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Show that a pulsed spherical wave has a complex wavefunction of the form U(r,t) = (1/r)a(t-r/c) where a(t) is an arbitrary function. An ultrashort optical pulse has a complex wavefunction with a central frequency corresponding to a wavelength λ0 = 585nm and a Gaussian envelope of rms width σ1 = 6fs. How many cycles are contained within the pulse width? If the pulse propagates in free space as a spherical wave initiated at the origin at t = 0, describe the spatial distribution of the intensity as a function of the radial distance at time t = 1ps.
Explain how diminishing returns differ from diminishing returns to scale. The answer should clearly distinguish among SR (one or more factors are fixed) and LR (where all facto
Chapter 13 / PERFECT COMPETITION and THE SUPPLY CURVE 1. Joe Brown’s dairy operates in a perfectly competitive marketplace. Joe’s machinery costs $500 per day and is the only fixe
extenstion n contraction of demand curve
Problem: i) What do you meant by the term ‘economic efficiency'? ii) By using appropriate examples differentiate between fixed and variable costs. iii) Consider different
b) Why is monopoly considered to be generally against public interests, and what policy instruments can be used to regulate monopolies?
A competitive firm produces output using three fixed factors and one variable factor. The firm’s short-run production function is q = 154x – 5x2, where x is the amount of variable
Financial Economies: These are benefits obtained by large firms as a result of contracting credit from financial institutions at lower interest rates than smaller firms. The
a. Generally, there will be a difference between the CV and the EV. Why? b. The change in consumer surplus (?CS) is not "theoretically" justifiable like the CV and EV but it
Q. Explain General Equilibrium? General Equilibrium: Neoclassical economics presumes that production, employment, investment and income distribution are all determined by a con
causes for emergency of monopoly
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