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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.
Allocative efficiency criteria are satisfied by the competitive model. Because P = MC, in each market in the economy there is no over- or under- allocation of resources in this ec
The price of petrol fell during the past year. a. Explain why the law of demand applies to petrol just as it does to all other goods and services. b. Explain how the substitu
Inflation-Unemployment Trade-off under Adaptive Expectations : By the late 1960s, the inverse relation between inflation and unemployment as suggested by the Phillips curve was
similarities
They take deposits which mean borrow money and make loans which means lend money. The interest rate they pay on the deposits is less than the interest rate they charge on their loa
There are six potential customers of computer games, each willing to buy only one game Consumer 1 is willing to pay $40, Consumer 2 is willing to pay $35, consumer 3 is willing to
explain how macro and micro issues may be represented using production possibility curve
Malthus and the Food Crisis - Malthus predicted starvation as diminishing returns limited agricultural output and the population continued to grow. - Why did Malthus' predic
What is indifference curve and its properties?
draw a production possibility frontier task using the graph and value and identity the pareto efficent and inefficient point and the marginal oppotunity cost of x for each point of
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