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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.
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Second degree price discrimination (two part-tariff) An electric utility in Ontario has the following cost structure: TC = 500 + 20Q Suppose that the market (inverse o
GDP Price Level At the equilibrium level of income aggregate spending in the economy equals aggregate output. All along, we have assumed that the general price level remains un
if a bank has $6000 in checkable deposits and the required reserve ratio is 0.2 then the bank can lend how much money?
Regulation is not a panacea. There are troubles with rate regulation. In our litigious society, the legal proceedings contained in rate regulation are not inexpensive for any of
some fields have large enough quantities of both oil and ntural gas taht coordination must be achieved for the production of both, reather than oil alone as in our examples. will f
Implications for the Role of Economic Theory : Like the schedule for the marginal efficiency of capital, expectations about the future market rate of interest underlie the li
Do the laws of economics still work today? use the case discussed in class to answer this question or any other examples) (ii) Provide examples of three factors that can shift the
Exchange Rate Policy: LERMS, a dual exchange rate system, was introduced in the Budget for 1992-93. Under this system, 40 per cent of foreign exchange earnings were to be sur
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