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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.
Axioms: It is possible to construct a utility index which can be used to predict choice in uncertain situations if the consumer conforms to the following five axioms: • A
concept of risk analysis
Explain why each of the following factors may influence the own price elasticity of demand for a commodity. (i) Consumer preferences, that is, whether consumers regard the commodi
Name the five types of capital. The five types of capital are: natural capital, manufactured capital, human capital, social capital and financial capital.
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
Ben prefers the mixed consumption basket x+y to either 2x alone or 2y alone. But as between the latter baskets, he would rather have the 2x. Do the fact stated indicates the axiom
what is production possibility curve?
how to find opportunity cost on PPc
Marginal Utility and Indifference Curve - If the consumption of a product moves along an indifference curve, additional utility derived from the increase in consumption of sing
Low levels of productivity: In addition to low standards of living, developing countries are characterized by relatively low levels of labour productivity. Throughout the dev
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