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Normalizing a wavefunction:
As we will discuss in the coming week, the wavefunctions of conductive electrons in carbon nanotubes can be modeled as ( \(\Psi(x)=Nsin(\pi x/L)\) )
where L is the length of the nanotube. If you assume that the electron is confined to the length of the nanotube, so that it must be found between x=0 and x=L, what will the normalized version of this wavefunction look like; that is, what is the value of N?
A uniform disk with mass m = 9.09 kg and radius R = 1.37 m lies in the x-y plane and centered at the origin. Three forces act in the +y-direction on the disk: 1) a force 317 N at the edge of the disk on the +x-axis, 2) a force 317 N at the edge of..
A hockey player is standing on his skates on a frozen pond when an opposing player, moving with a uniform speed of 15 m/s, skates by with the puck, How long does it take him to catch his opponent
The weight of passengers on a roller coaster increases by 53 as the car goes through a dip with a 40 radius of curvature
A 42.0-cm diameter wheel, consisting of a rim and six spokes, is constructed from a thin rigid plastic material having a linear mass density of 25.0 g/cm. This wheel is released from rest at the top of a hill 53.0 high. 1.
A luge and its rider, with a total mass of 82 kg, emerge from a downhill track onto a horizontal straight track with an initial speed of 43 m/s. Assume that they stop with the constant deceleration of 3.2 m/s2.
A set of charges are arranged in the following way: a 10.0 nC (nanocoulomb) positively charged particle sits at the origin of a coordinate system, Sketch a diagram of this charge configuration
A diver releases an air bubble of volume 2.0cm3from a depth of 16m below the surface of a lake, What is the volume of the bubble when it reaches just below the surface of the lake
Your clock radio awakens you with a steady and irritating sound of frequency 600 Hz. One morning, it malfunctions and cannot be turned off. What is the frequency of this reflected sound
A boy throws a ball into an open window 10m above his shoulder at 65 degrees with the horizontal. He observes that the ball flies in horizontal. A. What is the initial speed of the ball
Two capacitors, C1 = 19.0 µF and C2 = 30.0 µF, are connected in series, and a 3.0 V battery is connected across them. Find the equivalent capacitance, and the energy contained in this equivalent capacitor.
Red light of wavelength 633nm from a helium-neon laser passes through a slit 0.370mm wide. What is the width of the central bright fringe
in a hurricane, the air (density 1.2kg/m3) is blowing over the roof of a house at a speed of 104km/hr. what is the lifting force on the roof of area 100m2
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