Question

4. Let β = Nφ , show that as N-> infinite and φ → 0 The...

4. Let β = Nφ , show that as N-> infinite and φ → 0 The intensity → I = 4 Im * ( sin(β/2) / β )^2 Where Im = N^2 * I0

a) show that minimum is at a*sin(θ ) = m λ and maximum is at a*sin(θ ) = (m+1/2) λ (Intensity drops drastically) Where a is the width of a single slit

b)Show that if I: intensity inversely square decreases of r , distance from the source, then he amplitude inversely decreases of r.

Science   Advanced-Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
(8.0.10) In class we showed that intensity distribution for single slit diffraction is given by I(θ)...
(8.0.10) In class we showed that intensity distribution for single slit diffraction is given by I(θ) = I(0) [sin( β/ 2)/( β/2)]. ( β = ka sin(theta) , "a" is the slit width and k = 2π/λ ). (a) Show that the maxima in the diffraction pattern occur at θ for which tan( β/ 2) = β/2. (b) An obvious solution to this equation is β = 0, which corresponds to the central maximum. By sketching the functions tan(β/2) and...
1. Given β = XT 1×nAn×nXn×1, show that the gradient of β with respect to X...
1. Given β = XT 1×nAn×nXn×1, show that the gradient of β with respect to X has the following form: ∇β = X T (A + A T ). Also, simplify the above result when A is symmetric. (Hint: β can be written as Pn j=1 Pn i=1 aijxixj ). 2. In this problem, we consider a probabilistic view of linear regression y (i) = θ T x (i)+ (i) , i = 1, . . . , n, which...
(A) Find an impedance, Z, of an RLC ciruits containing R = 2 , L =...
(A) Find an impedance, Z, of an RLC ciruits containing R = 2 , L = 1 mH, and C = 1 F elements connected in series with with the voltage source E = E0 sin( Dt), where D is the driving frequency. (B) Find the expression for the current I. Plot the current amplitude I0 vs. D and show that it is maximum for D = 1/(LC). We call this maximum a resonance (C) Consider the case with no...
True or False? No reasons needed. (e) Suppose β and γ are bases of F n...
True or False? No reasons needed. (e) Suppose β and γ are bases of F n and F m, respectively. Every m × n matrix A is equal to [T] γ β for some linear transformation T: F n → F m. (f) Recall that P(R) is the vector space of all polynomials with coefficients in R. If a linear transformation T: P(R) → P(R) is one-to-one, then T is also onto. (g) The vector spaces R 5 and P4(R)...
(4) e/m = v/Br (5) B=(N)(I)8μ0/R(√125) , N is the number of turns on each coil,...
(4) e/m = v/Br (5) B=(N)(I)8μ0/R(√125) , N is the number of turns on each coil, I is the current, R is the radius, and μ0 = 4pi x 10-7 Tm/A. (8) v = (2eV/m)^1/2 Using Equations 4, 5, and 8, solve for e/m in terms of r (radius of the path), R (average radius of the coils), V (voltage of the electron source), I (current in the coils), N (number of turns of the coils) and constants. Hint: start...
6) (8 pts, 4 pts each) State the order of each ODE, then classify each of...
6) (8 pts, 4 pts each) State the order of each ODE, then classify each of them as linear/nonlinear, homogeneous/inhomogeneous, and autonomous/nonautonomous. A) Unforced Pendulum: θ′′ + γ θ′ + ω^2sin θ = 0 B) Simple RLC Circuit with a 9V Battery: Lq′′ + Rq′ +(1/c)q = 9 7) (8 pts) Find all critical points for the given DE, draw a phase line for the system, then state the stability of each critical point. Logistic Equation: y′ = ry(1 −...
1. Consider the Markov chain {Xn|n ≥ 0} associated with Gambler’s ruin with m = 3....
1. Consider the Markov chain {Xn|n ≥ 0} associated with Gambler’s ruin with m = 3. Find the probability of ruin given X0 = i ∈ {0, 1, 2, 3} 2 Let {Xn|n ≥ 0} be a simple random walk on an undirected graph (V, E) where V = {1, 2, 3, 4, 5, 6, 7} and E = {{1, 2}, {1, 3}, {1, 6}, {2, 4}, {4, 6}, {3, 5}, {5, 7}}. Let X0 ∼ µ0 where µ0({i}) =...
Question 4: Match the words (from the options below) to the statements by inserting the corresponding...
Question 4: Match the words (from the options below) to the statements by inserting the corresponding capital letter in the blank. No word is used more than once (2 Points for (i) to (xii), 1 point for (xiii). (i) If you double the frequency of electromagnetic radiation you ______ the energy. (ii) If you double the wavelength of electromagnetic radiation you _____ the energy. (iii) A ____ produces an electric signal when struck by photons. (iv) A ____ produces many...
II(20pts). Short Problems a) The lowest energy of a particle in an infinite one-dimensional potential well...
II(20pts). Short Problems a) The lowest energy of a particle in an infinite one-dimensional potential well is 4.0 eV. If the width of the well is doubled, what is its lowest energy? b) Find the distance of closest approach of a 16.0-Mev alpha particle incident on a gold foil. c) The transition from the first excited state to the ground state in potassium results in the emission of a photon with  = 310 nm. If the potassium vapor is...
1) State the main difference between an ODE and a PDE? 2) Name two of the...
1) State the main difference between an ODE and a PDE? 2) Name two of the three archetypal PDEs? 3) Write the equation used to compute the Wronskian for two differentiable functions, y1 and y2. 4) What can you conclude about two differentiable functions, y1 and y2, if their Wronskian is nonzero? 5) (2 pts) If two functions, y1 and y2, solve a 2nd order DE, what does the Principle of Superposition guarantee? 6) (8 pts, 4 pts each) State...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT