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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.
A 300-g aluminum cup contains 1000 g of water in thermal equilibrium with the cup at 65°C. At what rate is energy being removed
A sheet of plywood 1.39 cm thick is used to make a cabinet door 55.5 cm wide by 69.5 cm tall, what is the moment of inertia of the door about the hinges
A subatomic particle with mass m initially at rest suddenly decays. what is the velocity of the other particle created
In a railroad yard, a 3.5×10^4 kg boxcar moving at 6.0 m/s is stopped by a spring-loaded bumper mounted at the end of the level track
In a series circuit, r=21ohms L=25mH C=17uF V=150v and w=637rad/s, Calculate the peak current in the circuit
A 9300 kg boxcar traveling at 20m/s strikes a second boxcar at rest. The two stick together and move off with a speed of 10 m/s. What is the mass of the second car.
What is the angle of total internal reflection (critical angle) for a glass-to-water interface
A car crashes into a wall at 25 m/s and its contents are brought to rest in 0.1s. display that the average force exerted on a 75-kg test dummy by the seat belt is more than 18,000 N.
question1an electron accelerated from rest through a voltage of 400 v enters a region of constant magnetic field. if
In lectures and in tutorials, we discussed the confinement of an electron (or other particle) to a box of infinite depth, running from x = 0 to x = a. If we, instead, define this 1-D region of confinement as running from -(a/2) to (a/2)
A car is traveling at 29m/s when the driver spots a large pothole in the road the distance 37 m ahead. She immediately applies her brakes. If her acceleration is -6.60m/s2, does she manage to stop before reaching pothole.
You slide a box of books at constant speed up a 30 degree ramp, applying a force of 160 N directed up the slope. What is the mass of the box
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