. At the beginning...
Consider an unincorporated firm with a two period (1 and 2) time horizon. At the beginning of period 1, the firm has a predetermined capital stock, K. Důring period 1, gross investment expenditure, I, financed out of retained earnings, are incurred with the purpose of both maintaining and increasing the capital stock in period 2. In each of the two periods, the capital stock depreciates at a rate 6, so at the beginning of period 2, the firm's capital stock...
Consider an unincorporated firm with a two period (1 and 2) time horizon. At the beginning...
Consider an unincorporated firm with a two period (1 and 2) time horizon. At the beginning of period 1, the firm has a predetermined capital stock, K1 . During period 1, gross investment expenditure, I, financed out of retained earnings, are incurred with the purpose of both maintaining and increasing the capital stock in period 2. In each of the two periods, the capital stock depreciates at a rate δ, so at the beginning of period 2, the firm's capital...
17.1) Show that the retarded field propagator for a free particle in momentum space and the time ...
additional info
17.1) Show that the retarded field propagator for a free particle in momentum space and the time domain: given by θ(te-ty)e-i(Epte-Eqty's(3) (p-q) 17.1 The field propagntor in outline e field propagator in outline 155 he field propagator involves a simple thought experi- our interacting system in its ground state, which we interactin ent. We start with denote w 12). The thought experiment works as follows: we introdu extra particle of our choice the system. point ( in anni...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
B oth 100 Day PH262 Page 1 of 5 Lab #13 AC Circuits, Part 1 RC...
B oth 100 Day PH262 Page 1 of 5 Lab #13 AC Circuits, Part 1 RC & RL, Phase Measurements THEORY The rotating phase representation for series AC circuits should be familiar from textbook and lecture notes A brief outline of the essential points is provided here. If a series RLC circuit is connected across a source of om which is a sinusoidal function of time, then und all its derivatives will also be inside. Sonce all demits in a...
Consider the following surface parametrization. x-5 cos(8) sin(φ), y-3 sin(θ) sin(p), z-cos(p) Find an expression for a unit vector, n, normal to the surface at the image of a point (u, v) for θ in [0, 2T] and φ in [0, π] -3 cos(θ) sin(φ), 5 sin(θ) sin(φ),-15 cos(q) 16 sin2(0) sin2(p)216 cos2(p)9 3 cos(9) sin(9),-5 sin(θ) sin(9), 15 cos(q) 16 sin2(0) sin2(p)216 cos2(p)9 v 16 sin2(0) sin2@c 216 cos2@t9(3 cos(θ) sin(φ), 5 sin(θ) sin(φ) , 15 cos(q) 216 cos(φ)...
could you please solve a and b?
Chapier 2i. Note: you needn't derive Kepler's laws-but do mention when you are using them, an describe the physical concepts involved and the meanings behind the variables. u) Consider two stars Mi and M; bound together by their mutual gravitational force (and isolated from other forces) moving in elliptical orbits (of eccentricity e and semi-major axes ai and az) at distances 11 in n and r from their center of mass located at...
Compute the following problems using Math
Lab.
Instructions: Answer All Questions using MATLAB commands. Question 1. Create a vector of the even whole numbers between 31 and 75. Question 2. Let x [2516] a. Add 16 to each element b. Add 3 to just the odd-index elcments c. Compute the square root of each element d. Compute the square of each element Question 3. Let x 13 268T and y [4 1 3 5] (NB. x and y should be...
Differention Equations - Can someone answer the checked
numbers please?
Determinants 659 is the characteristic equation of A with λ replaced by /L we can multiply by A-1 to get o get Now solve for A1, noting that ao- det A0 The matrix A-0 22 has characteristic equation 0 0 2 2-A)P-8-12A +62- 0, so 8A1-12+6A -A, r 8A1-12 Hence we need only divide by 8 after computing 6A+. 23 1 4 12 10 4 -64 EXERCISES 1. Find AB,...
Consider an unincorporated firm with a two period (1 and 2) time horizon. At the beginning of period 1, the firm has a predetermined capital stock, K. Důring period 1, gross investment expenditure, I, financed out of retained earnings, are incurred with the purpose of both maintaining and increasing the capital stock in period 2. In each of the two periods, the capital stock depreciates at a rate 6, so at the beginning of period 2, the firm's capital stock...
additional info
17.1) Show that the retarded field propagator for a free particle in momentum space and the time domain: given by θ(te-ty)e-i(Epte-Eqty's(3) (p-q) 17.1 The field propagntor in outline e field propagator in outline 155 he field propagator involves a simple thought experi- our interacting system in its ground state, which we interactin ent. We start with denote w 12). The thought experiment works as follows: we introdu extra particle of our choice the system. point ( in anni...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
B oth 100 Day PH262 Page 1 of 5 Lab #13 AC Circuits, Part 1 RC & RL, Phase Measurements THEORY The rotating phase representation for series AC circuits should be familiar from textbook and lecture notes A brief outline of the essential points is provided here. If a series RLC circuit is connected across a source of om which is a sinusoidal function of time, then und all its derivatives will also be inside. Sonce all demits in a...
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