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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.
In the table below are given the output (X), T.C., and Price for a firm. Complete the following table, and then answer the questions at the bottom of the table. X T.C P=A.R
Illustrate the measurement of inputs and outputs in production technology? Measurement of Inputs and Outputs in Production Technology This is generally most satisfactory to
Gibb''s energy In every chemical system, the substance moves in a direction in which there is a decrease in free energy, for example i.e. ?G is negative. G = H - TS where, G is
2. Suppose the price of printing paper for digital cameras has recently risen by 10 percent due to an increase in the cost of materials used in the finish for the paper. As a resu
What are the main causes of unemployment? Two main paths are available; demand-deficient unemployment and real wage unemployment. After explaining unemployment (percentage o
A firm has a short-run production function defined by: Q = -. 02L 2 + 8L What is the short run demand curve for labour (L) in terms of the market wage rate (w), if
assignment on consumer equilibrium
Question 1: a. What is the supposed rationale for subsidising higher education in various developing countries? b. Do you think there is a legitimate rationale to the abov
Total cost curve (TC) is obtained by adding up vertically total fixed cost and total variable cost curves because the total cost is sum of total fixed cost and total variable cost
Why is the concept of scarcity relevant to both LDC s and MDC s? All societies throughout time have wrestled with the basic economic conundrum of having needs that cannot be me
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