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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.
Derivation of compensated demand curve: Hicksian compensated demand function for x 1 is given by x 1 =x 1 (p 1 , p 2 , U), where Hicksian compensated demand curve for a good
What is the role of profits in a market economy? Profits act as an incentive to producers and potential entrepreneurs, and also as a signal to both that resources may be re-al
2) Proctor & Gamble (P&G) and the Lever Co. decide to form a laundry detergent cartel for future sales in Europe. Lever is more efficient than P&G. a)illustrate graphically how the
what is microeconomics
THEORY OF INTER-TEMPORAL CONSUMPTION: In the previous two units, we have been concerned with choices among contemporaneous commodities. An important class of choices made by c
discuss how a knowledge of price elasticity and income elasticity be of practical use to a firm
Lovers of classical music persuade Congress to impose a price ceiling of $40 per concert ticket.
Severe drought hit the coffee industry hard this year; as a result, more people are now switching to tea. The first table below shows the original supply and demand quantities in t
When does deadweight loss occur to society? Applying consumer and producer surplus the efficiency costs of a tax: A tax causes a deadweight loss to society, since less the g
How many half-lives are required for the concentration of reactant to decrease to 1.56% of its original value?
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