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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.
My current car gets 10 miles to the gallon and no resale value, but it will last 5 years for sure. I can always buy a new car for 8000 dollars that gets 20 miles to the gallon. A g
explain the fundamental task of economic system usin tomatoes as an example
Patricia nominal annual income
The compact disk player has literally revolutionized the recording industry with its state-of-the-artclarity, sound, durability, and the fact that it costs less than cassette tape
detail of consumer surplus with examples
Differentiate between inflation and unemployment. Inflation is an increase in the general price level that results in a decline in the purchasing power of money. In economics,
Your firms production function : Q=4K^1/2L^1/2 Suppose that the price of labor is $5 and the price of capital is $20. Your firm desires to produce 200 units of output. How much
Question 1: (a) Discuss the adjustment to an increase in demand for a perfectly competitive market in the: (i) Short run (ii) Long run (b) How would the same industry
There are various implications of the monopoly model; many of which lead to criticisms of monopoly on issues of both technical /allocative efficiency. The prices and output verifi
why sellers and producers keep pricess lower
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