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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.
Diseconomies of Scale A rises in a firm's cost of producing an additional unit as all another factors of production rising. Diseconomies of scale can be caused by poor and ine
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
The Long-Run Supply of Housing * Scenario 1: Owner-occupied housing - Suburban or rural areas - National market for inputs * Questions - Is this an increasing or co
law of diminishing marginal returns does not hold then output of the world can be produced in a flower pot. Explain?
#quesExamine the expenditure trends over the last 40 years. What are the direction and magnitude of changes in spending in and between these various categories (with the exception
IN YOUR OWN WORDS,HOW DO YOU DIFINE TRANSPORT ECONOMICS?GIVE RELAVANT EXAMPLES OF THIS AREA OF ECONOMICS.
Why is the goal of stability and security important to many people? What problems typically emerge during periods of instability? The instability over the business cycle can b
If there is an industry and some of the companies get shut down, how would you graph the short run and long run effects
if the inverse demand curve is p = 120 - Q and the marginal cost is constant at 10, how does charging the monopoly optimum and the welfare of consumers, the monopoly, and society?
1. Consider the consumption decisions of R.B. Turbo, a new student at Teachers College, Columbia University. Ms. Turbo has only available $1,000 in monthly income to spend on food
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