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A particle is described by the wave function
Ψ(x) ={ Axe^-ax, x>0
Ψ(x) ={ 0, x≤0
where A and a are constants.
(a.) Sketch the wave function.
(b.) Use the normalization condition to determine the constant A.
(c.) Find the most probable position of the particle.
(d.) Calculate the average value of the position of the particle.
suppose that the engineer is at x = 0 when, at t = 0, he first spots the locomotive. Sketch x(t) curves for the locomotive and high-speed train for the cases in which a collision is just avoided and is not quite avoided.
At its Ames Research Center, NASA uses its large "20-G" centrifuge to test the effects of very large accelerations (hypergravity) on test pilots and astronauts. In this device, an arm 8.84m long rotates about one end in a horizontal plane, and the..
In a lightning bolt, a large amount of charge flows during a time of 2.9 x 10-3 s. Assume that the bolt can be represented as a long, How much charged has flowed during the lightning bolt?
A solenoid in MRI is 2.40 m long, 94 cm in diameter, and 1200 turns of superconducting wire. Find a) inductance, b) induced emf in the solenoid while the current in the wire is changing from 0 to 2.5 kA in 30 s.
Describe in words how you would go about calculating the work done by the electric field on the electron as it travels along its trajectory.
A student could either pull or push, at an angle of 30â?? from the horizontal, a 45kg crate on a horizontal surface, Calculate the minimum work required for both pulling and pushing
The frequency doubled output of a Nd3+ YAG laser has a wavelength of 532nm. If each pulse of light has a total energy of 0.550J and the repetition rate of the laser is 30Hz, how many photons does the laser emit at 532nm in 3 minutes.
An elementary particle called a pi meson (or pion for short) has an average lifetime of 2.6×10?8s when at rest. Find the average distance traveled by the pion as measured by the same observer
A 515-? resistor, an uncharged 1.50-µF capacitor, and a battery with an emf of 6.45 V are connected in series. What is the RC time constant?
A student makes a simple ac generator by using a single square wire loop 15cm on a side. The loop is then rotated at a frequency of 60 Hz in a magnetic field of 1.8×10?2T, What is the maximum emf output
A horizontal aluminum rod 4.8 cm in diameter projects 5.6 cm from a wall. A 1200 kg object is suspended from the end of the rod, Find the shear stress on the rod
A cannon fires a cannon ball at 853.59 m/s in a straight line that passes directly over an observer's head. how far is the cannon from the observer
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