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Q1. A particle in an infinite tube.
a) A particle with mass m and energy E is inside a square with tube infinite potential barriers at x=0, x=a, y=0 and y=a. The tube is substantially long in the z direction. Inside the tube v=0. The particle is moving in the +z direction solve the Schrodinger equation to obtain the allowed wave functions for this particle. Do not try to normalize wave functions, but make sure they correspond to motion in the +z direction.
b) Energy must not be quantized in this case because the particle is not in a bound state. Use the answer from part a to show that this is indeed the case.
Q2. Standing at a crosswalk, you hear a frequency of 580 Hz from the siren of an approaching ambulance. After the ambulance passes, the observed frequency of the siren is 493 Hz. Conclude the ambulance's speeds from these observations.
The length of the mercury column is 4.0cm in pure melting ice and 28.0 cm in the steam. Compute the temperature for a length of 22.0.
A 66 N m torque acts on a wheel with a moment of inertia 175 kg m2. If the wheel starts from rest, how long will it take the wheel to make one revolution? The system is released from rest and accelerates under the weight of m2.
What is the terminal speed at which the bar falls? Imagine the bar remains horizontal and in contact with the rods at all times.
A puddle holds 150 grams of water. If .50 grams of water evaporates from the surface, what is the approx temperature altering of the remaining water.
One displacement vector A has magnitude of 2.78 km and point due north. Another displacement vector B has a magnitude of 7.40 km and also points due north. Provide diagrams and calculate the magnitude and direction of A+B, B-A, A-B.
A disk of radius R = 9 cm is pulled along a friction less surface with a force of F = 15 N by a string wrapped around the edge. At the instant when d = 28 cm of string has unwound off the disk, what is torque exerted about the center of the disk.
A cube of ice is taken from the freezer at -8.0°C and placed in a 97 g aluminium calorimeter filled with 286 g of water at room temperature of 20°C. The final situation is observed to be all water at 19°C. What was the mass of the ice cube.
The George Washington bridge, that spans the Hudson River between New York and Jersey, is 4670 feet long and is made out of steel, How much does it expand in length between winter and summer.
The pilot of the spaceship measures the length of the moving ship as 30 meters. Establish its length as measured by a person on earth.
Two identical spacecraft are to be accelerated by rockets. The first rocket fires with a force 4 times as large as that of the second rocket. The acceleration of the first rocket is how many times as vast as the acceleration of the second rocket.
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