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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.
An economist's view of costs contains both explicit and implicit costs. Explicit costs are accounting costs, and implicit costs are the opportunity costs of an allocation of resou
The marginal rate of substitution (MRS) quantifies the quantity of one good a consumer will sacrifice to get more of the other good. – It is calculated by the slope of the indif
Employer’s Estimates of Future Manpower Requirements One of the parameters of demand for employment in a firm or a factory or an establishment is the level of capital investme
how does economics bridge the gap between economic teory and practise
a project report on marshalls marginal utility analysis
Why is it true that shortages usually occur mainly when price controls are in effect? In the nonexistence of price controls the shortage generally goes away quickly because price
During the 1990s, technological advance reduced the cost of computer chips. Explain, with the use of supply and demand diagrams, how the following markets are affected in terms of
What is return on investment? Return on investment is the profit earned by investing in some business or some project, for instance investment in stock exchange. Profit earned
ADVANTAGES AND DIS ADVANTAGES OF MONOPSONY
Homework 4 Q1. Suppose a consumer has utility function (u) = xy where x and y are amounts of two commodities that this consumer consume. Suppose this consumer’s income is $120, pri
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