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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 coil of inductance 81 mH and unknown resistance and a 0.84 µF capacitor are connected in series with an alternating emf of frequency 875 Hz. what is the resistance of the coil
A solid (cylindrical) flywheel of mass m and radius r is initally at rest. A force F acts tangentially on its perimeter for a time t. Show that its angular velocity at t = 2Ft/mr . Illustrate what is its angular displacement during that time?
A drum major twirls a 93-cm-long, 440g baton about its center of mass at 150rpm. What is the baton's rotational kinetic energy
if the tension in the string is increased by 1.4%, what will be the new fundamental frequency, if the original was 245 Hz?, and the length of the string is .76m
The temperature of the surface of the sun is 6000K and its radius is 696,000Km. How much energy is the sun radiating into space per second
An aircraft?weighing 971?N? is accelerated?at 9.1 m/s2 for 5 seconds, at which time the aircraft launches. What is the force required to launch the aircraft
Suppose that you have a 390 ?, a 780 ?, and a 2.20 k? resistor. What is the maximum resistance you can obtain by combining these
The ground state for a single valence electron of a rubidium atom (Z=37) is 5s and its energy is –4.18 eV. The valence electron is excited into the 5g state. We want to determine the energy of this 5g electron. Assume that the wave function for th..
Assume that Young's Modulus for bone is 1.50 1010 N/m2 and that the bone will fracture if more than 1.50 108 N/m2 is exerted. What is the maximum force that can be exerted on the femur bone
971-kg car starts from rest on a horizontal roadway and accelerates eastward for 5.00 s when it reaches a speed of 30.0 m/s. What is the average force exerted on the car
A helicopter lifts a 72 kg astronaut 19 m vertically from the ocean by means of a cable. The acceleration of the astronaut is g/12. How much work is done on the astronaut
Calculate the radius of the path, direction of the force experienced by the electron and the path of the electron through the magnetic field.
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