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consider a state function which is a superposition of two lowest eigenfunctions of the infinite square well, that is \(\psi=1/\sqrt{a}cos\pix/2a + 2/\sqrt{a}sin\psix/a\)
(a) Normalize this wave function in the space -a < x < a
(b) sketch the probabillity density function , p (x)
(c) include the appropriate time factor in each term of the wave function and finding the probability density function, p(x, t)
(d) Using the normalized wave function in (a), calculate the expectation value of the kinectic energy.
A length of aluminum wire has a resistance of 14.0 ? at 22.0°C. When the wire is warmed in an oven and reaches thermal equilibrium, Neglecting thermal expansion, find the temperature of the oven
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An undersea research chamber is spherical with an external diameter of 5.40 m. The mass of the chamber, when occupied, is 70400 kg. It is anchored to the sea bottom by a cable.
A 1.7m -long barbell has a 21kg weight on its left end and a 32kg weight on its right end. What is the torque due to gravity about the left end of the bar
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The brakes of a truck cause it to slow down by applying a retarding force of 7710 N to the truck over a distance of 1050 m. What is the work done by this force on the truck
The third-order fringe of 650 nm light is observed at an angle of 17° when the light falls on two narrow slits. How far apart are the slits
A computer is reading data from a rotating CD-ROM. At a point that is 0.0256 m from the center of the disk, What is the centripetal acceleration at a point that is 0.0779 m from the center of the disc
A block of mass m = 4 kg slides back and forth on a frictionless horizontal track. It is attached to a spring with a relaxed length of L = 4 m, By what length is the spring extended
The total electric flux coming out of a cubical box, that is 28.0 cm on a side, is 94 GNm^2/C, How many coulombs of charge are enclosed by the box
If the patch is 78 meters wide and the average force of air resistance on the skier is 179 newtons, explain how fast is she going after crossing the patch?
A powerful motorcycle can produce an acceleration of 3.00 m/s2 while traveling at 90.0 km/h. What force does the motorcycle exert backward on the ground
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