Calculate the expectation values of the position, momentum, their squares, and the respective variances a and a, for the n-th stationary state of a particle in the infinite square well (i. e., v (x) )(ih (x) d and express the final result first in terms of en, and also in terms when calculating (p2) 0 if 0 a, and v(x) 00 otherwise) (2) use 2 of a and other relevant constants as required; express the results for o and op in terms of a and other relevant constants. check that the uncertainty principle is satisfied. which state comes closest to the uncertainty limit? plot the probability density for the 5-th stationary state (i. e., for n 5) as a function of r (or x/a) and mark the point corresponding to x .

In order to place a satellite into orbit, it requires enough fuel to supply the necessary mechanical energy. into what types of mechanical energy does the fuel get transformed?

Which is the best for showing percentages of different types of cars sold(gas hybrid , electric , other ) in the united states ?

Search coils and credit cards. one practical way to measure magnetic field strength uses a small, closely wound coil called a search coil. the coil is initially held with its plane perpendicular to a magnetic field. the coil is then either quickly rotated a quarter-turn about a diameter or quickly pulled out of the field. (a) derive the equation relating the total charge q that flows through a search coil to the magnetic-field magnitude b. the search coil has n turns, each with area a, and the flux through the coil is decreased from its initial maximum value to zero in a time ∆t. the resistance of the coil is r, and the total charge is q = i∆t, where i is the average current induced by the change in flux. (b) in a credit card reader, the magnetic strip on the back of a credit card is rapidly “swiped” past a coil within the reader. explain, using the same ideas that underlie the operation of a search coil, how the reader can decode the information stored in the pattern of magnetization on the strip. (c) is it necessary that the credit card be “swiped” through the reader at exactly the right speed? why or why not?